03. What is the remainder when 68 is divided by b?
33
Let w(n) = -12*n - 69. Calculate the remainder when 93 is divided by w(-9).
15
Let d = -529 + 557. Let c = -22 + 44. Suppose 2*s = -0*s + c. What is the remainder when d is divided by s?
6
Let a = -45 + 11. Let b = a - -53. Let x(n) = -n**3 - 8*n**2 - 7*n + 10. Calculate the remainder when b is divided by x(-7).
9
Let d(z) = z**2 + 4*z - 123. Calculate the remainder when d(-15) is divided by 15.
12
Suppose -432 = 599*g - 615*g. What is the remainder when 33 is divided by g?
6
Let a(i) = 2*i**2 + 9*i + 3. Suppose -2*f - 3*q = -25, 4*f = -f - 3*q + 49. What is the remainder when a(-7) is divided by ((-2)/(-6))/(f/336)?
10
Let j = -40 + 43. Suppose -3*f + 108 = -v, -7*f + j*f - 5*v = -125. Calculate the remainder when 67 is divided by f.
32
Let x(h) = h**2 - h - 12. Let n be x(-9). Suppose 0 = -2*z + n - 52. Calculate the remainder when z is divided by 3.
1
Suppose -13 = -8*w + 3. Suppose -n - 13 = -w*n. What is the remainder when 116 is divided by n?
12
Suppose -280 = -2*r - 6*r. What is the remainder when 102 is divided by r?
32
Let q = -41 - -54. Suppose -l + 5 = -0. Calculate the remainder when q is divided by l.
3
Let z(k) = -3*k**3 + 5*k**2 + k. Let s(w) = w**3 - w**2. Let n(b) = -4*s(b) - z(b). What is the remainder when n(-2) is divided by 1?
0
Calculate the remainder when (2/(-4))/((-2)/12) + 288 is divided by 14.
11
Suppose 30*y = 22*y + 200. Suppose -5*u + 190 = -3*u - 2*a, -2*u - 3*a + 210 = 0. Calculate the remainder when u is divided by y.
24
Suppose -116 = -2*n - 2. Suppose -229 + n = -2*s. What is the remainder when s is divided by 18?
14
Let b = -100 + 104. Suppose 4*w - 12 - 4 = 0, -b*v + w = -204. Calculate the remainder when 258 is divided by v.
50
Let i = -10 - -16. Calculate the remainder when 17*(-2)/i*-6 is divided by (5 + -5 - -3) + 6.
7
What is the remainder when (1452/99)/(8/6) is divided by 5?
1
Suppose 3*d - 7 = -3*h + 5, -h + 5*d = -10. Suppose -5*w + 4*q + 3 = 65, -h*q = -15. What is the remainder when 17 is divided by (-1*2)/(w/45)?
8
Suppose -76*z + 118*z = 1764. What is the remainder when z is divided by (-6)/((-2)/6*2)?
6
Calculate the remainder when 20 is divided by 3 - (1 + -9 + 3).
4
Let j = -118 + 192. What is the remainder when j is divided by 38?
36
Let g(q) be the third derivative of q**4/2 - 5*q**3 - 30*q**2. What is the remainder when g(6) is divided by 22?
20
Suppose -2*q + 5*f + 0 = -9, 5*q + 3*f - 7 = 0. Let s = -6 + 12. Suppose q*o = s*o - 20. What is the remainder when o is divided by 2?
1
Suppose 2*d - 74 = 64. Suppose -d = -a - 17. Let m(u) = -u**2 + 11. Calculate the remainder when a is divided by m(0).
8
Let h(d) = -d - 20. Let r be h(-7). Let n = 7 - r. Let v(q) = 59*q**2 + q. What is the remainder when v(-1) is divided by n?
18
Let k(x) = x**2 + 15*x - 53. What is the remainder when 159 is divided by k(4)?
21
Let a = -229 + 255. What is the remainder when a is divided by 10?
6
Let h be (-4)/(4 + -9 + 3). Suppose 3*r + 4*f - 22 = 0, -5*r + f + h*f = 2. What is the remainder when (5 + (-12)/3)*r is divided by 1?
0
Suppose 26*h - 24*h + 4*n - 402 = 0, 189 = h - 2*n. What is the remainder when h is divided by 10?
5
Suppose -3*r = 4*v + v - 25, r - 13 = -4*v. Suppose r*t = 42 + 83. Calculate the remainder when 67 is divided by t.
17
Suppose 5*w = -2*i - 2*i + 162, -w - 188 = -5*i. Calculate the remainder when 183 is divided by i.
31
Let l(i) = -7*i + 6. Let h(s) = 5*s + 13. Let j be h(-3). Calculate the remainder when l(-5) is divided by 2 + (-22)/j - -1.
13
Let s = -46 + 46. Suppose k + s*q - 37 = -3*q, -k + 3*q = -13. Calculate the remainder when 46 is divided by k.
21
What is the remainder when 21 is divided by (28/6)/((-3)/(-9))?
7
Let l(k) be the first derivative of -7*k**2 - 7*k + 16. What is the remainder when l(-1) is divided by 2?
1
Let z(a) = -2*a**3 + 8*a**2 + 11*a - 3. Suppose -4*r - 1 = -21. Calculate the remainder when 7 is divided by z(r).
1
Let g = 33 + -30. Suppose 36 = -g*z + 9*z. Suppose -10*i + 168 = -z*i. Calculate the remainder when i is divided by 15.
12
Let u(r) = -r**3 - r**2 - 4*r - 4. Calculate the remainder when u(-6) is divided by 34.
30
Let h(m) = -4*m**3 - 21*m**2 - 3*m + 16. Calculate the remainder when 161 is divided by h(-5).
5
Let r = 296 - 163. Let o = r + -123. Suppose -2*g - 5 = -2*y - 59, 3*g - 86 = -2*y. Calculate the remainder when g is divided by o.
8
What is the remainder when 487 is divided by 13/(2 - (-42)/(-24))?
19
Suppose -7*h + 5 = -6*h. Suppose -3*i - 170 = -h*i. What is the remainder when i is divided by 30?
25
Let t(y) = 2*y**2 - 7*y - 24. What is the remainder when t(11) is divided by 13?
11
Suppose 5*q + 25 + 0 = 0, 2*m - 5*q - 47 = 0. Calculate the remainder when 647 is divided by m.
9
Suppose 263 = 4*u + 23. Let g = 95 - u. What is the remainder when 174 is divided by g?
34
Suppose 14*m - 244 = -888. Let i = -117 + 185. Let q = m + i. What is the remainder when q is divided by 5?
2
Suppose -8 = 2*j + 2*w - 30, 4 = -4*w. Suppose j = 4*r - 12. What is the remainder when 10 is divided by r?
4
Suppose -9475 + 9441 = -2*o. What is the remainder when 1223 is divided by o?
16
Suppose -2*g - 5*z = -6*g + 16, -5*g = -5*z - 15. Suppose -3*a + 19 = -2*a. What is the remainder when g/(-3) - 330/(-9) is divided by a?
18
Suppose -5*g + 4*g + 2 = 0. Suppose 26 = -4*f + 10, 5*y - 83 = g*f. What is the remainder when y is divided by 6?
3
Let w(r) = r**2 - 5*r - 5. Let n(a) = -a**3 + 14*a**2 - 43*a + 3. What is the remainder when w(-6) is divided by n(9)?
19
Let i(u) = -u**2 + 7*u - 5. Let c be i(3). Suppose -24 = 3*q - c*q. Suppose 7 = q*n - 29. What is the remainder when n is divided by 2?
0
Let a = 2649 + -2643. What is the remainder when 3 - 1 - -33*1 is divided by a?
5
Let i(u) = 7*u**2 + 5 + u**2 + u**3 - 10*u + 23*u - 12*u. Calculate the remainder when 90 is divided by i(-7).
43
Suppose -4*u = 4*u - 400. Calculate the remainder when 86 is divided by u.
36
Let x = 88 - 66. Let k = 85 - x. Calculate the remainder when 375 is divided by k.
60
Let a be (0 - 2*5)*(-116)/(-290). Suppose -4*y = -0*y - 96. Let u = y + a. Calculate the remainder when 78 is divided by u.
18
Let p = 962 - 868. Calculate the remainder when p is divided by 19.
18
Let b(j) = j**2 - 5*j - 18. Let c(n) = n**3 + 9*n**2 + 2*n + 4. Calculate the remainder when c(-8) is divided by b(-4).
16
Suppose -5*y + 37 = -4*i, -i + 0*i = -2*y + 16. What is the remainder when 14 is divided by y?
5
Suppose g + 5*w = 18, -9*g + 2*w - 67 = -12*g. What is the remainder when g is divided by 19?
4
Let r = 107 - 79. What is the remainder when r is divided by 17?
11
Let o be (-6)/10 - 235/25. Let k be (o/(-4))/(1/(-24)). Calculate the remainder when 1 - ((0 - 4) + k) is divided by 22.
21
Let i(q) = 6*q**3 + 4*q - 1. Let z be 1*-2*(-3)/3. Let n be i(z). What is the remainder when -5 + 2 + (n - 0) is divided by 18?
16
Let f(z) = 55*z + 1. Calculate the remainder when f(2) is divided by 2/(-2) + 0 + -2 + 17.
13
Let m = 446 + -433. Calculate the remainder when 116 is divided by m.
12
Suppose 5*j = -4*x + 48, 8*j - 20 = 3*j. Let t = -3 - -9. What is the remainder when 18/t - (-24 - -1) is divided by x?
5
Calculate the remainder when 299 is divided by 27 + -1 + -3 + 2.
24
Let q(u) = 33*u + 2. Let f be q(2). What is the remainder when f/12*3 - -1 is divided by (-1)/(-2 + (-9)/(-5))?
3
Let t = -1340 + 1344. What is the remainder when 154/6 - (-1)/3 is divided by t?
2
Suppose 6*a - 216 = 744. What is the remainder when a is divided by 33?
28
Let a = 21 - 14. Let r = 221 - 197. What is the remainder when r is divided by a?
3
Let v(k) = -k**2 + 6. Let n be v(0). Suppose t = n*t - 25. Suppose -t*j + 187 = -3*f, 4*j - f - 149 = 2*f. Calculate the remainder when j is divided by 14.
10
Let c(q) = 8*q**2 - 11*q - 16. Calculate the remainder when c(-3) is divided by 31.
27
Suppose -4*o - 3*w = -7*o + 594, -4*o = 5*w - 819. Suppose 6*a - 3*a = o. Calculate the remainder when a is divided by 14.
11
Suppose -5*x + 6*x + 7 = 0. Let d be (-4)/((-2)/x - 0). Calculate the remainder when (d/1)/(1/(-3)) is divided by 22.
20
Let a(v) = -4*v**2 + 9*v - 20. Let y be a(5). Calculate the remainder when 43 is divided by (-10)/y + 1/(-30)*-236.
3
Let a = -193 + 223. Calculate the rem