-5*r, 5*r = 3*n + 16. What is the remainder when (-4 - 3) + 3 - -11 is divided by n?
1
Suppose 0 = 8*p - 22*p + 1442. What is the remainder when p is divided by 22?
15
Suppose -242 = 31*o - 29*o. Let w = o + 170. Calculate the remainder when w is divided by 10.
9
Suppose 92*j - 123*j = -10447. Calculate the remainder when j is divided by 18.
13
Let o(c) = 2*c**2 - 13*c + 11. Let x(z) = 9*z**2 + 3*z - 2. Suppose m + 4*m = 5. Calculate the remainder when o(8) is divided by x(m).
5
Suppose -2*z + 132 = 2*z. Let a(o) = -o**2 + 9*o - 5. Let x(u) = -u**3 + 4*u**2 + 5*u + 7. Let l be x(5). Calculate the remainder when z is divided by a(l).
6
Let a = -7 + 13. Let z(d) be the first derivative of -d**3/3 - 5*d**2 - 5*d + 3. What is the remainder when z(-8) is divided by a?
5
Let m be (-5)/(40/396) - (-2)/(-4). Let q = 102 + m. Calculate the remainder when 155 is divided by q.
51
Let p be 9/(-36) - ((-89)/4 + -1). Suppose -p*m - 13 = -24*m. What is the remainder when 37 is divided by m?
11
Let o = 3 + 2. Let r(p) = -5*p**2 - 2*p. Let j be r(-2). Let q = 19 + j. What is the remainder when o is divided by q?
2
Suppose 10 = 2*g + 5*d, 5*d = -g + 24 - 9. What is the remainder when 1/g + 5/(50/522) is divided by 11?
8
Let v(q) = -q + 33. Calculate the remainder when 431 is divided by v(15).
17
Let h(d) = 42*d - 364. What is the remainder when 823 is divided by h(9)?
11
Let u(h) = 5 - 8 - 1 + 7*h + 4 - 1. Let m be 2*(-5)/2*-1. Calculate the remainder when 133 is divided by u(m).
31
Let m = -35 - -20. Let f = m - -19. Suppose 4*q = -f*c + 48, 0 = -2*c - 0*c + 6. Calculate the remainder when 35 is divided by q.
8
Suppose 2*d + 3*d - 300 = 0. Suppose d = 6*u + 6. Calculate the remainder when 33 is divided by u.
6
Let q = -198 - -342. Suppose 0 = -4*k - 4*s + q, 0 = -0*k - 5*k + 2*s + 180. Calculate the remainder when 107 is divided by k.
35
Calculate the remainder when 132 is divided by 3/(-7) - (-820)/35.
17
Let f(l) = 2*l**2 + 2*l - 1. What is the remainder when 4/40*32 + (-8)/40 is divided by f(-2)?
0
Let z = -3 - -2. What is the remainder when 182/(-21)*3/z is divided by 14?
12
Suppose 4*d + d = 10. Suppose -4*x + 24 = d*a, 3*x - a + 0 = 8. Suppose -14 = -2*k + k. Calculate the remainder when k is divided by x.
2
Let z(n) = -n**3 - 4*n**2 - 2*n + 7. What is the remainder when z(-5) is divided by (-275)/(-22) + 9/(-6)?
9
Let v(w) = w**3 - 2*w**2 - w - 1. Let r be v(3). Suppose -3*f + 42 = r*z, 2*f + 3*z = -f + 42. Calculate the remainder when f is divided by 9.
5
Let d = -19 + 31. Suppose l = 5*l - d. What is the remainder when l is divided by 2?
1
Let w be 8/(-6)*27/(-6). Suppose 10*b + 4 = w*b. Calculate the remainder when (b + 7)/((-15)/(-20)) is divided by 5.
3
Let d be (12/(-14))/((-8)/(-56)). Let q = 2 - d. Calculate the remainder when q is divided by 3.
2
Suppose o + o = 8, 3*d = 2*o - 11. Let k(v) = -156*v + 3. What is the remainder when k(d) is divided by 32?
31
Suppose 5*g - 4*a - 100 - 487 = 0, a - 121 = -g. What is the remainder when g is divided by 21?
14
Suppose d - 41 = 5*n - 7, -n - 212 = -4*d. What is the remainder when 139 is divided by d?
31
What is the remainder when ((-5)/(-2) - -1)/((-63)/(-1638)) is divided by 46?
45
Suppose 3*g - 2*g - 13 = 0. Suppose -1632 = -88*l + 2768. What is the remainder when l is divided by g?
11
Let u be 6*(-2)/9*-3. Suppose 42 = 2*o + 4*j, -5*j + 141 - 42 = u*o. Let n = -18 - -36. Calculate the remainder when o is divided by n.
13
Suppose 2*g = 3*g - 27. Suppose 4*s + s = v + g, 0 = -3*v - 4*s - 24. Calculate the remainder when v/18 + (-130)/(-6) is divided by 8.
5
Suppose 0 = -5*z - 3*s + 65, -26 = -100*z + 98*z + 4*s. Calculate the remainder when 33 is divided by z.
7
Suppose 0 = -167*t + 177*t - 90. What is the remainder when 96 is divided by t?
6
Let r(x) = 6*x**2 + 2*x. Calculate the remainder when (-492)/(-9) + (-5 - -12)/21 is divided by r(2).
27
Suppose -24*q + 960 = -8*q. What is the remainder when q is divided by 8?
4
Let g(a) = a**3 + 2*a**2 - 6*a + 10. What is the remainder when 219 is divided by g(3)?
34
Let t(g) = 44*g - 3. Suppose 1611 - 1649 = -2*k - 4*c, -4*k + 141 = -5*c. What is the remainder when t(2) is divided by k?
27
Suppose -6*t + 279 = 39. Calculate the remainder when t is divided by 21.
19
Suppose 2*a - 155 = 5. Let i = a - 68. What is the remainder when i is divided by 4?
0
Let k = -95 + 76. Let l = k - -28. Calculate the remainder when 133 is divided by l.
7
Let g(d) = d**3 + 33*d**2 + 28*d - 114. What is the remainder when 837 is divided by g(-32)?
11
Let d(m) be the first derivative of -m**2/2 - m + 1. Let l be d(-4). Suppose -l*h + 18 = -45. Calculate the remainder when 40 is divided by h.
19
Let z(m) = m**3 + 3*m**2 - 23*m - 3. Calculate the remainder when 76 is divided by z(-6).
22
Let l = 25 - 14. Let v(i) = -i**3 - 11*i**2 - 9*i - 70. Calculate the remainder when v(-11) is divided by l.
7
Let i(r) = 49*r**2 + 8*r - 24. What is the remainder when i(2) is divided by 35?
13
Let n = 40 - 29. Calculate the remainder when (-3)/6*n/(11/(-6)) is divided by 5/2 - (-3)/(-6).
1
Let o(r) = 89*r + 34. Calculate the remainder when o(1) is divided by 43.
37
What is the remainder when 85 is divided by 42 + -7 + (0 - 7)?
1
Suppose -50 = -2*x + 154. What is the remainder when x is divided by 35?
32
Let s be (-1)/(2/(-10 + 0)). Suppose -s*y + 0 + 15 = 0. Suppose 3 = -2*d + 9. Calculate the remainder when y is divided by d.
0
Let r be (9/4)/(18/24). Suppose 0 = -3*y - 5 - 4, r*o - 57 = 4*y. Calculate the remainder when o is divided by -4 + 2 - (-10 - 0).
7
Suppose 8*t + 6 = 9*t. Suppose 2*n = t*n - 36. What is the remainder when 24 is divided by n?
6
Let o(l) be the first derivative of l**2/2 + 5*l - 11. Suppose -44 = -q - 3*q. Calculate the remainder when 30 is divided by o(q).
14
Suppose -12 = -5*q + 3. Suppose q = -c + 19. Calculate the remainder when 59 is divided by c.
11
Suppose j = -5*v + 212, -v - 4*v = -3*j + 556. Calculate the remainder when 39 is divided by j/20 - (-2)/5.
9
Let v be 49/(-7)*2/2. Let d = v + 9. Suppose -d*n - 2*y = -4*n + 22, 0 = 2*n - 5*y - 34. Calculate the remainder when n is divided by 3.
1
Let t(g) = -g**2 - 18*g + 30. Let b = -35 + 16. What is the remainder when t(b) is divided by 3?
2
Let z(n) = -2*n - 2*n + 183 - n - 226. What is the remainder when 101 is divided by z(-14)?
20
Let c = 10 + -7. Let l(h) = -4*h**2 - 1 + h - h**c - 2*h + 0*h - 2. Calculate the remainder when l(-5) is divided by 7.
6
Suppose -22 = -j + 68. Let u be 156/2 + -13 + 9. Suppose 0 = -3*d + z + u, -d - 61 = -3*d + 3*z. What is the remainder when j is divided by d?
21
Let o = -8 + 23. Suppose -2*t = -4*t + 2. Suppose 245 = 6*i - t. What is the remainder when i is divided by o?
11
Suppose 0 = 5*l - 2*f - 48 - 58, 0 = 2*l + 4*f - 52. Calculate the remainder when 107 is divided by l.
19
Let s = -68 - -107. Calculate the remainder when s is divided by (5 + -5 + 1)/(11/77).
4
Calculate the remainder when (3510/36 - -12)*(1 - -1) is divided by 63.
30
Let q(z) = -z**3 - 4*z**2 + z + 1. Suppose j + 2*i = 41, 4*j + 4*i + 164 = 8*j. What is the remainder when j is divided by q(-5)?
20
Suppose 2*i - 5*a = 3, 0 = -5*i - 0*i + 4*a + 50. Calculate the remainder when (-2)/(-5) + 4368/105 + -3 is divided by i.
11
Suppose 0 = -5*t - 25, 2*j = -0*j - 4*t - 24. Let y be (j - 2)/(2/(-3)). Let a = y + -3. Calculate the remainder when a is divided by 1.
0
Let n = -8 + 12. Suppose 2*l = -0*l + n. Suppose -5*v + 2*w + 84 = 0, -l*v - 4*w = -27 + 3. What is the remainder when 46 is divided by v?
14
Let u = 17 + -17. Suppose -5*k + 115 = -u*l + l, 191 = 2*l - 3*k. What is the remainder when l is divided by (-8)/(-12) + (-196)/(-12)?
15
Suppose -5*m = -0*m - 4*q - 251, 3*q - 105 = -2*m. Calculate the remainder when m is divided by (48/(-9))/4 - (320/(-15) - -2).
15
Let l = -394 - -422. Let s(t) = 2*t**2 - 6*t + 7. Let m be s(7). Let a = 116 - m. What is the remainder when a is divided by l?
25
Let w = 14 + 4. Suppose -2*n + 4 = -s, -3*n - 4 = 4*s - 5*n. Suppose -8*o + 523 - 99 = s. What is the remainder when o is divided by w?
17
Suppose -65*z - 62 = -66*z. Calculate the remainder when 265 is divided by z.
17
Let m(x) = 2*x + 38. Calculate the remainder when 59 is divided by m(-5).
3
Suppose 1458 = -92*t + 7714