at is the remainder when -1 - (d - (-3 + -1)) is divided by 3?
2
Suppose 2*p + 36 = 4*z, -p = 3*z - 0*p - 22. Suppose -135 = 3*y - z*y. Calculate the remainder when 107 is divided by y.
26
Let b(p) be the second derivative of -p**5/20 + 11*p**4/12 - 4*p**3/3 - 15*p**2/2 + 18*p. Calculate the remainder when 12 is divided by b(10).
2
Let p = -243 - -274. What is the remainder when 47 is divided by p?
16
What is the remainder when (-282)/(-4) - 5/(-10) is divided by 3?
2
Let z(n) = 3*n + 1. Let b(w) = -2*w. Let h(j) = 9*b(j) + 4*z(j). Calculate the remainder when 158 is divided by h(-6).
38
Let m = -58 - -25. What is the remainder when 12 is divided by m/(-55) + 27/5?
0
Let x = -2 - -3. Let f = 3 + x. Suppose -f*a + 109 + 91 = 0. Calculate the remainder when a is divided by 17.
16
Let a = -822 - -838. Let i = 43 + -15. What is the remainder when i is divided by a?
12
Suppose 4*u - 3*y - 56 + 4 = 0, -u = -2*y - 8. Suppose -112 = 3*h - 340. Calculate the remainder when h is divided by u.
12
Let n(a) = 19*a - 27. Let w be n(8). Suppose x - 6 = 113. Suppose -4*f + w = -x. Calculate the remainder when f is divided by 21.
19
Let s = 82 + -78. Suppose s*u - 4*m - 496 = 0, -3*u = -0*m + 3*m - 342. Calculate the remainder when u is divided by 24.
23
Let r(o) = -2*o**2 + 17*o - 19. Let t(p) = p**2 - 16*p + 20. Let v(w) = 2*r(w) + 3*t(w). What is the remainder when 19 is divided by v(-15)?
5
Let q(b) = b**3 + 3*b**2 - 22*b - 11. Let k be q(-11). Suppose 4*d - 5*a = 113, -2*a = 2*d + 3 - 73. Calculate the remainder when d is divided by 2/8 - k/44.
15
Let g = -1268 + 1353. What is the remainder when g is divided by 24?
13
Let p = 127 - 111. Calculate the remainder when p is divided by 10.
6
Let f(s) = 4*s**2 + 4 - s**2 + 17*s - 20*s. Let r be f(-3). Suppose -3*i + i = -r. What is the remainder when 58 is divided by i?
18
Let q(m) = m**3 + 5*m**2 + 8*m + 16. Let l be q(-5). Suppose -3*x + 1 - 31 = 0. Let s = x - l. What is the remainder when 53 is divided by s?
11
Suppose -v + 2*h + 70 + 49 = 0, -5*v + 595 = -5*h. Suppose -16*g - 15 = -17*g. What is the remainder when v is divided by g?
14
Let h(y) = y**3 + 9*y**2 + 4. Let m be h(-9). Suppose -5 - 27 = -m*u. Let z = -3 - -6. Calculate the remainder when u is divided by z.
2
Suppose 2*v - 1 = 7. Suppose v*y - 2*g - 201 = -3*g, 0 = 4*y + 5*g - 221. Let j = 20 + 6. What is the remainder when y is divided by j?
23
Let w = 13 - -9. Let k = 27 - w. Let p(g) = g**3 - 3*g**2 - 3*g - 7. Calculate the remainder when p(k) is divided by 11.
6
Let r(x) = -x**3 - x**2 - 13*x + 5. What is the remainder when r(-5) is divided by 19?
18
Suppose 543 + 215 = 4*m + 3*u, 5*m + 4*u - 948 = 0. Calculate the remainder when m is divided by 22.
12
What is the remainder when (13 - 1) + -28 + 30 is divided by 4?
2
Let n = 202 - 30. Calculate the remainder when n is divided by 20.
12
Let v(x) = -7*x + 20. What is the remainder when v(-13) is divided by 23?
19
Let l be (2 - 1)*(-1 + 66). Suppose 0 = -3*a + l + 28. Suppose -181 + 249 = 4*m. Calculate the remainder when a is divided by m.
14
Let v(i) = -i**3 + 5*i**2 + 10*i + 20. Calculate the remainder when v(-3) is divided by 8.
6
Suppose 0 = -34*a + 152 + 1106. Suppose -3*x + 2*x + 8 = 0. Calculate the remainder when a is divided by x.
5
Calculate the remainder when (375/(-10))/25 + (-241)/(-2) is divided by 31.
26
Let y = -60 - -77. Calculate the remainder when (-23)/(-2)*(-1 + 3) is divided by y.
6
Suppose 4*n = 8, r + 2*n - 11 - 31 = 0. What is the remainder when (-906)/(-12) - (2 - (-12)/(-8)) is divided by r?
37
What is the remainder when (693/28 - -3)/((-3)/(-4)) is divided by 10?
7
Let v(i) = 12*i**2 + i + 2. Let b be v(-4). Let x = 282 - b. Let f(g) = -g**3 - 5*g**2 - 24*g - 89. Calculate the remainder when x is divided by f(-5).
30
Let c = -59 + 92. What is the remainder when 39 is divided by c?
6
Suppose -218 - 2010 = -4*r. Calculate the remainder when r is divided by 70.
67
Let i be (-1)/((-3)/195*1). Suppose -21 = -4*r - i. Let k(q) = q**3 + 12*q**2 + 9*q - 15. Calculate the remainder when 10 is divided by k(r).
3
Let q(l) = 5*l - 1. Let b be q(-3). Let d(h) = -h**3 - 17*h**2 - 20*h - 19. Suppose 3*v = -v + 64. What is the remainder when d(b) is divided by v?
13
Let o(i) = i**2 - 7*i + 12. Let f be o(7). Suppose f = -2*h + 38. What is the remainder when 114 is divided by h?
10
Let x(g) = -38*g + 4. Let l(v) = v**3 - 4*v**2 + 8*v - 8. Calculate the remainder when x(-3) is divided by l(4).
22
Suppose -9 + 3 = -3*f. Calculate the remainder when (4/6)/(f/36) is divided by 5.
2
Suppose n - 61 = -2*h + 53, -3*n + h + 363 = 0. What is the remainder when 240 is divided by n?
0
Let j = 7 + -4. Suppose 0 = -3*i + 7 + 5. Suppose 3*n + 1 = 4*x + x, -i*x + 11 = n. Calculate the remainder when j is divided by x.
1
Suppose 6 - 21 = -3*w, -3*l = -5*w - 92. Calculate the remainder when l is divided by 22.
17
Let m be (-2)/((-6)/(-27)*3). Calculate the remainder when (-12)/m - -20 - 0 is divided by 9.
6
Let h(l) = l**2 + 6*l - 2. Suppose 12 = -2*j - 2. Let t be h(j). Suppose -a - 45 = -t*d + 16, 41 = 3*d - 5*a. Calculate the remainder when d is divided by 4.
0
Suppose 31 = 2*h + 4*g - g, 5*h = 4*g + 135. What is the remainder when 1100 is divided by h?
19
Let l(c) = -c**2 + 11*c + 6. Let s = 1 - -4. Let m(n) = n + 1. What is the remainder when l(10) is divided by m(s)?
4
Let j(w) = 5*w - 12. Let d = -25 - -32. Let t = d + 1. Calculate the remainder when j(t) is divided by 10.
8
Suppose -10*u = -20*u + 1600. Suppose -16*w = -26*w + u. Calculate the remainder when w is divided by 11.
5
Let q = -207 - -366. What is the remainder when q is divided by 55?
49
Let t = -67 + 184. Suppose -11*r + 180 = -5*r. Calculate the remainder when t is divided by r.
27
Let k be 6/((-3)/1) + 6. Suppose 2*q + 3*q - 17 = k*s, -q - s + 7 = 0. Calculate the remainder when 21*(20/12)/q is divided by 4.
3
Calculate the remainder when 256 is divided by 6 - (-34 + -1 - (-5)/(-1)).
26
Suppose -2*a + 51 = 43. Calculate the remainder when 41 is divided by a.
1
Let z = -1010 - -1039. Calculate the remainder when -2*(1 + (-85)/2) is divided by z.
25
Suppose -2*w = 2*f - 25 - 13, 3*w = -5*f + 89. What is the remainder when 158 is divided by f?
14
Suppose 219 = -5*t + 8*t. What is the remainder when 436 is divided by t?
71
Let v(f) = -5*f**3 - 1 + 0*f**3 + 3*f**2 + 4*f**3. Let p be v(2). Suppose u + 200 = p*x, 3*x - 331 = -2*x + 4*u. What is the remainder when x is divided by 14?
11
Suppose -4*r + 5*a - 10*a = -91, -3*r = -2*a - 74. Calculate the remainder when 119 is divided by r.
23
Suppose -4*b = s - 17, 4*b - 28 = -4*s - 8. Suppose -b*n - 7 = 17. What is the remainder when 33 is divided by -2*(-5)/((-5)/n)?
9
Suppose -2*t + 5*n + 57 = 0, -4*t + 8*n = 4*n - 96. Suppose -t = -2*b + 5. Calculate the remainder when 49 is divided by b.
10
Let k(q) = -2*q**2 + 17*q - 6. Suppose 9 = 5*h - 16. Let a(s) = s**2 - 9*s + 3. Let c(w) = h*a(w) + 2*k(w). What is the remainder when c(13) is divided by 8?
5
Let g(p) = -6*p. Calculate the remainder when (33/(-4))/(39/(-104)) is divided by g(-2).
10
Let d(g) = 8*g**3 - 2*g**2 + 1. Let w be d(1). Suppose -w*t = -2*t - 445. What is the remainder when t is divided by 30?
29
Let g(n) = -8*n**2 - 6 + n**3 - 6 + 2*n + 2. What is the remainder when g(8) is divided by 4?
2
Let m = -37 + 45. What is the remainder when 20 is divided by m?
4
Suppose 6*l + 268 = 8*l. Suppose 0 = 18*j - 19*j + l. What is the remainder when j is divided by 27?
26
Let c(r) = r**2 + r - 8. Let j be c(4). Suppose -5*a + j = -a. Suppose 150 = -0*k + a*k. Calculate the remainder when k is divided by 13.
11
Let j = 5 + -7. Let d be (j + 1)/((-1)/(-5)). Let n = d + 9. Calculate the remainder when 14 is divided by n.
2
Calculate the remainder when 87 is divided by 6/(-15) + 47/5.
6
What is the remainder when 495 is divided by 186/(-8)*(-3 + (-6)/(-18))?
61
Let g = 23 + -32. Let c = 2 - g. Calculate the remainder when -5 - 6/(18/(-69)) is divided by c.
7
Suppose 0 = 3*j + 3*g + g - 413, -j + 4*g + 143 = 0. Calculate the remainder when j is divided by 23.
1
Suppose 4*d - 16 = -5*q, -4*q + 19 = -0*q - 3*d. Suppose 64 = 4*m - 0*m. Suppose 0 = -5*j + 59 + m. What is the remainder when j is divided by q?
3
Calculate the remainder when