-369 + 451. Calculate the remainder when z is divided by 25.
7
Let g = -2196 + 3724. What is the remainder when g is divided by 51?
49
Let u = -72 + 101. Suppose t = 5, 0 = -3*b + t - 4*t - 2457. What is the remainder when u is divided by 2/7 - b/56?
14
Suppose -4*x - 2*j = -4, 0 = -j - 3*j + 16. Let o = 12 - x. Suppose 4*t + 11 = 99. Calculate the remainder when t is divided by o.
9
Let b = -138 + 186. Calculate the remainder when 105 is divided by b.
9
Suppose 3*t - 93 = -0*o - 5*o, 3*t - 5*o - 63 = 0. Let c = 48 + t. Calculate the remainder when c is divided by 19.
17
Let n(z) = 3*z**2 + 11*z - 1. Let h be n(-5). Suppose h = 4*t - 0*c + c, 2*c - 6 = 0. What is the remainder when (32/(-24))/(t/(-150)) is divided by 17?
16
Let r = -104 + 145. Suppose 0 = -3*g - 4*m + r, g = 2*m - 1 - 2. Calculate the remainder when 27 is divided by g.
6
Let w = -298 + 325. What is the remainder when 1240 is divided by w?
25
Suppose -3*c + 2*c = -5*f + 9, 2*f - 5*c + 1 = 0. Suppose -4*t + 16 = -f*t. Let r(a) = -2*a + 5. Calculate the remainder when r(-5) is divided by t.
7
Let o(s) = -s**3 + 5*s**2 + 2*s - 1. Let j be o(5). Let p = j - -2. Calculate the remainder when 42 is divided by p.
9
Suppose -2*z = -5*m - 243, 4*z = m + 12 + 465. What is the remainder when z is divided by 15?
14
Suppose 5*d + 4 = 29, -4*d = 5*u - 2205. Suppose 4*w + 73 = u. Calculate the remainder when w is divided by 23.
22
Let i(x) = 9*x**2 - 5. Let u be i(2). Suppose -4*s = 3*m + u - 298, 3*m = 15. What is the remainder when s is divided by 22?
19
Let p(q) = q**2 + q + 14. Suppose 0*d + 5*d - 3*u = 39, 2*u = -2*d + 22. Calculate the remainder when p(0) is divided by d.
5
Suppose 2 = -l, -3*m + l + 98 = 6*l. What is the remainder when 195 is divided by m?
15
What is the remainder when 37 is divided by -3*((-161)/21 - -3)?
9
Let j be 262/(-6) - 1/3. Let k(c) = c**3 + 34*c**2 - 3*c - 39. Let w be k(-34). Let y = w + j. Calculate the remainder when 54 is divided by y.
16
Suppose -17*p + 152 = -9*p. Let q = -38 - -52. Calculate the remainder when p is divided by q.
5
Let n(l) = -4 + 4 + 10*l + 13 - 9*l. Let k be n(-12). Let d(m) = 11*m**3. What is the remainder when d(k) is divided by 6?
5
Let h(p) = 3*p**2 - 14*p + 4. Let n(t) = t**2 + t + 1. Let c(a) = h(a) - 2*n(a). What is the remainder when 132 is divided by c(17)?
18
Let u(v) = -4*v**2 - 4*v - 18. Let j(w) = w**2 - w - 1. Let p(q) = -5*j(q) - u(q). What is the remainder when p(7) is divided by 8?
5
Suppose -2*o + 33 = -3*b, 3*o - o - 37 = -b. Suppose -2*d - o = -5*d. What is the remainder when d is divided by (-84)/(-112) + 10/8?
0
Let b = -110 + 433. Suppose -22 = -5*i + b. What is the remainder when i is divided by 18?
15
Let y(r) = -r**2 + 14*r - 13. Suppose p = 5, 2*p = n - 29 - 4. What is the remainder when n is divided by y(12)?
10
Let r(w) = w**2 - 2*w - 6. Let i = -20 + 19. Let m be (-4)/2 - (-9 - i). Calculate the remainder when r(m) is divided by 7.
4
Suppose o - 3*c - 115 = 0, -5*o + 11*c + 623 = 12*c. Calculate the remainder when o is divided by 33.
25
Let m(c) = -c**3 - 5*c**2 + 14*c + 14. What is the remainder when 37 is divided by m(-7)?
9
Suppose -2*x = -2*d + 3*d - 371, -x = 4*d - 196. What is the remainder when x is divided by 32?
24
Suppose v = -2, 2*j + 5*v - 14 = j. Suppose -4*a = -3*s - 46, 4*s = 6*s - 2*a + 28. Let w = s + j. What is the remainder when 40 is divided by w?
12
Suppose -7*d = 283 - 1438. What is the remainder when d is divided by 55?
0
Suppose 2*c + 4*i - 3*i - 88 = 0, -122 = -3*c - 4*i. Let t = 83 - c. What is the remainder when t is divided by 8?
5
Suppose -6*d = -14*d + 208. Calculate the remainder when 311 is divided by d.
25
Calculate the remainder when -4 + 14/5 - 2862/(-10) is divided by 2.
1
Let z = 18 - 21. Calculate the remainder when (z/(-1))/((-30)/(-530)) is divided by 18.
17
Suppose -2*g = -3*d - 192, -4*g - g + 518 = 2*d. What is the remainder when g is divided by 8?
6
Let y(d) be the third derivative of -d**6/120 - d**5/12 + 5*d**4/24 + 2*d**3/3 - 9*d**2. Calculate the remainder when 26 is divided by y(-6).
6
What is the remainder when 24 - ((-16)/(-10) - 10/(-25)) is divided by 20?
2
Let h(p) = p**3 + 10*p**2 + 14*p + 4. Let k be h(-6). Suppose -18*z + k = -14*z. What is the remainder when 60 is divided by z?
12
Let c(o) = -o**2 - 19*o + 143. Calculate the remainder when c(-21) is divided by 11.
2
Suppose 392 = 5*o + 72. Suppose 0 = 3*z + 2*g + 59 + o, 3*z - 5*g = -123. What is the remainder when z/(-2) + (-3)/6 is divided by 11?
9
Suppose 62 = 5*p - 43. Calculate the remainder when p is divided by 1 - (7 + -3 + -14).
10
Let v(m) = -8*m - 37. Let c(h) = -23*h - 112. Let t(w) = 4*c(w) - 11*v(w). What is the remainder when t(-11) is divided by 2?
1
What is the remainder when 109 is divided by (2 - 13/5)*1050/(-30)?
4
Let v(i) = i**3 - 6*i**2 + 4*i - 111. Calculate the remainder when v(9) is divided by 47.
27
Let c = -69 + 71. Suppose -64 = -6*d + c. Calculate the remainder when 41 is divided by d.
8
Let k be (-8)/4 + -2 + (2 - 2). What is the remainder when -17*k/(-8)*(-6)/3 is divided by 10?
7
Suppose 52*c - 2*l - 88 = 48*c, -5*l - 76 = -4*c. Calculate the remainder when 565 is divided by c.
13
Suppose -4*a + 3 + 5 = 0, 3*c + a - 8 = 0. What is the remainder when c*39*21/42 is divided by 8?
7
Let q(n) = -n**3 - 8*n**2 + n + 11. Let m be q(-8). Suppose m*s - 67 = -k, 5*s - 5*k - 118 = -13. What is the remainder when s is divided by 12?
10
Let q(u) = u + 20. Suppose -6 = 4*l + 2, -4*r - 10 = 5*l. Calculate the remainder when q(r) is divided by 8.
4
Let h = 879 - 824. What is the remainder when 120 is divided by h?
10
Suppose 2*g = -475 + 545. Calculate the remainder when 664 is divided by g.
34
Let f(o) = o**2 + 3*o. Let p(v) = v**2 - 5*v + 3. Let r be p(5). Suppose d + 2*m = 6, 18 = r*d - 0*d + 2*m. Calculate the remainder when f(d) is divided by 14.
12
Suppose -6*l = -2*l - 16. Calculate the remainder when 78 is divided by 70/l + 21/(-42).
10
Suppose -125 = -5*o - 4*a, -5*o + 9*a - 4*a = -170. Calculate the remainder when 53 is divided by o.
24
Suppose 6*j + 1 = 7. What is the remainder when 0 + -1 - (-7 + j) is divided by 4?
1
Suppose -4*t + 8*t = 0. Suppose 5*s - 4*j - 147 = t, 2*s = -7*j + 2*j + 72. Calculate the remainder when s is divided by 17.
14
Calculate the remainder when (760/100)/((-2)/(-35)) is divided by 63.
7
Suppose 51 = 3*c + 9. Let d(v) = v**2 - 4*v + 9. Suppose 2*u = 4*u + 10. Calculate the remainder when d(u) is divided by c.
12
Suppose -2*n - 225 = -3*h, 0 = -29*h + 27*h - 5*n + 169. Calculate the remainder when h is divided by 76.
1
Suppose 18*k - 21*k + 471 = 0. Let v = k + -79. What is the remainder when v is divided by 16?
14
Suppose -m + 6 = 10. What is the remainder when 38 is divided by 18 - 1 - m/1?
17
Let h = -24 + 29. Let f be h*(7/5 + -2). Calculate the remainder when 6 is divided by (f/6)/(1/(-8)).
2
Suppose 0 = -0*q + 2*q - 8. Let r be (-2)/(-4)*q + 3. Suppose -s + 3*i = 7, r*i - 1 = -s + 16. What is the remainder when 7 is divided by s?
1
Suppose 3*y - 596 = -2*t + 79, -4*y + 900 = 5*t. Calculate the remainder when y is divided by 77.
71
Calculate the remainder when (14434/8)/(1204/1376) is divided by 8.
6
Let v(q) = q**2 + q - 3. Let i(x) = -x**3 - x**2 + 4*x - 1. Let g(k) = -k**2 - 7*k - 3. Let u be g(-7). What is the remainder when v(3) is divided by i(u)?
4
Suppose -47 + 157 = 5*u. Suppose u = m + 4. Calculate the remainder when 122 is divided by m.
14
Let j(l) = l**3 - 39*l**2 - 40*l + 34. Suppose 24 = 2*a + 2*w - 5*w, -4*a - 2*w + 80 = 0. Calculate the remainder when j(40) is divided by a.
16
Let j = 716 + -667. Suppose -m - 1 = -14. What is the remainder when j is divided by m?
10
Let t = 82 + -42. Let o(h) = 42*h**3 - h**2 - h. Let q be o(-1). Let v = 63 + q. What is the remainder when t is divided by v?
19
Let x(s) = 33*s - 49. Calculate the remainder when 33 is divided by x(2).
16
Suppose -6 = 2*n + u + 4, -3*n - 21 = 3*u. What is the remainder when 20 is divided by 1/(n/(-4))*6?
4
Suppose -3*y = 4*h - 728, -9*y + 7*y + 910 = 5*h. What is the remainder when h is divided by 23?
21
Let n be 2/1*5/2. Suppose 4 = -4*l + n*l. Suppose -5*r = -l*d - d, -5*r + 35 = 2*d. Calculate the remainder when 17 is divided by d.
2
Suppose 5*m + 582 = 