 remainder when i(11) is divided by 21.
13
Suppose 2*m - 2 = c - 4, -18 = 2*m - 5*c. Let s = -34 - -36. Calculate the remainder when s is divided by m.
0
Suppose -o = -2*q + 3 - 0, o - 21 = -4*q. Suppose 4*m = 4*n - 24, -2*n + 21 = -q*m - 1. Calculate the remainder when (m + 8 - 4)*-14 is divided by 2.
0
Let t(x) = 51*x**2 + 5*x + 5. Let h(w) = w**2 + 9*w + 19. Calculate the remainder when t(-1) is divided by h(-8).
7
Suppose 0 = 5*d - 4*u + 2*u - 395, 5*u + 218 = 3*d. Let g = 16847 + -16819. Calculate the remainder when d is divided by g.
25
Suppose -4*i - 1 + 21 = 0. Let c(y) = -46*y + 38. Let b be c(-6). Let l = -309 + b. What is the remainder when l is divided by i?
0
Suppose 197*p + 20887 - 209613 = 0. What is the remainder when p is divided by 6?
4
Calculate the remainder when (-645544)/(-456) - 5/3 is divided by 118.
116
What is the remainder when (1 - 3243/(-3))*1/2 is divided by 16?
13
Let f be ((-4)/6)/(-6 + 550/90). Let i(o) = 3*o + 6. What is the remainder when i(6) is divided by (-690)/(-54) - f/27?
11
Suppose 5*k = -153 - 17. Let o = k + 40. Calculate the remainder when 13 is divided by o*(-12)/27*1*-3.
5
Let p(s) = 95*s + 92*s - 8 - 211*s. Calculate the remainder when p(-6) is divided by 46.
44
Let l(a) = a**2 + 88*a + 945. Calculate the remainder when 54 is divided by l(-12).
21
Let q = -1808 - -1929. Let c(x) = -8*x - 6. Calculate the remainder when q is divided by c(-3).
13
Let k(q) = -q**2 - 25*q + 2. Let x be k(-25). Suppose n - 161 = -w, n + 217 + 99 = x*w. What is the remainder when w is divided by 27?
24
Calculate the remainder when 8249 is divided by 143 + (-35)/(-30)*6.
149
Let d be ((-8430)/45)/((-4)/(-6)). Let n = d + 301. What is the remainder when 38 is divided by n?
18
Let s(o) = -40*o + 1220. Let l = 91 - 32. Calculate the remainder when l is divided by s(30).
19
Let h = -2 + -7. Let l(o) = 138*o - 1074. What is the remainder when 2/h + 2530/45 is divided by l(8)?
26
Let k(b) be the third derivative of b**4/24 + 185*b**3/6 - 24*b**2. Calculate the remainder when k(0) is divided by 17.
15
Suppose 0 = -138*p - 204*p + 3762. What is the remainder when 5210 is divided by p?
7
Suppose -5*m = a - 37, 321*m = 3*a + 318*m - 183. Calculate the remainder when 681 is divided by a.
54
Let o = 139 - 97. What is the remainder when (-2)/(-10) + 19/(4085/17802) is divided by o?
41
Let k(u) = u**2 + 13*u + 18. Let t be k(-12). Let q(b) = 13*b + 8 - 26*b + 25*b + t*b. Calculate the remainder when q(2) is divided by 16.
12
Let b(q) = 2*q - 1. Let y be b(2). Let m(s) = 6*s + 0*s - y*s + 7. Calculate the remainder when 74 is divided by m(4).
17
Suppose -18*v + 7*v + 3542 = 0. Suppose 24*b + v = 38*b. What is the remainder when 90 is divided by b?
21
What is the remainder when (-2580)/(-15) + 3/((-9)/(-15)) is divided by 57?
6
Let h = 22654 + -22483. What is the remainder when h is divided by 154?
17
Calculate the remainder when 8071 is divided by (-17 - (15 + -33)) + 16.
13
Let r(t) = -t**2 + 39*t - 19. Suppose -2*d + 119 = 4*a - 33, 3*d - 190 = -5*a. Calculate the remainder when 71 is divided by r(a).
14
Suppose -124*a + 1200 = -109*a. Calculate the remainder when a is divided by 12 + 28 + (-2 + 0 - -3).
39
Suppose 1671 = -2*y + 1753. Calculate the remainder when 81 is divided by y.
40
Suppose a + 4*a = 45. Suppose 4*j = -d + 24, 66 = -a*d + 11*d - j. What is the remainder when d is divided by 24?
8
Suppose -5*q + 3*d + 875 = -199, -q + 201 = 4*d. What is the remainder when q is divided by 106?
1
Let b = -772 - -746. What is the remainder when 4/b + 28500/195 is divided by 18?
2
Suppose 224 = 5*n - 251. Suppose n = 3*h + 4*y, -5*h + y = 4*y - 151. Calculate the remainder when 83 is divided by h.
25
Let c(o) = 2*o + 19*o + 0*o**3 + 3*o**3 - 18*o**2 - 2*o**3 - 39. Let t be c(17). Suppose -t = x - 60. What is the remainder when x is divided by 17?
14
Let j(v) = v**3 + 9*v**2 + v + 13. Let s be j(-9). Suppose -14 = 3*o + s. What is the remainder when (o/4)/((-9)/174 - 0) is divided by 15?
14
Let v(m) = 2658*m**3 - 2*m**2 + 8 - 2660*m**3 + 4*m + 2*m - 2*m. Let l(r) = -r**3 - 7*r**2 - 7*r - 3. What is the remainder when v(0) is divided by l(-6)?
2
Let k = -169821 + 169828. What is the remainder when 0/(-2) + 1 + 192 is divided by k?
4
Let g = -923 + 948. Calculate the remainder when 1449 is divided by g.
24
Suppose 92*t = 93*t - 71. Suppose 73*y - t*y = 44. Calculate the remainder when 83 is divided by y.
17
Let k = -61 - -183. Suppose -26 = -2*r + k. What is the remainder when r is divided by 38?
36
What is the remainder when 312 is divided by (4 + -7)*(79/(-2))/(9/6)?
75
Suppose 2*v - 6*v = r - 22, -3*r + 126 = -3*v. Let i = -145 - -145. Suppose -3*f + 6*f - 39 = i. What is the remainder when r is divided by f?
12
Let t(m) = 2*m**3 - 10*m**2 + 7*m + 13. Let p(u) = -u**3 + 6*u**2 + 23*u + 14. Calculate the remainder when p(8) is divided by t(5).
22
Let n be 13/3 - 4/(-6). Suppose n*t = -5*b + 20, t + 3*b = -3*t + 18. Let x(i) = 48*i - 559. What is the remainder when x(12) is divided by t?
5
Let p(i) = 3*i + 75. Let y be p(-25). Suppose 9*g - 15*g + 534 = y. What is the remainder when g is divided by 25?
14
Let z(g) = g**3 + 3*g**2 - 259*g + 1020. Calculate the remainder when 3359 is divided by z(4).
95
Let a = -922 + 902. Let j(m) = 3*m**2 + 60*m + 15. What is the remainder when j(a) is divided by 6?
3
Let l(j) = -7*j**2 - 9*j. Calculate the remainder when 335 is divided by l(-1).
1
Calculate the remainder when (-1 - 3) + (-23 - (-5 + -116)) is divided by 6.
4
Let d(l) be the third derivative of -l**6/60 + 19*l**5/30 - 17*l**4/12 - 3*l**3/2 + 86*l**2. What is the remainder when 80 is divided by d(18)?
26
Suppose 34*a - 6930 = -11*a. What is the remainder when 599 is divided by a?
137
Suppose 15*v + 28 = 19*v. Calculate the remainder when 47 is divided by v*4/182 - (-154)/13.
11
Suppose 0 = -94*t + 99*t - 580. Let l = 1337 - 1319. What is the remainder when t is divided by l?
8
Calculate the remainder when (-71)/497 + (-14346)/(-21) is divided by 101.
77
Let u(n) = -n**2 + 52*n - 85. Let f be u(21). Let c = -551 + f. Calculate the remainder when 41 is divided by c.
11
Suppose -12*j - 24*j + 1116 = 0. Calculate the remainder when 1014/12 - -1*9/(-6) is divided by j.
21
Suppose 5*u - 3363 - 5577 = 0. Let j = u - 3219. Calculate the remainder when (4/6)/(1425/j - -1) is divided by 23.
21
Let a(n) = 2*n**2 - 5*n - 5. Let s(b) = -4*b**2 - 147*b + 49. What is the remainder when a(5) is divided by s(-37)?
8
Let r(o) = -511*o - 13782. Suppose 0*i + 4*i - 22 = -2*l, -2*l = -5*i - 4. Suppose 0*y = -y + l. What is the remainder when r(-27) is divided by y?
1
Suppose 141*a - 4032 = 71*a + 62*a. Calculate the remainder when a is divided by 38.
10
Suppose -5*n - 29 = -a, -11 + 1 = -5*n. Let l(m) = -4. Let d(h) = -h + 13. Let f(r) = -3*d(r) - 8*l(r). Calculate the remainder when a is divided by f(7).
11
Let i(a) = 111*a**3 + 2*a - 4. Let z be i(2). Suppose 0*c = 4*c - z. Suppose -4*t = -t - c. What is the remainder when t is divided by 16?
10
Suppose -5*s - 2*j = -125, 9*s - j = 13*s - 103. Suppose -3*h = -2*h + 5*t - s, -5*t + 3 = -h. What is the remainder when 34 is divided by h?
10
Let x = 2835 - 2813. Calculate the remainder when 95 is divided by x.
7
Suppose -1692 = -5*q + y, 2*q - 3*y - 554 - 128 = 0. Let c = -81 - -112. What is the remainder when q is divided by c?
28
What is the remainder when 364/(((-10)/(-25))/(-2*(-10)/4)) is divided by 68?
62
Suppose -56 = -2*h + 4*r, -5*r + 153 - 83 = h. Calculate the remainder when 262 is divided by h.
22
Let g(x) = -2*x + 4*x + 5 - x. Calculate the remainder when 6 is divided by g(1).
0
Suppose 7*l - 54 = -12. Let g(k) = l*k**2 + 5*k**2 + 3*k**2 + k + 0*k**2. What is the remainder when 48 is divided by g(-1)?
9
Suppose 2 = 2*i + 2*q, -2*i - 95 + 77 = -2*q. Calculate the remainder when -1 + 0 + i + 6 + 10 is divided by -2*((-30)/(-4))/(-3).
1
Let n(c) be the second derivative of -c**4 - 27*c**3/2 + c**2 + c - 3. Calculate the remainder when 388 is divided by n(-6).
52
Suppose -k = -4*o - 27, -3*k - 2*k + 4*o = -199. What is the remainder when (0 - (k - -3))*-2 is divided by 112*(232/28 + -8)?
28
Let u = 0 + 18. Let v be (-1)/((-6)/34) - 12/u. Suppose -54 = v*r - 14*r. Calculate the remainder when 29 i