 Suppose -27 = 2*p + 3*k - 67, -4*k + f = p. Calculate the remainder when 33 is divided by p.
16
Let d(h) = -h**2 - 8*h + 78. Calculate the remainder when 116 is divided by d(-13).
12
Let h = 20 - 5. Suppose 3*g = -3*j + 5*j + 232, 0 = 3*j - 12. Suppose -16*w = -6*w - g. Calculate the remainder when h is divided by w.
7
Let d(y) = -113*y - 16. Let b(a) = 56*a + 8. Let s(t) = 5*b(t) + 3*d(t). What is the remainder when s(-2) is divided by 37?
36
Suppose -3*m = 4*z - 2*z + 47, 3*m + 23 = 4*z. Let s(a) = -a**2 - 16*a - 31. What is the remainder when 14 is divided by s(m)?
6
Suppose 0 = -n + 28 + 50. Let r = 95 - n. Calculate the remainder when 61 is divided by r.
10
Let d = -25 - -55. Let n = -66 + 119. Suppose v = n + 6. Calculate the remainder when v is divided by d.
29
Let q = -600 - -664. What is the remainder when 383 is divided by q?
63
Let k(b) = -b**3 - 4*b**2 + 3. Let d = 42 - 75. Calculate the remainder when k(-4) is divided by (-105)/d + 2/(-11).
0
Suppose -250 = -73*z + 48*z. Calculate the remainder when 37 is divided by z.
7
Suppose -55*t = -57*t + 44. Let i = t - 15. Calculate the remainder when 26 is divided by i.
5
Let d(w) = -4*w - 56. Let k be d(-7). Let j = k + 42. What is the remainder when 83 is divided by j?
13
Let g = 68 - 27. Suppose 3*o = 4*b - 50, 31*o = 32*o - 2. What is the remainder when g is divided by b?
13
Let k(x) = x**3 - 2*x**2 - x + 25. Suppose -8*u = -6*u. Calculate the remainder when k(u) is divided by 14.
11
What is the remainder when 1*((-2844)/(-28) - (-8)/(-14)) is divided by 7?
3
Let l be -1 + (-12)/(-10) - 7107/(-15). Calculate the remainder when 188 is divided by l/10 - (-3)/5.
44
Let o = -11 - -13. What is the remainder when o is divided by (-6)/4*6/(-9)?
0
Let z = -6 + 19. Suppose 5*b + 2*n - 19 = 4, -13 = -3*b - 2*n. Calculate the remainder when z is divided by b.
3
Let k(q) = -3*q**3 - 18*q**2 - 9*q + 5. Let a(c) = -c**3 - 6*c**2 - 3*c + 2. Let m(f) = 17*a(f) - 6*k(f). What is the remainder when 68 is divided by m(-5)?
12
Let v(q) = -q**3 + 19*q**2 + q - 14. Let y be v(19). Suppose 1 = -y*a + 111. Calculate the remainder when a is divided by 4.
2
Let b(w) = -6*w - 14. Let r = 408 + -269. What is the remainder when r is divided by b(-7)?
27
Suppose 9*m - 3102 = -13*m. What is the remainder when m is divided by 24?
21
Let z(j) = 9*j**2 - j. Let i(y) = -y**3 + 19*y**2 + 2*y. Let v be i(19). Let b = -28 + v. Calculate the remainder when z(-2) is divided by b.
8
Let k(n) = 2*n**2 + 12*n + 24. What is the remainder when k(-12) is divided by 9?
6
Calculate the remainder when 246 is divided by 8 + -6 + 40/1.
36
Suppose 2*u + 4*x = -0*u - 8, 5*x + 10 = -2*u. Let d(k) = k**3 - 3*k**2 - 49*k + 76. Let n be d(8). Let i = n - u. What is the remainder when 7 is divided by i?
3
Let z = 133 + -87. Let i = -2 + 4. Calculate the remainder when z is divided by (i/4)/(10/340).
12
Let g(u) = u**2 - 2*u - 162. Calculate the remainder when g(18) is divided by 5.
1
Suppose 178 = 2*i - 4*r, -3*r + 170 = -4*i + 541. Suppose -3*m - 7*y + 111 = -4*y, 3*m = 3*y + 81. What is the remainder when i is divided by m?
31
Let m = -94 + 98. Suppose 5*x = -5*h + 285, h - 2*h = m*x - 234. What is the remainder when 115 is divided by x?
56
Suppose -30*a - 1042 = -3532. Calculate the remainder when 312 is divided by a.
63
Let p be 1/(1*2/(-12)). Let n(h) = h**3 + h**2 - 4*h - 13. Let g be n(0). Let s = p - g. What is the remainder when s is divided by 3?
1
Let h(y) = y**3 + 31*y**2 + 33*y + 106. Calculate the remainder when 38 is divided by h(-30).
6
Suppose 0 = -2*f + 42 + 446. Suppose 0*s = 4*s - f. Let n(y) = y**2 + 6*y - 11. Calculate the remainder when s is divided by n(-9).
13
Suppose -92*z - 656 = -100*z. What is the remainder when z is divided by 44?
38
Let w(a) = 35*a - 53. Suppose -5*r + 4*u = -30, 0 = -6*u + u. What is the remainder when w(r) is divided by 16?
13
Let a(j) = -58*j**3 + 6*j**2 + 2*j - 3. What is the remainder when 174 is divided by a(-1)?
56
Suppose -29*s = -44*s + 210. What is the remainder when 220 is divided by s?
10
Let v(f) be the second derivative of -f**3/6 - f**2 - f. Let t be v(-6). Suppose -12 = t*u, 2*s + 3*u - u = 62. What is the remainder when s is divided by 12?
10
Let d be (-3)/(-18) - 33/(-18). Suppose -d*f - 9 = -7. Calculate the remainder when 7 + -1 + f + 3 is divided by 6.
2
Suppose 27*u + 3 = -w + 23*u, -23 = -5*w - u. Calculate the remainder when 44 is divided by w.
4
Let m = 457 - 243. What is the remainder when m is divided by 31?
28
Let a(r) = 10 - 10*r - r**2 - 35 + 19. Calculate the remainder when a(-7) is divided by 8.
7
Let w(c) = -c**3 - c**2 - c + 27. Let f = 1 - 1. What is the remainder when w(f) is divided by 4?
3
Let m = 949 + -865. What is the remainder when m is divided by (-2)/(3/3) - -19?
16
Let x be (-1)/7 - (-1)/(12 + -5). Suppose -3*d + 4*u + 141 = 0, -u = -x*d - 5*d + 218. What is the remainder when 169 is divided by d?
40
Let s(b) = b**2 + 6*b - 5. Let j be s(-7). Suppose 95 = 5*c - n + 5*n, -c + 5 = -j*n. Let d = c - 11. What is the remainder when 11 is divided by d?
3
Calculate the remainder when 246 is divided by (-8)/40 + 204/20 + -2.
6
Let f = -7 + 9. Suppose -u = f - 10. Calculate the remainder when 22 is divided by u.
6
Suppose 4*t + 2*y = -2*y + 124, 0 = 2*t + 3*y - 64. What is the remainder when 1447 is divided by t?
26
Let f = -6 - 0. Suppose 4*c = 0, 5*r + 0*r = c + 95. Calculate the remainder when r is divided by (-4)/f + (-62)/(-6).
8
Suppose -8*b = -23 - 65. Calculate the remainder when 38 is divided by b.
5
Let u(g) = g**2 - 9*g + 5. Let o be u(-5). Suppose 0 = -63*s + 66*s - o. What is the remainder when s is divided by 15?
10
Suppose -5*v - 23 = 2*t, -6*v + 2*v - 20 = 0. Calculate the remainder when 47 is divided by (-9)/((-90)/125) - t/2.
11
Let v(s) be the third derivative of -5*s**2 + 0 + 0*s + 11/6*s**3 + 1/24*s**4. Calculate the remainder when 12 is divided by v(-7).
0
Let z = 201 + -122. Suppose 4*d - 60 = -o, -4*d + o + 0*o = -68. Calculate the remainder when z is divided by d.
15
Let i(t) = t**3 + 4*t**2 - 6*t + 5. Let o = -21 + 19. Let w be -7 + (-4 - -8) + o. Calculate the remainder when 19 is divided by i(w).
9
Suppose m + 3*m = 0. Suppose m*w - 116 = -4*w. What is the remainder when w is divided by 8?
5
Suppose 0 = -18*j + 19*j - 97. Calculate the remainder when j is divided by 33.
31
What is the remainder when 577 is divided by (-7)/((-35)/100) + 0?
17
Let t be -5 + 42 + 3/(-1). Let q = 5 + t. Calculate the remainder when q is divided by (3 + -2)/((-7)/(-70)).
9
Let u(o) = -39*o - 5. What is the remainder when 162 is divided by u(-1)?
26
Let p be -1 + 27 + 6/(-3). Suppose -5*u + p = -u. Calculate the remainder when 79 is divided by (-4)/u + (-682)/(-33).
19
Let x = 109 - -1568. Calculate the remainder when x is divided by 73.
71
Suppose 146 = 7*l - 1. Suppose -z - 13 = -3*f, 6*z + 2 = -2*f + 4*z. Calculate the remainder when (-82)/f*(-6)/4 is divided by l.
20
Let d(g) = -2*g + 7. Let j be 21/2*4/(-6). Suppose l = -15 + 27. What is the remainder when d(j) is divided by l?
9
Suppose 0*u + 25 = -5*u, r - u = 22. Calculate the remainder when r is divided by 9.
8
Suppose 4*m = -3*j + 8*j + 5, 5*m = 3*j + 16. Let x = 0 - j. Let p(n) = -19*n + 1. What is the remainder when p(x) is divided by 20?
18
What is the remainder when 6/18*21 + 109 is divided by 11?
6
Let p(x) = -9*x - 107. What is the remainder when 123 is divided by p(-16)?
12
Let y(d) = -5*d**3 + 4*d**3 + 9*d**2 + 4*d**2. Let a be y(13). Suppose -2*z + a*z = -60. Calculate the remainder when 88 is divided by z.
28
Let f = -44 - -38. Let d = f - 6. Let i = -10 - d. Calculate the remainder when 10 is divided by i.
0
Suppose r = 3*f + 2*r + 35, 14 = -2*f + 4*r. Let w = f + 21. Suppose 14 + 22 = 2*c. What is the remainder when c is divided by w?
8
Suppose 2*h + 5*x - 113 = -0*h, 0 = 2*h - 2*x - 106. Suppose -4*d - m = -h, d - 4*m - 5 = -0*d. What is the remainder when 49 is divided by d?
10
Suppose -p - 2*s = -291, -2*s - 2 = -s. Suppose -4*a + p = -49. Suppose k - 10 = 2*x + x, -3*k + 82 = 4*x. What is the remainder when a is divided by k?
20
Let m be 2/(1/((-6)/(-4))). Suppose 4*a = -m*v - v + 88, -118 = -5*v - 3*a. Suppose 2*b - 2 = v. What is the remainder when 41 is divided by b?
13