 Calculate the remainder when z is divided by 17.
15
Let c = 1301 - 1145. Calculate the remainder when c is divided by 42.
30
Suppose 4*j + 4*n = 200, -4*j + n = -0*n - 185. Suppose -g + j = 4*b + 2*g, -3*g + 14 = b. Calculate the remainder when b is divided by 6.
5
Suppose 8*t + 384 = 9*t. Calculate the remainder when t is divided by 55.
54
Suppose 0 = 2*z + a - 55, 3*a - 6*a - 15 = 0. What is the remainder when 116 is divided by z?
26
Let p = -82 + 145. Suppose 43 = -4*g + p. Calculate the remainder when 8 is divided by g.
3
Let z = -8 + 12. Suppose -z*s = -102 - 14. Suppose 3*v - 43 = -5*a, -4*v - a = -5*a - 68. Calculate the remainder when s is divided by v.
13
Suppose -3*n + 47 = -13. Let q be ((-24)/n)/((-2)/(-20)). Let s = -8 - q. Calculate the remainder when 7 is divided by s.
3
Suppose -931*y + 125 = -926*y. Calculate the remainder when 424 is divided by y.
24
Let l(q) = q**3 + 5*q**2 - 2*q + 3. Calculate the remainder when 33 is divided by l(-5).
7
Let s(w) be the third derivative of -13*w**4/12 - 2*w**3/3 - 4*w**2. Calculate the remainder when s(-2) is divided by 13.
9
Let l = -3 + 7. Let o be 3 + -4 + l + -1. Suppose -6*w + 2*w = 2*s - 126, 45 = o*w - 5*s. What is the remainder when 119 is divided by w?
29
Suppose -540 = -5*o - 4*r, 5*o - 68 = -5*r + 472. Calculate the remainder when o is divided by 41.
26
Let r(j) = -2*j**3 - 2*j**2 + j - 1. Let c(o) = 8*o**3 + 8*o**2 - 4*o + 5. Let l(x) = -2*c(x) - 9*r(x). Calculate the remainder when 81 is divided by l(2).
18
Let n be (-131)/(-2) - 2*6/8. Let k = -5 - -8. Suppose -n = -k*y - y. What is the remainder when 47 is divided by y?
15
Let i = 4 + 29. Suppose 5*f + 4*g = 6*g, 4*f + 5*g = i. Suppose 0 = f*u + 3*l - 48, 0*l - 83 = -3*u + l. What is the remainder when u is divided by 14?
13
Suppose -83 - 5 = 2*c. Let v = -24 - c. Calculate the remainder when v is divided by 426/39 - (80/65)/(-16).
9
Suppose 0*b + 3*b = 3. Calculate the remainder when (25/5 - 11)/(-4 + 1) is divided by b.
0
Let w(b) = -13*b**3 + 2*b**2 - 4*b - 5. Calculate the remainder when 18 is divided by w(-1).
4
Suppose 0 = -3*m + 3, -556 = -3*l - 4*m + 3*m. What is the remainder when l is divided by 27?
23
Let d = -42 + 72. Suppose -3*o - 42 = -4*j, -j + 3*o + d = 2*j. Calculate the remainder when 23 is divided by j.
11
Let j(h) = -h**2 + 14*h + 535. What is the remainder when 303 is divided by j(31)?
7
Let l be 9/6 + 39/6. Suppose 0*x + 2*x - l = 0. Suppose 18 = 3*j - n, 4*n = -x*j + n + 37. What is the remainder when 27 is divided by j?
6
Suppose 4*p = 2*y - 392, -2*p - 4 = -12. What is the remainder when y is divided by 54?
42
Let v = 9 - 6. Let t = 271 + -268. Suppose -b = v*c - 18, 8*c = -t*b + 3*c + 42. What is the remainder when b is divided by 3?
0
Suppose -4*t = -5*t + 61. What is the remainder when t is divided by 0/4 + 0 - -21?
19
Let v(z) be the second derivative of -z**4/12 - z**3/6 + 3*z**2/2 + 4*z. Let l be v(2). What is the remainder when 13 is divided by (-11)/l - 2/(-6)?
1
Let m(h) = 2*h - 24. Let g be m(12). Suppose g = -5*s + 9 + 11, -3*l - 5*s + 41 = 0. Calculate the remainder when 26 is divided by l.
5
Let g = -872 + 875. What is the remainder when 116 is divided by g?
2
Let p(g) be the second derivative of 0 + g - g**3 - 5/2*g**2. What is the remainder when p(-7) is divided by 10?
7
What is the remainder when 8 + (-520)/(-4 - 0) is divided by 7?
5
Let o = 28 - 14. Suppose 0 = -4*u - 0*n - n - 1, 3*n = 5*u + 14. Let a = 27 + u. Calculate the remainder when a is divided by o.
12
Let s = -173 - -231. Calculate the remainder when s is divided by 33.
25
Let g be (-48)/(-6)*(-4)/(-1). Suppose g - 18 = 2*r. Calculate the remainder when 39 is divided by r.
4
Suppose 259 - 105 = 7*j. What is the remainder when j is divided by -1*(36/(-4) + -4)?
9
Let c = 22 - 13. Suppose 23 = -4*i - c. Let f = i + 21. Calculate the remainder when 25 is divided by f.
12
Let m(d) = -d**3 + 6*d**2 - 7*d + 10. What is the remainder when 61 is divided by m(4)?
5
Let a = 415 + -358. Calculate the remainder when 82 is divided by a.
25
Let q(n) = n**2 + 7*n - 7. Let k(w) = -2*w**2 - 6*w - 1. Let p be k(-4). What is the remainder when q(p) is divided by 5?
1
Suppose -j = -5*x + 78 + 91, 0 = 2*j + 8. Calculate the remainder when x is divided by 17.
16
Let s(h) = 12*h**2 - 5*h + 38. What is the remainder when s(3) is divided by 20?
11
Let n = 93 - 89. Calculate the remainder when (3 - 4) + n - (-44 + 6) is divided by 21.
20
Let c(j) = 2*j**2 + j + 4. Let d(t) = 2*t + 25. Let r be d(-11). What is the remainder when c(4) is divided by r*(-3 + -4 + 14)?
19
Suppose -5*a - 2*v = 2*v - 243, 3*v = -2*a + 93. What is the remainder when 9/6 + 0 + (-27807)/(-186) is divided by a?
49
Suppose j + 2*j - 3 = 0, -41 = -4*x - 5*j. Let a(z) = z**2 - 5*z + 7. What is the remainder when x is divided by a(4)?
0
Calculate the remainder when 92 - 42/((-14)/(-2)) is divided by 31.
24
Let y be -2*(-5)/(20/(-16)). Let a = -29 - y. Let j = -5 - a. What is the remainder when 60 is divided by j?
12
Suppose 6*x - 4 = 2. Let y be x/((9/(-28))/(-9)). Let o = y - 20. Calculate the remainder when 15 is divided by o.
7
Let l(v) = -3*v**3 - v**2 - v + 1. Let u be l(1). Suppose -11 = -b + 9. Calculate the remainder when (117/u)/((-45)/120) is divided by b.
18
Let a(w) = 2*w**3 - 59*w**2 + 30*w + 41. What is the remainder when 196 is divided by a(29)?
56
Let k = -128 + 154. Calculate the remainder when 155 is divided by k.
25
Let n = 11 - 10. Suppose c = n + 4. Suppose 24 = -c*y + 194. What is the remainder when y is divided by 12?
10
Suppose 3*u = 6, -h - 16 + 52 = 3*u. Calculate the remainder when 85 is divided by h.
25
Suppose 5*v - 2 = -q, -q + 4*v - 10 = -3*q. Calculate the remainder when 69 is divided by q.
6
Let z = 36 + -14. Let j(h) be the second derivative of h**4/12 - 2*h**2 + 4*h. Calculate the remainder when z is divided by j(4).
10
Let d be 1/(-4) + 2/8. Suppose 2*m - 28 + 4 = d. Calculate the remainder when 2 is divided by (-3)/(-6)*m/3.
0
Let k(s) = 1 + 3 + 8 - 2 + 2*s. Calculate the remainder when k(5) is divided by 7.
6
Let r = 9 - 6. Let c(j) = 2*j**3 - 4*j**2 - 2*j + 1. Calculate the remainder when c(4) is divided by (24 - 20)/(1/r).
9
Let c = -209 + 96. Let z = 255 + c. What is the remainder when z is divided by 36?
34
Let j be 34/(((-1)/(-2))/1*-2). Let f = j + 72. Calculate the remainder when f is divided by 14.
10
Let o(y) be the third derivative of -y**5/60 + y**4/3 + y**3/6 - 3*y**2. Let h = -47 - -70. What is the remainder when h is divided by o(6)?
10
Suppose -4*n + 164 = 8*y - 12*y, -240 = -5*n - 2*y. What is the remainder when 405 is divided by n?
37
Let m = -23 - -25. Suppose m*c = 55 + 13. What is the remainder when 133 is divided by c?
31
Suppose 199*c = 197*c + 76. Calculate the remainder when c is divided by 20.
18
Suppose 11*v - 14 = 4*v. Let q(y) = -19 - y**3 + 17 + 0*y**2 + 4*y - 5*y - 2*y**v. What is the remainder when 39 is divided by q(-3)?
9
Let r(h) = h**2 - 16*h + 34. Calculate the remainder when r(18) is divided by 11.
4
Suppose 90 = -14*i + 59*i. What is the remainder when 10 is divided by i?
0
Let z(m) = -m**3 + 55*m**2 - m + 78. What is the remainder when 251 is divided by z(55)?
21
Let j(t) = t**2 - 13. Let h be j(-4). Suppose 0 = v - 3*g - g - 34, h*v - 3*g = 57. Calculate the remainder when 26 is divided by v.
12
Let j(f) = -f**2 - 6*f + 9. Let w be j(-7). Suppose 2*m + 2*n + 2 = -w, -4*n - 18 = -m. Suppose -g + 15 + m = 0. What is the remainder when g is divided by 9?
8
Suppose -4*d = 3*u - 8*d - 13, 10 = 2*u - 2*d. What is the remainder when 54 is divided by u?
5
Let z(j) = 2*j + 29. Let q be z(-13). Suppose 149 + 76 = q*y. What is the remainder when y is divided by 26?
23
Suppose 0 = -5*x - 3*h + 3176, -3*h - 1266 = -2*x - 2*h. What is the remainder when x is divided by 91?
88
Let u(j) be the third derivative of j**6/120 + 7*j**5/20 - 13*j**4/12 + 11*j**3/6 + 9*j**2. What is the remainder when u(-22) is divided by 17?
14
Calculate the remainder when (259*1)/((55/11)/5) is divided by 10.
9
Suppose 3*z + 257 = 50. Let s = z + 102. Calculate the remainder when 87 is divided by s.
21
Suppose -3*p + 9 = l, -5*p + l = -13 - 2. Suppose 3*y = 5*q - 352, -p*q - 3*y + 328 = 2*q. What is the remainder when q is divided by