
17
Let x = -2 + 8. Suppose -l + 3*l + 4 = -g, 3*l = -x. Calculate the remainder when g + 0 - 28/(-2) is divided by 8.
6
Suppose 240 = 3*j + j. What is the remainder when 40 is divided by j/(8/2) - 2/2?
12
Let v(n) = 18*n**2 + 14*n + 8. Let o(p) = 2*p**2 - 4*p + 3. Calculate the remainder when v(-2) is divided by o(4).
14
Suppose -6*p = -4*p - 1590. Calculate the remainder when (p/10)/((-9)/(-12)) is divided by 36.
34
Let y(j) = -j - 15. Let f be y(-10). Suppose -m = 3*m - 92. Let p = f + m. Calculate the remainder when 35 is divided by p.
17
Let k(x) be the second derivative of x**5/20 - 3*x**4/4 - 3*x**3/2 + 9*x**2/2 + 6*x. Calculate the remainder when 37 is divided by k(10).
18
Let t(y) = y**2 + 4*y + 4. Let k be t(-3). Let l(r) = 5 - 3 + k + 5*r. What is the remainder when l(3) is divided by 5?
3
Let f(t) = 3*t**2 - 2*t - 7. Let r be f(3). Suppose 0 = -2*a + r + 54. Suppose -4*z + 36 = -z. What is the remainder when a is divided by z?
10
Let o(s) = -s**3 - 8*s**2 - 13*s + 2. Let z be o(-6). Suppose z*a - a = 238. What is the remainder when a is divided by 19?
15
Let i = 410 - 383. What is the remainder when i is divided by (-6)/(15/24 + -1)?
11
Suppose 0 = -4*m - 4, 30 = -f + 5*m + 80. Calculate the remainder when 1796 is divided by f.
41
Let v = -460 + 560. Calculate the remainder when v is divided by 90.
10
Let j = -29 - -99. Let m = j - 37. What is the remainder when m is divided by (-16)/(-3)*(-234)/(-104)?
9
Let j(k) = 67*k**2 + 5*k + 2. Let z be j(-1). Suppose z = 3*h + c, 0*c = -h + c + 20. Calculate the remainder when 53 is divided by h.
11
Let u(i) = -i**2 - 17*i + 115. Let j(z) = -5*z - 4. Calculate the remainder when j(-3) is divided by u(-22).
1
Calculate the remainder when 146 is divided by 370/(-8)*192/(-120).
72
Let z(b) = -b**2 + 11*b + 28. Let q be z(13). Suppose 3*i - 56 = -q*g + g, 0 = -5*i - 4*g + 105. What is the remainder when i is divided by 6?
5
Let j(a) = -3*a + 86. Calculate the remainder when 47 is divided by j(23).
13
Suppose -1415 = 3*k - 8*k. Suppose -4*m + 2*g = -334, 3*m = -0*m - 5*g + k. What is the remainder when m is divided by 25?
11
Let o(k) = -k + 10. Suppose -4*u - 32 = -0*u - 2*z, 3*u - 4*z = -34. Calculate the remainder when 26 is divided by o(u).
10
Let k(l) = l**3 - 5*l**2 - 111*l + 13. What is the remainder when k(14) is divided by 100?
23
Suppose 0 = 2*w + c - 24, -4*w + 84 = -0*w - 7*c. What is the remainder when 50 is divided by w?
8
Suppose 4*t = 2*a + 3*a + 77, -2*a - 92 = -5*t. Suppose 23*c - t*c - 125 = 0. Calculate the remainder when c is divided by 13.
12
Let m(v) = -v**3 - 6*v**2 - 6*v - 3. Let s = -4 - 1. Let z be m(s). Let q(k) = 3*k**3 - 2*k**2 + 1. What is the remainder when q(z) is divided by 5?
2
What is the remainder when 330 is divided by 2/((0 + 5)*50/1125)?
6
Let v(c) = c**3 - 12*c + 12. Calculate the remainder when 188 is divided by v(4).
20
Let s = 12 - 10. Let g be 3 - 0 - (s + 1). What is the remainder when 4 is divided by 2 + -1 - g - -2?
1
Calculate the remainder when 86 is divided by (93/(-15) + -1)/((-14)/35).
14
Let b be (0/2)/(5 + -6). Let i = 16 - b. Suppose 2*q - 2*o - 36 = 0, -2*q + o - i = -3*q. Calculate the remainder when q is divided by 10.
7
Calculate the remainder when (-149151)/(-581) - (-4)/14 is divided by 75.
32
Let u = 658 - 409. Let c = u - 88. Calculate the remainder when c is divided by 41.
38
Suppose 3*v - 4*h = -9*h + 16, 0 = -4*v - 4*h + 16. Suppose 4*f - 8 = -0*f. What is the remainder when (-3)/1*v/(-3) is divided by f?
0
Let t = 47 - 30. Suppose -25 = -5*r, -2*r - t = -g + 33. Suppose -l = 4*i - 89, -2*l = -54*i + 55*i - 31. What is the remainder when g is divided by i?
18
Suppose 495 = 14*y + y. Let x be 6/(-27) + (-382)/(-18). Let s = x + -3. What is the remainder when y is divided by s?
15
Let g be (-4)/(2/2*4/(-4)). What is the remainder when g + (-3)/(-6) + 388/8 is divided by 7?
4
Let j(v) = 4*v + 18. What is the remainder when 189 is divided by j(5)?
37
Suppose 0 = -46*k + 50*k + 3*d - 161, 0 = -5*k + 5*d + 245. What is the remainder when 132 is divided by k?
0
Let q(h) = -2*h**2 + 23*h - 27. Calculate the remainder when 133 is divided by q(9).
7
Let o = 166 + -100. Calculate the remainder when 258 is divided by o.
60
Suppose -25*t = -84*t + 118. Calculate the remainder when 39 is divided by t.
1
Suppose -20*l + 329 = -251. Calculate the remainder when 88 is divided by l.
1
Suppose -82*a + 62*a + 2880 = 0. Calculate the remainder when a is divided by 20.
4
What is the remainder when (36 + -40)/((1/6)/(-1)) is divided by 8?
0
Suppose 0 = -4*t - 18 + 106. Let o be (-2)/(-2*3/(-33)). Calculate the remainder when t is divided by (-7)/(-14) - o/2.
4
Let y(g) be the third derivative of -1/2*g**4 + 0*g**3 + 0*g - 1/60*g**5 - g**2 + 0. Calculate the remainder when y(-10) is divided by 8.
4
Suppose 3*o - 5*z + 1 = -0, 5*z - 19 = -3*o. Suppose -o*r - 7 = j + 64, 0 = 5*j - 20. Let n = r - -40. What is the remainder when n is divided by 9?
6
Let b = -38 - -53. Let s = 62 - 40. What is the remainder when s is divided by b?
7
Let n = 91 + -48. Calculate the remainder when 137 is divided by n.
8
Suppose -4 = 3*r - 43. Calculate the remainder when 1519 is divided by r.
11
Let b(w) = w**3 - 8*w**2 + 7*w + 2. Let t be b(7). Suppose 3*p + 21 = 3*u, -3 = -t*u + 3*p + 6. What is the remainder when 69 is divided by u?
9
Suppose y - 5 = -3*d, -5*y = -d - 2 + 25. Suppose 0 = -5*u + l + d*l + 238, 4*l = 2*u - 100. What is the remainder when 86 is divided by u?
40
Let b = 248 - 226. What is the remainder when 126 is divided by b?
16
Let v(d) = d - 19. Let k be v(20). What is the remainder when (26/k)/(12/18) is divided by 22?
17
Let t(g) = g**2 + 6*g + 7. Suppose -274 - 441 = -11*n. What is the remainder when n is divided by t(-7)?
9
Let x = 253 - 179. Calculate the remainder when x is divided by 19.
17
Let c = 217 + -203. Let l be 2/(-2*2)*16. Let j = l + 12. Calculate the remainder when c is divided by j.
2
Let b(w) be the first derivative of w**3/3 - 7*w**2/2 - 5*w + 9. Let j = 22 + -13. Calculate the remainder when 49 is divided by b(j).
10
Let m(t) = -642*t + 651. What is the remainder when 1 + 0 + (-1 - -52) is divided by m(1)?
7
Suppose -54 = -4*m + 6. Let i = m - 18. Calculate the remainder when 53 is divided by -11*2*i/6.
9
Suppose 78 = 67*t - 61*t. Calculate the remainder when 49 is divided by t.
10
Let o(d) = 3*d**2 + 2*d + 1. Let i = 40 + -42. Calculate the remainder when 25 is divided by o(i).
7
Suppose -2*x + 137 = 3*a, x = -5*a + 12 + 207. Let s = 19 + -10. What is the remainder when a is divided by s?
7
Suppose 3 = -4*r - 1, 0 = -4*t + r - 283. What is the remainder when (-3)/(-6)*-2*4 - t is divided by 17?
16
Let t be (3 - 1)/((-1)/(-2)). Let l = t - 18. Let h = l + 27. Calculate the remainder when 51 is divided by h.
12
Let l(h) = -3*h + h**2 + 0*h**2 + h - 12. What is the remainder when l(-6) is divided by (-8 - 3)*-1 + 2?
10
Let y = -232 - -450. What is the remainder when y is divided by 113?
105
Let q(k) = -16*k - 39. What is the remainder when 123 is divided by q(-3)?
6
Calculate the remainder when 85 is divided by (1 + -9)/(-2) + 45 + -26.
16
Let h(o) = -o**3 - 8*o**2 + 17*o + 129. What is the remainder when h(-9) is divided by 24?
9
Let k(v) = 3*v + 15. Suppose -14 = -4*c + 2*b, 0 = b - 3*b + 2. Suppose -i = -3*u + 22, 0*u - c*i = -u. Calculate the remainder when k(u) is divided by 10.
9
Let i = 903 + -811. What is the remainder when 354 is divided by i?
78
Let w(j) = j - 3. Let c be w(5). Let i(q) = -2*q**2 - 6*q**3 - 12*q + 15*q**3 + 16*q - 3. What is the remainder when i(c) is divided by 12?
9
Let v(s) = -2*s + 19. Let d(i) = -i + 1. Let z(n) = -n + 1. Let t(c) = -3*d(c) + z(c). Let y be t(1). What is the remainder when 55 is divided by v(y)?
17
Let z be ((-6)/10)/(2/10). Let a = z + 50. What is the remainder when a is divided by 4/(-4)*24/(-1)?
23
Let u be (-1431)/6*(-6)/(-9). Let i = u - -186. Suppose 0 = -0*j - j + 14. What is the remainder when i is divided by j?
13
Let l = 1468 - 1345. What is the remainder when 129 is divided by l?
6
Let d(b) = -b**2 - 249. Let c be d(0). Let w = c - -416. Calculate the remainder when w is divided by 21.
20
Suppose 3*s - 15 = 0, 0 = -3*x + 5*x + 2*s - 18. Suppose 5*i - 2*u - 137 = -16, -x*i =