ate the remainder when 2/(-9) - (-415)/45 is divided by 9.
0
Suppose 4*f = -5*p + 49 - 8, 0 = -3*p + 15. What is the remainder when 6 is divided by f?
2
Suppose -2*t + t = 0. Suppose 5*h - h - 92 = t. Suppose -2*z + 20 = -7*z, z = 5*p - 459. Calculate the remainder when p is divided by h.
22
Suppose -2*q = -5*q + 33. Let x = -18903 - -18934. What is the remainder when x is divided by q?
9
Let g = -40 + 44. Calculate the remainder when 99 is divided by g/10 + 1568/80.
19
Let d(l) = 22*l + 69. Let h be d(13). Suppose -h = -4*u - 39. Calculate the remainder when u is divided by 17.
11
Suppose -64*r - 123 + 300 + 335 = 0. Suppose 52 = 5*z - z. Calculate the remainder when z is divided by r.
5
Let r(n) = 9*n - 144. What is the remainder when r(20) is divided by 17?
2
Suppose 3*f + f = 228. Let u = 62 - 40. What is the remainder when f is divided by u?
13
Let a(c) = -2*c**3 - 2*c**2 + 4*c + 4. Suppose -4*n - 8 - 4 = 0. Calculate the remainder when 52 is divided by a(n).
24
Let l = -531 - -565. Calculate the remainder when -18*10*(-6)/8 is divided by l.
33
Suppose -164 = -12*n + 7*n + z, z = -3*n + 92. What is the remainder when n is divided by 11?
10
Let i(r) = 5*r**2 - 2*r - 1. Suppose 4*m - 15 = -7. Calculate the remainder when (-1)/(-1) + 12 - m is divided by i(-1).
5
Suppose 5*x - 714 = -239. Suppose -33*r = -29*r + 2*a - 74, -4*r + 5*a + 39 = 0. What is the remainder when x is divided by r?
15
Suppose -183*a + 690 = -178*a. What is the remainder when a is divided by 47?
44
Let c be (48/(-20))/((-1)/(-10)). Let z be (-176)/c - 1/3. Suppose 0 = -z*j + 2*j + 55. Calculate the remainder when 43 is divided by j.
10
Let r be (3 - 10) + -2*(-6)/(-4). Calculate the remainder when (16 + -55)*r/6 is divided by 17.
14
Calculate the remainder when -1*11/(55/(-1295)) is divided by 24.
19
Let t = 78 - 25. What is the remainder when t is divided by (27/(-4))/((-6)/16)?
17
Let p(k) = k**2 - 6*k + 27. Calculate the remainder when p(-19) is divided by 9.
7
Let f(x) = 6*x**2 - 50*x - 5. Calculate the remainder when 433 is divided by f(9).
30
Suppose -p + 7*p - 1152 = 0. What is the remainder when p is divided by 49?
45
Suppose -97*k - 120 = -117*k. What is the remainder when 22 is divided by k?
4
Suppose 0 = -11*i + 8*i + 27. Suppose 5*x - 261 = -2*s, s = -x - x + 128. Let g = s + -84. Calculate the remainder when g is divided by i.
7
Let g(k) = -148*k - 29. Calculate the remainder when g(-1) is divided by 20.
19
Suppose s - 2 = -8. Let h(p) = -2*p**2 + 15*p - 17. What is the remainder when 42/(2/s*-3) is divided by h(4)?
9
Let q = -5 - -6. Let j = 2 - q. What is the remainder when -10*(-2)/4*j is divided by 3?
2
Suppose 3*f - 68 = f. Suppose -3*z + 20 = -3*u - f, -2*u = 0. Calculate the remainder when 70 is divided by z.
16
Let s be 1/(-1) + -3 - -6. Suppose s*v - 18 = -v. Calculate the remainder when ((-2)/3)/(4/(-102)) is divided by v.
5
Let c(n) = -5*n - 1. Suppose -k + 50 = k. What is the remainder when k is divided by c(-3)?
11
Let j be (-430)/(-50) + 3/(-5). Let c(z) = -z**3 + 9*z**2 - 7*z + 12. Let m be c(j). Calculate the remainder when (84/m)/(1/5) is divided by 11.
10
Let r = 13 + -11. Let y be (3/r)/((-9)/12). Calculate the remainder when 17 is divided by -12*((-1)/y - 1).
5
Suppose 5*a - b = 420, -5*a + 5*b = -349 - 91. Let y = -47 + a. What is the remainder when 71 is divided by y?
35
Let z = 4 + 1. Suppose -36 = w - z*w. Suppose -21*c + 1456 = 60*c + 10*c. What is the remainder when c is divided by w?
7
Let z(f) = -2*f**2 - 8*f + 6. Let y be z(-5). Let d = 19 - 9. Calculate the remainder when 36 + (-3)/(6/y) is divided by d.
8
Suppose 4*f - 2*s - 3*s = -520, 4*s - 260 = 2*f. Calculate the remainder when (132/(-10))/(39/f) is divided by 25.
19
Let c = -299 + 315. Suppose 0 = -3*d + 442 + 116. Suppose 0 = -y + 4*y - d. Calculate the remainder when y is divided by c.
14
Let l(i) = 2*i**2 - 32*i - 233. What is the remainder when 743 is divided by l(-6)?
30
Let q = -1229 - -1289. What is the remainder when q is divided by 15?
0
Let f(m) = -4*m**2 + 33*m + 15. Let r(u) = 4*u**2 - 31*u - 14. Let y(p) = 4*f(p) + 5*r(p). Let s = -8 + 29. What is the remainder when y(8) is divided by s?
20
Suppose 0 = 6*j - 4*j - 80. What is the remainder when j is divided by 9?
4
Let b(o) = 28*o**2 + 4*o - 2. Let a be b(1). What is the remainder when (4/(-5))/(2/a*-2) is divided by 2?
0
Let x(q) = -q**3 + 6*q**2 + 3*q - 15. Calculate the remainder when 67 is divided by x(5).
17
Suppose k - 61 = 5*t, 4*t + 216 = -5*k + 8*k. What is the remainder when 277 is divided by k?
49
Let g be (-2)/8 - 450/(-8). Let z = -46 + g. Calculate the remainder when 36 is divided by z.
6
Let m = -46 + 119. What is the remainder when m is divided by 29?
15
Let w be ((-1)/4)/((-5)/80). Suppose -4*m + w = -4. Suppose -i - 2*x = 3*x - 39, m*x = 5*i - 249. Calculate the remainder when i is divided by 26.
23
Let m(i) = -6*i + 332. Calculate the remainder when m(-12) is divided by 68.
64
Suppose 3*r = -3*i + 750, 5*i - 13*r - 1255 = -17*r. Calculate the remainder when i is divided by 16.
15
Suppose 137*v - 96 = 129*v. Calculate the remainder when v is divided by 12.
0
Suppose 14 = 7*r - 0*r. Calculate the remainder when 3 is divided by r.
1
Suppose 18*a - 2*a = 128. What is the remainder when 45 is divided by a?
5
What is the remainder when 95 is divided by 2/((-6)/(-21))*24/7?
23
Let a = -2118 - -2193. What is the remainder when 230 is divided by a?
5
Suppose b = 2*b. Suppose 5*c + 6 - 36 = b. Suppose -s + 6 = 2*l - c, 2*s - l = 34. What is the remainder when 62 is divided by s?
14
Suppose 12 = -2*j + 6. Let x = j - -51. Calculate the remainder when x is divided by 17.
14
What is the remainder when 358 is divided by (1/3)/(20/900)?
13
Let b(f) = 12*f + 343. What is the remainder when 256 is divided by b(-25)?
41
Let s = 778 + -763. Let d = 2 + 1. Let b(u) = 3*u**3 - 3*u**2 - 5*u + 3. Calculate the remainder when b(d) is divided by s.
12
Let o(p) = -2*p + 16. Let g be o(7). Suppose -g*z = z - 147. Calculate the remainder when (-131)/(-7) + 14/z is divided by 11.
8
Let l(g) = g**3 + 4*g**2 - 2*g - 1. Let v = 1110 + -1096. What is the remainder when v is divided by l(-4)?
0
Suppose 3*d - 4*o - 1 - 13 = 0, 5*d - 5*o = 20. Suppose d*m - 2*l = -m + 17, -2*l = -4*m + 26. Calculate the remainder when 28 is divided by m.
1
Suppose 2*k = -5*f + 6*k + 18, 12 = f - 5*k. Suppose -m + 2*m - 9 = -s, 4*s = -f*m + 26. What is the remainder when m is divided by 4?
1
Suppose -148 = -4*b + 3*n, -b = -2*n - 18 - 14. Let v be ((-45)/10)/((-6)/b). Suppose z = -2*z + v. Calculate the remainder when 17 is divided by z.
7
Let c(p) = -3*p - 38 - 4*p + 5*p + 6. What is the remainder when 35 is divided by c(-22)?
11
Let n = -528 + 1085. What is the remainder when n is divided by 33?
29
Let j(i) = -i**3 + 33*i**2 + 155*i - 2. Calculate the remainder when j(37) is divided by 37.
35
Let i = -660 - -718. Calculate the remainder when 231 is divided by i.
57
Let w = -939 + 956. Suppose 4*q + 21 = l - 42, l - 35 = -3*q. What is the remainder when l is divided by w?
13
Suppose -862 = -29*b - 21. Calculate the remainder when b is divided by 15.
14
Let q(n) = 11*n**2 - 2*n - 48. Calculate the remainder when q(-5) is divided by 27.
21
Let m = -4 + 10. Let z(v) be the third derivative of v**4/6 - v**3/3 + 11*v**2. What is the remainder when z(m) is divided by 12?
10
Let j = 5 + -3. Let a(r) = 73*r**2 + 2*r + 1. Let p be a(-1). Suppose j*c = -2*c + p. Calculate the remainder when 51 is divided by c.
15
Let t(b) = 2*b + 18. Let v be t(-12). Let s be ((-15)/6)/(-5)*0. Let g = s - v. Calculate the remainder when 21 is divided by g.
3
Let v(h) = 15*h - 17. What is the remainder when v(5) is divided by (-2 + 92/12)*3?
7
Let c = 16 + -8. Suppose b + 4*k - 6 = 0, 3*k - 1 = 2*k. Suppose -43 = -g + 4*m, -b*g + 5*g = -4*m + 113. What is the remainder when g is divided by c?
7
Let s = 351 - 229. Let l(n) = -n**3 - 5*n**2 + 5*n - 6. Let j be l(-6). Suppose -2*i + j*i + 62 = 0. What is the remainder when s is divided by i?
29
Suppose 0 = -5*j + 9*j - 124. What is the remainder when 278 is divided by j?
30
What is the remainder when -7 + (-7224)/(-40) + 2/5 is divided by 6?
0
Suppose -8877 = -73*g + 1489. Calculate the remainder when 565 is divided b