- -22. What is the remainder when w is divided by n?
2
Let v = 18 + -12. Let t(d) = -6*d + v*d - 7 + 8*d. What is the remainder when t(7) is divided by 13?
10
Let q(f) = f. Let z(y) = -4*y - 5. Let x(n) = 5*q(n) + z(n). Let v be x(9). Suppose -v*m + 8*m = 100. What is the remainder when 47 is divided by m?
22
Suppose 0 = -5*l - 4*w + 3, -3*l + 2*w = -3 - 12. Suppose l*h + 102 = 2*a, -4*a + 290 = 3*h + 50. Calculate the remainder when a is divided by 29.
28
Let f = -2710 - -2751. Calculate the remainder when 650 is divided by f.
35
Suppose -8*f = -3*f - 70. Suppose 2*d - f = -6. Suppose o = d*r - 105 - 0, 5*o = 3*r - 66. Calculate the remainder when r is divided by 15.
12
Let q = 75 - 36. Let a = -36 + q. Calculate the remainder when 5 is divided by a.
2
Suppose 4*n - 3*n = -q + 1, 0 = -q + 5*n - 5. Suppose q = -0*f - 2*f + 6. Suppose -f*j + 9 = 3. What is the remainder when 4 is divided by j?
0
Calculate the remainder when 156 is divided by (5 - 56/12)/(18/162).
0
Let p(l) = -l**2 + 49*l + 2. Let u(c) = -25*c - 1. Let s(n) = -4*p(n) - 7*u(n). What is the remainder when s(8) is divided by 23?
18
Suppose -20*a - 154 = -31*a. Calculate the remainder when 111 is divided by a.
13
Suppose -5*o = a - 1, 4*a - 3*a = 5*o + 11. Let x(b) = b**2 + 3*b - 6. Calculate the remainder when x(a) is divided by -1 + (-8)/(-6) - (-1702)/69.
23
Suppose -23*c + 35 = -18*c. What is the remainder when 26 is divided by c?
5
Suppose -5*o + 40 = -5*m, 2*o + 18 - 6 = -5*m. Suppose -28 = -o*f + 264. What is the remainder when f is divided by 37?
36
Let s(u) = -u**2 + 11*u - 2. Let n be s(7). Suppose n = -2*m + 4*m. What is the remainder when 51 is divided by m?
12
Suppose -218 = -3*p + p. Suppose 27*g - 28*g = -14. Calculate the remainder when p is divided by g.
11
Let p(j) = -5*j - 14. Suppose 0 - 21 = 3*v. Suppose 63 = 5*o + 23. Calculate the remainder when p(v) is divided by o.
5
Suppose 107*z - 94*z = 481. Calculate the remainder when 282 is divided by z.
23
Let c(i) = -i**3 - 10*i**2 + 13*i - 2. Suppose 5*l = -0 + 5, -5*s - 2*l = 53. Let d be c(s). What is the remainder when (-50)/(-14) - d/(-42) is divided by 1?
0
Suppose 4*m = q + 4*q + 63, -m - 3*q + 20 = 0. Suppose 13 + m = 5*t. What is the remainder when 4/t*(-957)/(-22) is divided by 8?
5
Suppose 204 = 4*d + p, -4*d - 3*p + 258 = 54. Suppose -c - c + 8 = 0. Suppose c*o + o - 130 = 0. Calculate the remainder when d is divided by o.
25
Calculate the remainder when 93 is divided by ((-34)/7)/((-4)/28).
25
Suppose -6*d = 24*d - 1140. What is the remainder when 75 is divided by d?
37
Let f = 8 - 2. Suppose -3*z = 15, p + f*z - z = -2. What is the remainder when p is divided by (7/28)/((-1)/(-52))?
10
Let k(c) = -c**2 + 5*c - 1. Let f be k(7). Let w = -11 - f. What is the remainder when 13 is divided by w?
1
Suppose 34 - 106 = -4*n. Suppose -80 = 52*y - 68*y. Suppose 2*u = 5*k + 7*u - 50, y*u - n = -k. What is the remainder when 15 is divided by k?
7
Let r be 15/20*(-3 + 7). Let o(d) = -d + 6. What is the remainder when o(r) is divided by 1?
0
Let d(t) = t + 57. Let w be d(0). Let m = -14 + w. Let a = -18 + m. Calculate the remainder when a is divided by 14.
11
Let u(f) = 4*f**2 - 3*f - 4. Let j be 33/(-12) - 3/12. What is the remainder when u(j) is divided by 11?
8
Suppose 5*v + 4 = -1. Let k be v/3 - (-242)/6. Suppose o - 2*o = -k. Calculate the remainder when o is divided by 14.
12
Let a = -81 - -22. Let j = 15 - a. Calculate the remainder when j is divided by 25.
24
Let q(n) = -n**3 + 7*n**2 + 3*n + 12. What is the remainder when 258 is divided by q(7)?
27
Let o(q) be the second derivative of q**3/3 + 2*q**2 - 3*q. Suppose -2*y + 0*y + 10 = 0. Calculate the remainder when 26 is divided by o(y).
12
Suppose -6*p + 178 + 212 = 0. Suppose l - m - 3*m = 24, 0 = -4*m - 20. Suppose -l = q - 26. Calculate the remainder when p is divided by q.
21
Suppose 70 + 38 = 3*w. Let m = -36 + 39. Suppose m*l = 4 + 311. What is the remainder when l is divided by w?
33
Let r(o) = o**3 + o**2 + 2*o + 2. Let f be r(3). Let h = -21 + f. What is the remainder when h is divided by 6?
5
Suppose 12*r + w = 16*r - 2016, 0 = 2*w. Calculate the remainder when r is divided by 129.
117
Suppose 2*d = -2*l + 116, 0 = 2*l + 1 + 9. What is the remainder when 251 is divided by d?
62
Suppose -36 = -3*i + 5*c + 12, 5*i = 2*c + 80. What is the remainder when 46 is divided by i?
14
Suppose -3*n - y = -3 - 3, -5*n = -4*y + 7. Suppose 2*q - 9 = n. Suppose 3*i + 4*f = 2, -i + 5*f + 2 + q = 0. What is the remainder when 4 is divided by i?
0
Calculate the remainder when 2/(-16) - (-3759)/56 is divided by 43.
24
What is the remainder when 34 is divided by ((-168)/40)/((-6)/20)?
6
Let d(v) = 35*v**2 - 3*v + 5. Let l(r) = -52*r**2 + 4*r - 7. Let p(m) = -7*d(m) - 5*l(m). What is the remainder when (-1)/4*4*(-144)/6 is divided by p(-1)?
10
Let r(k) = 1 + 11*k - 4*k**2 + 3 - 3*k - 5*k**2 + k**3. Let v be r(8). Calculate the remainder when 47 - 2/(-3 + v) is divided by 23.
22
Let t(y) = y**2 + y - 6. Let d be t(3). Let z = -2 + d. Let s = 6 - 4. Calculate the remainder when z is divided by s.
0
Let g(d) = -d**3 - 3 - 8*d**2 - 4*d - d + 2*d**3. What is the remainder when g(9) is divided by 5/(-10)*10 + 12?
5
Suppose -y = 2, -j + y = -0*y - 18. Let p(v) = 11*v - 8*v - v + v**2 + 60. What is the remainder when p(0) is divided by j?
12
Suppose 0 = 54*w - 21751 + 7711. Calculate the remainder when w is divided by 14.
8
Let v = 1026 - 835. What is the remainder when v is divided by 46?
7
Suppose 2*s - 3*b = 5*s + 462, -462 = 3*s - 3*b. Calculate the remainder when -20 + 21 - (s + (-2)/(-2)) is divided by 39.
37
Suppose -b + 5*a = -6, 5*b - 10*b + 53 = -2*a. What is the remainder when 228 is divided by b?
8
Let h(c) = -c**3 - 6*c**2 + 2*c - 9*c + c + 6. Let i be -2*5 - (17 - 20). Calculate the remainder when h(i) is divided by 25.
22
Let h(b) = -b**2 + 11*b + 8. What is the remainder when h(6) is divided by (-27)/(-2) - (-23)/(-46)?
12
Let l be ((-6)/(-4))/((-3)/472). What is the remainder when l/6*(-12)/8 is divided by 20?
19
Let g = -20 + 28. Let q = -5 + g. Let m(i) = i**3 + 7*i**2 + 18*i + 51. What is the remainder when m(-5) is divided by q?
2
Let h be 2/(-5) + ((-16)/10 - -2). Suppose h = l + 3*y - 15, -y = -5*l + 5 + 70. Calculate the remainder when 41 is divided by l.
11
Suppose 0 = f + f + 5*y - 18, 0 = -3*f - 2*y + 49. Suppose -f*j + 1141 + 645 = 0. Let i = 36 + -12. What is the remainder when j is divided by i?
22
Suppose -4*l + 3*h - 644 = 0, 367 = -3*l - 3*h - 95. Let x = -103 - l. Calculate the remainder when x is divided by 21.
13
Let a = -104 + 230. Let z = 180 - a. Calculate the remainder when z is divided by 12.
6
Let w = -95 - -163. Calculate the remainder when w is divided by 25.
18
Let s(m) = -2*m**3 - 46*m**2 - 48*m - 23. Calculate the remainder when s(-22) is divided by 14.
9
Let o = 70 - 57. Let m = 97 - -4. Calculate the remainder when m is divided by o.
10
What is the remainder when (81/45)/(30/200) is divided by 4?
0
Let r(m) = -12*m - 27. Let f be r(-9). Calculate the remainder when 47 is divided by 828/f - 2/9.
7
Let x(c) = c**3 + 16*c**2 + c + 19. Let i be x(-16). Calculate the remainder when 74 is divided by ((-10)/i - 0)*36/(-8).
14
Let l be (-1)/3 - 128/(-24). Suppose 4*n = 3*c - 21, 3*c + n + 9 = l*c. Suppose -2*h + 113 = 5*d, h = 2 - c. Calculate the remainder when d is divided by 6.
5
Let x = 620 + -539. Calculate the remainder when x is divided by 71.
10
Let p(k) = 2*k**2 + 3*k - 2. Let c be p(1). Suppose c*s + 3*y - 36 = 0, 15 = -y - 4*y. Calculate the remainder when 102 is divided by s.
12
Let x(m) be the second derivative of 7*m**3/6 - 3*m**2/2 - 3*m - 17. Let y = -8 - -13. What is the remainder when x(y) is divided by 9?
5
Suppose 198 - 60 = 6*a. What is the remainder when a is divided by 14?
9
Suppose -1344 = -5*y - 43*y. Calculate the remainder when 194 is divided by y.
26
Suppose 0 + 4 = 4*t. Calculate the remainder when -3 - -14 - (t - 2) is divided by 3.
0
Let z(v) = 5*v**2 - 8*v - 6. Let t(w) = 48*w**2 + 15*w + 1. What is the remainder when z(6) is divided by t(-1)?
24
Let u = -3 + 5. Suppose -u*r + 25 = 5*f, 3*f + 8 - 23 = -r. Suppose 5*n - 247 = -4*s, n + r*n + s = 50. Calculate the remainder when n is divided by 16.
15
