Calculate the remainder when r is divided by 17.
14
Let s be (-2)/8*-1 - 75/12. What is the remainder when 360/16 + (-3)/s is divided by (-19 - -1)*4/(-6)?
11
Suppose 31 + 186 = 7*k. Calculate the remainder when 32 is divided by k.
1
Let c(g) be the second derivative of g**4/12 + g**3/6 - g**2/2 - g. Let q = 124 - 108. What is the remainder when c(5) is divided by q?
13
Let r(f) = -f**3 + 13*f**2 - 13*f + 2. Let s be r(11). Suppose l - s = 3. What is the remainder when l is divided by 27?
23
Let z = 103 - -37. Let i = 264 - z. What is the remainder when i is divided by (-6 - (16 - 32))*15/6?
24
Let o(q) = -q**3 + 8*q**2 + 10*q - 9. Let f be o(9). Suppose f = -2*x - 94 + 14. Let b = -21 - x. What is the remainder when 55 is divided by b?
17
Let d(g) = g**2 + 11*g + 44. Calculate the remainder when 110 is divided by d(-6).
12
Suppose -8*k + 11*k - 483 = 0. Let y = -13 - -54. Calculate the remainder when k is divided by y.
38
Let l(g) = 20*g + 114. Calculate the remainder when l(0) is divided by 20.
14
Suppose 0 = -5*r + 4*w + 190, 23 + 2 = -5*w. Calculate the remainder when 74 is divided by r.
6
Let r(d) = -d**2 - 19*d - 9. Calculate the remainder when 38 is divided by r(-17).
13
Let y(t) = -t + 24. Calculate the remainder when y(7) is divided by 9.
8
Let m = -2609 - -2745. Calculate the remainder when m is divided by 49.
38
Let f = -774 + 1394. Calculate the remainder when f is divided by 12.
8
Suppose z + 2561 = 4*m, 2*m - z - 659 = 624. Calculate the remainder when m is divided by 209.
12
Suppose -q + 5*o - 34 = 0, 0*q + 4*q + 5*o + 36 = 0. Let j = 14 + q. Let u(y) = y**3 + y**2 + 13. What is the remainder when 50 is divided by u(j)?
11
Suppose m - 18 = 9. Calculate the remainder when 105 is divided by m.
24
Suppose 2*h = c - 1, -5*h + 15 + 5 = 2*c. Suppose -2*w + 2*d + 23 - 5 = 0, d = c*w - 49. Suppose 8 + w = 3*r. What is the remainder when 9 is divided by r?
3
Let h = 161 - 16. Calculate the remainder when h is divided by 39.
28
Suppose 5*h = 4*f + 4, -3*h + 2*f + 3 = 1. Suppose -5*q = -h*q - 85. What is the remainder when q is divided by 4?
1
Suppose -798 = -6*l - 102. Calculate the remainder when l is divided by 35.
11
Suppose -7*s + 2*s = 0. Suppose -16 = -s*m - 2*m. Suppose -m - 8 = 4*u, 2*i = 5*u + 30. What is the remainder when 17 is divided by i?
2
Let k = -220 + 244. Calculate the remainder when 111 is divided by k.
15
Suppose -22*c + 59 - 15 = 0. Let m(u) = u**2 + 2*u - 2. What is the remainder when m(2) is divided by c?
0
Suppose -4*r - 3*x + 155 = -4*x, -4*x = -20. Suppose -l - 3*b + 0*b = -r, 2*b - 44 = -l. What is the remainder when 205 is divided by l?
49
Let u(q) = -245*q**3 - 17*q**2 - 18*q - 2. What is the remainder when u(-1) is divided by 62?
58
Suppose 0 = -m + 4 - 0. Suppose -116 = -8*q - m. Calculate the remainder when 69 is divided by q.
13
Let p = 473 + -424. What is the remainder when 89 is divided by p?
40
Let g(a) = 9 + a + 4*a - 1. Let z(p) = -2*p**2 + 15*p - 14. Let l be z(6). What is the remainder when g(l) is divided by 10?
8
Let r(v) = v**2 + 4*v - 12. Let f be r(-6). Calculate the remainder when 52 is divided by 6*(-3)/6 - (-9 - f).
4
Let h(s) = 43*s + 99. Calculate the remainder when h(-2) is divided by 2.
1
Let y = 2 + 1. Suppose 0 = -5*b + y*b + 34. What is the remainder when 61 - 57 - (0 + -29) is divided by b?
16
Let y = 4224 - 2601. Calculate the remainder when y is divided by 8.
7
What is the remainder when 405 is divided by 512/192*(-21)/(-4)?
13
Suppose -y + 98 = 2*r - 6*y, 4*r - 240 = -y. Calculate the remainder when r is divided by (-3)/15 + 122/10.
11
Suppose 382 = 25*b - 943. Let c = 93 - -63. Calculate the remainder when c is divided by b.
50
What is the remainder when (-33 - -21)*(-22)/4 is divided by 22?
0
Let m be (-4 + (-42)/(-12))/((-2)/(-1024)). Calculate the remainder when m/(-16) + 0/1 + 2 is divided by 4.
2
Let b be (-1)/((-5)/(-155) - 0). Calculate the remainder when 58 is divided by b/2*28/(-14).
27
Suppose -2*p = -p - 14. Let m(d) = d**3 - 13*d**2 - 12*d - 16. Calculate the remainder when 66/15*(-15)/(-3) is divided by m(p).
10
Suppose 9 = 3*a, 111 + 29 = 4*t + 4*a. Let j(z) = 84*z**2 - 5*z + 15. Let h be j(3). Suppose 16*g + h = 22*g. Calculate the remainder when g is divided by t.
30
Let x = -298 + 358. What is the remainder when 125 is divided by x?
5
Let u = -74 - -36. Let n = u + 45. What is the remainder when n is divided by 5?
2
Let b(n) = 6*n + 3. Let k be b(-7). Let h = k + 148. What is the remainder when h is divided by 16?
13
Suppose -2*i + 2*p + 12 = 0, 4*p = -i - 4*i + 21. Let k(o) = 2*o**2 - 5*o + 1. Calculate the remainder when k(i) is divided by 14.
12
Let w = 10 - 4. Suppose -82 = -4*d - w. Calculate the remainder when 92 is divided by d.
16
Let d = -97 + 96. Calculate the remainder when 68 is divided by ((-57)/d)/(63/42).
30
Let z = -45 + 83. What is the remainder when z is divided by (1/(-2))/(-2 - (-459)/234)?
12
Let g(p) = 10 - p**2 + 3*p**2 + 7*p**2 - p**3 + 21*p - p**2. Calculate the remainder when 72 is divided by g(10).
12
Let q be 14*((-15)/10)/(-3). Let y = -5 - -8. Suppose 0 = y*g - 11 - q. What is the remainder when g is divided by 3?
0
Let t(j) be the second derivative of j**3/3 - 3*j**2/2 - j. Suppose -2*g - 4*g + 252 = 0. Calculate the remainder when g is divided by t(7).
9
Let q = 2909 + -2849. Calculate the remainder when 176 is divided by q.
56
Let a be 1 + 2 + -2 - (-20 - -18). Suppose -a*d = -6*d + 60. Suppose -5*c + 0*c + 55 = 0. What is the remainder when d is divided by c?
9
Let j = -43 - -62. Let i = j + -21. Let b(f) = -21*f + 1. What is the remainder when b(i) is divided by 9?
7
Let c(f) = -f**3 - 3*f**2 - f + 7. Let u(l) = -l**2 - 3*l + 6. Let v be u(-5). Let d = 45 + 33. What is the remainder when d is divided by c(v)?
24
What is the remainder when 92 is divided by ((-144)/14)/((-9)/42) + -5?
6
Suppose -4*y = 13 + 11. Let d be 1/(-10)*y*5. What is the remainder when 37 is divided by 1 + -6*(d + -6)?
18
Let p(b) = 3*b + 2*b - 2134 + 2139. Calculate the remainder when 89 is divided by p(1).
9
What is the remainder when (446/(2 - 1))/6*6 is divided by 23?
9
Suppose p = -5 + 42. Suppose -f = -2*u + 139, -414 = -5*u - 5*f - 29. Calculate the remainder when u is divided by p.
35
Let n(o) = -67*o - 36 + 136*o - 62*o. What is the remainder when n(17) is divided by 22?
17
What is the remainder when (-9 - 0 - -1)/((-60)/3030) is divided by 15?
14
Let j = -774 + 818. What is the remainder when 1492 is divided by j?
40
Let x(z) be the third derivative of -z**5/60 - 5*z**4/12 + 2*z**3/3 - 5*z**2. Let y = -2 - -18. What is the remainder when x(-5) is divided by y?
13
Suppose 2*c + d + 9 + 6 = 0, -3*d - 3 = 0. Let l = -749 + 705. Let w = c - l. Calculate the remainder when w is divided by 19.
18
Let r be 0/(-3) + 0/3. Suppose 28 = 4*q - r*q. Calculate the remainder when 25 is divided by q.
4
Let p be 12/18 + (-2)/(-6). Suppose 0 = 4*h - p - 3. Calculate the remainder when 42 is divided by ((-3)/1)/(h/(-5)).
12
Suppose 3*u = 6*i - i + 582, 4*u - 4*i - 784 = 0. Let c = u + -191. Calculate the remainder when 4/14 - (-304)/14 is divided by c.
6
Calculate the remainder when (-30)/55 - 7856/(-44) is divided by 90.
88
What is the remainder when 12/(-32) - (-20007)/104 is divided by 96?
0
Suppose 2*x = 5*z - 685, -30*x = 3*z - 31*x - 411. Suppose 4*s + t - 83 = -2*t, -3*s + 2*t = -75. Calculate the remainder when z is divided by s.
22
Let t = 44 + -49. Let y(i) = 19. Let d(q) = q - 77. Let p(o) = 2*d(o) + 9*y(o). What is the remainder when 12 is divided by p(t)?
5
Let d(z) = -2*z**3 - 4*z**2 + 6*z + 2. What is the remainder when 629 is divided by d(-4)?
41
Let u(l) = l + 109. Let d be u(0). Let s = -219 + d. Calculate the remainder when 37 is divided by s/(-77)*(0 - -14).
17
Suppose -56*u = -52*u - 236. What is the remainder when 116 is divided by u?
57
Suppose 5*o + 45 = 40. Calculate the remainder when (2 - -1)/(1/(-16)*o) is divided by 7.
6
Let t(f) = f**3 - 13*f**2 + 10*f + 14. Let y be t(12). Let q = -7 - y. Suppose q*z - 16 = -z. What is the remainder when z is divided by 3?
1
Let a = 240 - 217. Calculate the remainder when 134 is divided by a.
19
Let b = -5 + 11. Let w(u) = -u**2 - 8*u - 3. Let l be w(-8). Calculate the remainder when 19 + l - 1/1 