 12 - -6. What is the remainder when k is divided by a?
15
Let j(q) = -3*q**3 - 3*q**2 + 2*q + 4. Let i be j(-2). Suppose i*k - 6*k - 30 = 0. Suppose 0 = -k*r + 698 - 68. Calculate the remainder when r is divided by 32.
30
Let b(g) = 4*g**2 + 2*g**3 + 22*g**2 + 30*g - 38 + 10*g**2. What is the remainder when 58 is divided by b(-17)?
28
Let j = 50 + -68. Let b be (j/(-9))/((-2)/(-7)). Suppose a = 59 - b. What is the remainder when a is divided by 18?
16
Let c(w) be the third derivative of w**5/60 - w**4/12 + 2*w**3/3 - 46*w**2 + 1. What is the remainder when 4 is divided by c(0)?
0
Let h be 2 - (6 - 5) - -3. Suppose 2*c - h*y = 58, -3*c + 5*y + 32 + 54 = 0. What is the remainder when c is divided by 23?
4
Let a = 293 + -218. Suppose 2*s - 4 = -z + 1, 0 = 5*z + 2*s - 25. Suppose 6*y - z*y = 21. Calculate the remainder when a is divided by y.
12
Let r be ((-6 - -8)*2)/2. Suppose -n = n - 2*l - 152, r*n = 4*l + 142. Calculate the remainder when n is divided by 41.
40
Let y be (2 - (1 + -1)) + -4 - -4. Suppose o = -2*q + 7*q + 7, 0 = y*o + q - 3. Calculate the remainder when 57 is divided by o.
1
Let z(i) = 9*i**2 + 161*i - 129. Calculate the remainder when z(-19) is divided by 45.
16
Let u be 21/56*1 + 4070/(-16). Let j = -251 - u. Calculate the remainder when (-6)/6 + (-5)/(-1) is divided by j.
1
Suppose 0 = 2*y - 4, 13*v = 16*v + 5*y - 97. Let r be (36/21)/(4/(-42)). Calculate the remainder when v is divided by 48/r*27/(-12).
5
Let r = -76 + 151. Let n = 128 - r. Let q(y) = y**3 - 4*y**2 - 3*y - 1. Calculate the remainder when n is divided by q(5).
8
Let s(i) = 5*i**2 - 5*i + 2. Suppose -3*u - 28 = -10*u. Let r be s(u). Suppose r = 5*z - f, -4*f - 4 = -z - 3. What is the remainder when z is divided by 5?
3
Let w(c) = -c**3 + 30*c**2 + 20*c - 79. Calculate the remainder when w(21) is divided by 49.
47
Suppose -6*q + 9*q - 148 = -2*v, q = 2*v - 132. Suppose -3*d = -v - 79. What is the remainder when 292 is divided by d?
47
Suppose 0*m = -4*m + 40. Let y(c) = -137*c + 558. Calculate the remainder when y(3) is divided by m.
7
Let y(k) = -3*k**3 + 249*k**2 - 244*k - 133. Calculate the remainder when 13354 is divided by y(82).
24
Let q(b) = 2324*b**3 - b**2 - 79*b + 79. What is the remainder when q(1) is divided by 93?
91
Suppose -3*f + 3*k + 1494 = 0, 0 = 3*k - k + 6. Suppose -o = 10*o + f. What is the remainder when 51 is divided by (3 - o/(-10))/(2/(-12))?
6
Suppose -214 = -5*h - 19*t + 18*t, -h - 4*t + 39 = 0. What is the remainder when 89 is divided by h?
3
Let q(l) = l. Let b(m) = -9*m + 7. Let g(t) = -b(t) - 5*q(t). Let w be g(4). Calculate the remainder when 2*w/(-6)*1*-31 is divided by 19.
17
Let m(l) = -5*l**2 + 13*l - 9. Let f(x) = -x**2 + x. Let d(i) = 6*f(i) - m(i). Calculate the remainder when d(-8) is divided by -2 + 38/14 + 6/21.
0
Let n(d) = -2*d**2 + 8*d. Let b be n(4). Suppose b = -9*f + 13 + 14. Suppose 2*q - 275 = -f*q. What is the remainder when q is divided by 28?
27
Suppose u - 5*n - 27 = 0, 0 = -118*n + 121*n - 6. Calculate the remainder when 617 is divided by u.
25
Suppose 0 = -4*w - 5 - 7. Let t be (-5)/(-3)*w*-1. Suppose -5*f = -3*y - 73, t*f = -2*y + 39 + 54. What is the remainder when f is divided by 10?
7
Suppose 0 = -5*t + 7*t + 520. Let y = 279 + t. Let b = -262 + 449. What is the remainder when b is divided by y?
16
Suppose m + 3*k - 37 = 0, 429 = 8*m + 88*k - 83*k. Calculate the remainder when 865 is divided by m.
53
Let d(f) = 576*f - 1245. Calculate the remainder when d(6) is divided by 41.
38
Suppose -3*y = 2 + 7. Let c be -2 + (104 - y) - 0/1. Suppose 8*b = 13*b - c. Calculate the remainder when 103 is divided by b.
19
Suppose -127*k = -76*k - 1887. Suppose -6*b = -3*b + l - 41, 23 = b + 5*l. What is the remainder when k is divided by b?
11
Let o = -2808 - -4284. What is the remainder when o is divided by 95?
51
Suppose 4*d + 32 - 104 = 0. Let t be (d + 0)*(0 + 12/(-18)). Calculate the remainder when 22 is divided by (-9 - t)/(1/(-1) - -2).
1
Let u(p) = p**3 - 9*p**2 + 8*p - 3. Let o be u(6). Let i be (o/(-6) + 0)*(-16)/(-12). What is the remainder when 16 is divided by (-36)/(-21)*49/i?
4
Let y = 54 - 52. Suppose 5*v = -3*q - y, -v + q = -4 - 2. What is the remainder when (0 - -1)*(v - 1 - -28) is divided by 15?
14
Let x be (-7 + (-308)/(-35))*20/12. Suppose -4*t + 5*t - 146 = 0. Calculate the remainder when t/x - 2/(-6) is divided by 28.
21
Let z(q) = -8*q - 54. Let c be z(-7). Suppose c*y - 89 = -29. Let h = -7 + 24. What is the remainder when y is divided by h?
13
Let f(v) = -2*v**2 + 30*v - 3. Let t be f(14). Suppose 5*a - 30 = t. What is the remainder when 97 is divided by a?
9
Suppose 3*k = -3*o + 7179, 5*k - 4*o - 11024 = 950. What is the remainder when k is divided by 32?
26
Suppose 2*d + 104 = 5*y - 0*y, 3*d = -2*y + 53. Suppose -y*p + 678 + 4 = 0. What is the remainder when p is divided by (-20)/(-6)*(-18)/(-15)?
3
Suppose -13*d = -5*d - 3136. Suppose 8*n = 4*n + d. Let j = n + -81. What is the remainder when j is divided by 12?
5
Suppose -22284 = 17*l - 35*l. What is the remainder when l is divided by 113?
108
Let h(j) = -1185*j + 6180. Calculate the remainder when h(5) is divided by 12.
3
Suppose -1974 = -38*i + 17*i. Calculate the remainder when 323 is divided by i.
41
Suppose 37*h - 6820 = -12*h - 6*h. What is the remainder when 4460 is divided by h?
120
Let n be 15/((-105)/(-56))*1/(-2). Let b(v) = 7*v - 23. Let f be b(n). Calculate the remainder when 26 is divided by (30/(-25))/(1 - f/(-45)).
8
Let t(u) = 3*u**3 + 10*u**2 + 6*u - 75. Calculate the remainder when t(6) is divided by 18.
15
What is the remainder when (-7 - -11)/((-8)/(-1414)) is divided by 118?
117
Let s(r) = -129*r - 1. Let k(y) = 11*y**2 - 208*y + 7. What is the remainder when s(-2) is divided by k(19)?
23
Suppose -x + 2*p + 421 = 4*x, 264 = 3*x - 5*p. Calculate the remainder when (-1209)/(-7) - 4/(-14) is divided by x.
7
Let r(j) = j**3 + 133*j**2 - 402*j + 896. Calculate the remainder when 913 is divided by r(-136).
33
Let k = -67 + 80. Suppose -k*q + 1617 = -2*q. Calculate the remainder when q is divided by 25.
22
Let u(y) = y**3 - 11*y**2 + 35*y + 54. Let g be u(12). Let l = 631 - g. What is the remainder when 50 is divided by l?
11
Suppose -15*w = -69*w - 1188. Let d(h) = -h**3 - 20*h**2 + 39*h - 45. Calculate the remainder when d(w) is divided by 10.
5
Let g(b) = b**3 + 11*b**2 - 2 - 13*b + 2*b - 1 - 4. What is the remainder when g(-10) is divided by 17?
16
Let c = 29 - -6. Let v = -4322 - -4437. What is the remainder when v is divided by c?
10
Let k = -4290 + 5522. Calculate the remainder when k is divided by 6.
2
Let d(c) = 126*c - 1735. Suppose 10*p - 5*p - 255 = 0. Calculate the remainder when p is divided by d(14).
22
Let g(n) = 2*n - 35. Let k be g(15). Let y be -2 + (k/(-1) - -1). Let i = -1 + y. What is the remainder when i is divided by 2?
1
Let r = -10568 - -10632. Suppose -3*t = 5*a - 10 - 5, -t = 2*a - 5. What is the remainder when r is divided by t?
4
Suppose 6830 = 315*m - 100. Suppose -5 = -4*i + 4*c - 1, 5*c = -5. Calculate the remainder when i + 5/(5/84) is divided by m.
18
Suppose 4*l = -j + 1224, -j + 6*j = 0. Let f = 6247 - 6169. Calculate the remainder when l is divided by f.
72
Let a be ((-3)/(-4))/(12/96). What is the remainder when 146 is divided by 52*1 - a/(0 - -6)?
44
Let d(f) = f**3 + 5*f**2 + 4*f + 7. Let q be d(-5). Let h = q + 15. Suppose -3*x = -4*x + h. Calculate the remainder when 7 is divided by x.
1
Let b = 114 + 14. Suppose 2*x - 37 = 29. What is the remainder when b is divided by x?
29
Let i(c) = c**3 - c**2 - 2*c - 2. Let j be i(-1). What is the remainder when ((-246)/12 - j)*-2 is divided by 11?
4
Let v(p) = p**3 - 2*p**2 - 12*p - 13. Let k be v(5). Calculate the remainder when ((-160)/20)/((-2)/(k + 56)) is divided by 79.
74
Suppose 3*d = 10 + 47. Suppose 2*o - o + 5 = 0. What is the remainder when 57 is divided by 209/d - (o - -1)?
12
Let r = 301 - 208. Let q = r - 47. Let x(t) = -t**2 + 18*t + 33. What is the remainder when x(14) is divided by q?
43
Suppose 0 = -4*d - 4, -7*r + 2*r - 4*d - 34 = 0. Let w be r/3 - (0 + 0). Calculate the remainder when -2*(w + 4)/((-4)/15) is divided by 4.
3
Let p = 325 + -449. Let u be (3 - 6)/((-3)/(-2)). What is the remainder when ((-6)/(-12))/