 0 = 5*t + 29 - 229. What is the remainder when t is divided by u?
18
Let u = 579134 + -579124. Suppose 0*z + z = 147. What is the remainder when z is divided by u?
7
Let l = -20428 - -20445. What is the remainder when 6846 is divided by l?
12
Let p(n) = 32*n**2 + 39*n - 7. Let b be p(-6). Suppose 45*w = -11 + b. Calculate the remainder when 77 is divided by w.
17
Let w = -490 - -528. Let h = w + 39. What is the remainder when h is divided by 44?
33
Let n(o) = -o**3 + 15*o**2 + 2*o - 39. Let s be n(17). Let m = s + 644. What is the remainder when m is divided by 49?
12
Suppose -7 = -2*t + 1. Suppose -23*z + 2*d + 1 = -22*z, 4*z = -4*d + 16. Suppose t*i = z*i + 58. Calculate the remainder when i is divided by 20.
18
Suppose 66 + 64 = -27*t + 32*t. Let b(w) = 27*w - 10. What is the remainder when b(9) is divided by t?
25
Let t = -3610 + 3639. What is the remainder when t is divided by 16?
13
Let w = 18958 + -18933. Suppose h + 2*r - 21 = 155, 0 = -h - r + 174. What is the remainder when h is divided by w?
22
Let m(q) = 2*q**3 - 7*q**2 + 7*q - 5. Suppose -3*t - 21 = 0, -130*n = -129*n + 4*t - 88. What is the remainder when n is divided by m(4)?
38
Suppose 0 = 4*s + 16, 3*s = -60*p + 56*p + 1980. What is the remainder when p is divided by 495?
3
Let v(l) = -87*l**2 + 3*l - 3. Let q be v(1). Let s = 90 + q. Suppose -s*x - 2*r = 3*r - 170, 2*x = -3*r + 115. What is the remainder when x is divided by 22?
21
Let w be (-1 - 3/(-2)) + (-15)/6. Let d = -55 - -101. Calculate the remainder when d is divided by (w - -4) + (-28)/(-2).
14
Let n(a) = 8*a**2 - 518*a - 182. What is the remainder when 1913 is divided by n(66)?
1
Suppose 8*q - q - q - 966 = 0. What is the remainder when 2088 is divided by q?
156
Let d(a) = -217*a - 3249. What is the remainder when 449 is divided by d(-17)?
9
Suppose 0 = -10*p + 47 + 43. Calculate the remainder when ((-15)/p)/(30/(-2034)) is divided by 23.
21
Suppose 0 = -5*y + 5 - 0. Suppose 3*v - 19 = -y. What is the remainder when (-814)/(-18) + (-45)/162*(-24)/(-30) is divided by v?
3
Suppose -24*a - 2 = 22. What is the remainder when -18*(a*4 - (-8 + 5)) is divided by 2/(-18)*-6 - 38/(-6)?
4
Let d = 6666 + -6662. Let p(r) = r + 4. Let k be p(-5). Let q(v) = -23*v - 1. What is the remainder when q(k) is divided by d?
2
Suppose -32*s + 1432 = -7*s - 2293. What is the remainder when 2375 is divided by s?
140
Suppose 17*t + 2223 = 5164. What is the remainder when 675 is divided by t?
156
Suppose 4 = -2*m - 8. Let g(q) be the third derivative of q**5/30 + 13*q**4/24 + 8*q**3/3 + 588*q**2. Calculate the remainder when 28 is divided by g(m).
8
Let b = 5638 + -4921. Calculate the remainder when b is divided by 18.
15
Let j = -10 + 15. Suppose -j*s = 4*d - d - 133, s = 2*d - 80. What is the remainder when (-31)/(4805/(-1488))*(-50)/(-4) is divided by d?
38
Let h(d) = 40*d**2 - 11*d - 136. Calculate the remainder when h(-7) is divided by 945.
11
Suppose -3*i - 3*i = 0. Let s be (-9 - i - 1)/(-2). Suppose g - 16 = -s. What is the remainder when 65 is divided by g?
10
Let f = 4 - -7. Suppose -5*o + 15 + 0 = 0. Suppose o*l - 234 = -3*l. What is the remainder when l is divided by f?
6
Let f(x) = -65*x - 928. What is the remainder when 1618 is divided by f(-15)?
20
Let p(n) = -12*n**2 + 40*n**2 + 4 - 12*n**2 - 15*n**2 + 3*n - 2*n**3. Let w = 1 + 52. Calculate the remainder when w is divided by p(-2).
17
Let h be (15/6)/(((-264)/(-32))/1 - 8). Suppose -3*r = -12, -3*y - 3*r = -111 + 33. What is the remainder when 56 is divided by y + h/(-5) - 1?
18
Let m = 2518 - 1378. What is the remainder when m is divided by 127?
124
Let o(w) = -7*w**3 - 11*w**2 + 46. What is the remainder when o(-7) is divided by 13?
10
Let b be 3 - (4 + (-3)/1). Let a(v) = -5*v**2 + 10*v**b - 6*v**2 - 12*v**3. What is the remainder when a(-1) is divided by 6?
5
Calculate the remainder when 386 is divided by (-5 - 1) + (41 - 5/((-5)/(-2))).
23
Let x(i) = -31*i - 45. Let l be x(-7). Let g = l + -112. What is the remainder when g is divided by 25?
10
Let g = 4 + -3. What is the remainder when 3*((-44)/(-3) + g) is divided by ((-2)/6)/(177/1062) + 28?
21
Suppose 20*s = -43 - 117. What is the remainder when s - (-4 + -1) - -50 is divided by 37?
10
Let l = 19 - 17. Suppose 0*c + l*c = c. Suppose 4*n + c*n - 136 = 0. Calculate the remainder when n is divided by 4.
2
Suppose 11*p - 247 = -8*p. What is the remainder when 0 + 1 - (1 + -3 + -125) is divided by p?
11
Suppose 0 = 116*k - 118*k - 2*c + 108, 6*k - c - 254 = 0. Let w = 2 + 4. What is the remainder when k is divided by w?
2
Let n(v) = -7*v + 17. Let c be (7 - 7)*(-1)/2. What is the remainder when 98 is divided by n(c)?
13
What is the remainder when 878 is divided by ((-12)/6)/(10/3325*-7)?
23
Suppose 235*o - 252 = 228*o. Suppose -5*s + 29 = -q - 9, o = 3*s - 5*q. Calculate the remainder when s is divided by 2.
1
Let k(y) be the first derivative of -11*y**2/2 + 51*y + 1. Let v be k(7). Calculate the remainder when 3*5/(-30)*v is divided by 5.
3
Let r(c) = -4*c - 20. Let z be r(-5). Suppose 212 = w - z*w. What is the remainder when (w/(-20))/((-3)/15) is divided by 11?
9
Let n(a) = 11*a**2 - 178*a - 177. Let k(g) = 4*g**2 - 60*g - 59. Let y(t) = -17*k(t) + 6*n(t). What is the remainder when y(-17) is divided by 7?
4
What is the remainder when ((-6)/(-3) + 898)/((-470)/20 + 25) is divided by 100?
0
Suppose 0 = -2*l + 10, 4*x - 80*l + 77*l - 72845 = 0. What is the remainder when x is divided by 276?
275
Suppose 9798 = 273*l - 60*l. Calculate the remainder when 2388 is divided by l.
42
Calculate the remainder when 158*(-97)/(-2) + 2 + -3 + 0 is divided by 8.
6
Let d = -5715 - -5864. Calculate the remainder when 736 is divided by d.
140
Let k(w) = w**2 - 89*w + 184. Calculate the remainder when 952 is divided by k(88).
88
Let a(n) be the first derivative of -n**3/3 + 11*n**2/2 + 23*n - 33. Calculate the remainder when 59 is divided by a(12).
4
Suppose 74*r + 20 = 69*r, -2*b + 3*r = -616. Calculate the remainder when 659 is divided by b.
55
What is the remainder when 448 is divided by 43 + (15 - (3 - -14))?
38
Let r(n) = 2*n**3 + 12*n**2 + 2*n + 27. Let y(a) = -a**2 - 6*a - 3. Let o be y(-4). Suppose -2 - 18 = -o*h. What is the remainder when r(-6) is divided by h?
3
Let y(t) = -13*t - 11. Let d be y(-2). Suppose d = 5*k, 4*f + f - 1175 = -5*k. Calculate the remainder when f is divided by 26.
24
Suppose 0 = p - 4*a - 13 - 9, -3*a = 9. What is the remainder when 2486 is divided by p?
6
Let h(k) = 2*k**2 + 30*k - 26. Suppose 0 = 15*w - 6*w + 162. Calculate the remainder when h(w) is divided by 17.
14
Let o(n) = -3*n**2 - 11*n - 7. Let t be o(-11). Let r = t - -292. What is the remainder when 119 is divided by r?
33
Let t = 41 + -17. Let v = t - 20. Suppose 2*n = -0*a - 3*a + 6, a = 4*n + 16. Calculate the remainder when v is divided by a.
0
Let v = -17915 - -17948. Suppose -4*l - 14 = 3*h - 4*h, -l = -5*h + 108. What is the remainder when v is divided by h?
11
Suppose 39 + 15 = 5*x - 4*d, 0 = x + d - 18. Let b(o) = -102*o + 12. Let m be b(1). What is the remainder when ((-6)/5)/(-6 - 536/m) is divided by x?
13
Let u(k) = -162*k - 9409. Let q = -48 - -78. Calculate the remainder when u(-59) is divided by q.
29
Suppose 3*t + 2*g - 1331 = 0, -815*t + 817*t = 2*g + 864. Calculate the remainder when 1242 is divided by t.
364
Let t = 53 + -25. Suppose 4234 + 1911 + 14590 = 65*m. What is the remainder when m is divided by t?
11
Suppose -m + 35 = 2*n, 0 = -5*m - 2*n + 5*n + 123. What is the remainder when 47 is divided by m?
20
Calculate the remainder when (96/(-30))/((-2)/20) is divided by (2 - 6/(-60)*-35)/(12/(-40)).
2
Let g = 48 - 52. Let u(n) = 2*n**3 + 7*n**2 - 4*n + 2. Let z be u(g). Suppose 31 = z*c + 9. Calculate the remainder when 31 is divided by c.
9
Let j(w) = -2*w**2 + 12*w + 11. Let q be j(6). Suppose 5*u = q*u - 1656. Calculate the remainder when u is divided by 72.
60
Suppose 2*q = 5*o + 24, 0*o + 5*o = 4*q - 28. Suppose 2*x - 2*c - 24 = 0, q*x - 22 = 3*c - 2*c. What is the remainder when 17 is divided by x?
7
Let o be (-2)/(51/(-45) + 1). Suppose -19*v = -o*v - 76. Let q = 114 - 64. Calculate the remainder when q is divided by v.
12
Let l = 522 - 68. Let x = -369 + l. Calculate the remainder when x is divided by 19