 d. Calculate the remainder when r is divided by 23.
22
Let f(j) = -j**2 + 3*j - 2. Let l be f(2). Suppose 0 = h + 3, 4*c + c - 4*h - 182 = l. What is the remainder when c is divided by 12?
10
Suppose -5*o + 24 = -2*q - 27, 0 = 3*o + 4*q - 41. What is the remainder when o is divided by 6?
5
Let j be (1 - 0) + -2 + 4. Suppose 0*m = -j*z - m + 32, -1 = m. Suppose -7*y = -4*y - 96. What is the remainder when y is divided by z?
10
What is the remainder when 43 is divided by -2 + 3 + 2*5?
10
Suppose 0 = -11*b + 5*b + 24. Calculate the remainder when 11 is divided by b.
3
Let j = 19 + -12. Suppose -5*c - 2*l + 6 = -8, 2*c + 7 = -5*l. Suppose 0 = c*d - 5*g - 11, -1 = -d + 2*g + 1. What is the remainder when j is divided by d?
3
Suppose i = -2*i + 18. Suppose 2*t + 4 = 3*n + 15, -3*t - 3*n - i = 0. Calculate the remainder when 1 is divided by t.
0
Suppose 3*a - 2*a = 28. What is the remainder when 83 is divided by a?
27
Let h be (-51)/2*12/9. Let o = h - -49. Calculate the remainder when 43 is divided by o.
13
Suppose -2 = l - 6. Calculate the remainder when l is divided by 4.
0
Let b = -109 + 148. What is the remainder when b is divided by (3 + -1)/(2/21)?
18
Let x = -5 - 2. Let w = x - -16. What is the remainder when 26 is divided by w?
8
Suppose 0*j = 3*j - 237. Calculate the remainder when j is divided by 20.
19
Suppose -2*c + 1 = -5*j - 9, 0 = -c. Let a(z) = -z**3 - 6*z**2 - 6*z + 6. Calculate the remainder when j/7 - (-904)/28 is divided by a(-5).
10
Suppose 0 = 3*u - 4*u + 19. Let z = 42 - u. Calculate the remainder when z is divided by 12.
11
Let c(r) = r**3 - r**2 - r + 26. Let a = 0 - 0. Calculate the remainder when 50 is divided by c(a).
24
Let s be (-2)/3*(0 - 3). Suppose 21 = 5*g + a, -g + 19 - s = -3*a. Suppose 4*z + 8*y + 2 = 3*y, 3*y - 4 = -5*z. Calculate the remainder when g is divided by z.
1
Suppose -6*b + 8 = -2*b. Suppose 100 = b*g + 2*g. Calculate the remainder when 48 is divided by g.
23
Let z = 15 - 5. Suppose 5 = 5*m - 5*s, 2*m - 11 = -3*s + 1. What is the remainder when z is divided by m?
1
Suppose 29 = 3*w - 10. Let n be ((-12)/1)/(12/(-56)). Let d = 107 - n. Calculate the remainder when d is divided by w.
12
Suppose 2*y - 164 = -4*j, -y + 69 = 3*j - 55. Suppose -2*u - 3*k - j = k, 2*u - k = -57. Let q = -15 - u. Calculate the remainder when q is divided by 7.
5
Let g = -33 - -46. Suppose 0 = -5*b + 10 + 5. Suppose b*f = 2*f + 37. Calculate the remainder when f is divided by g.
11
Suppose -65 - 1 = -2*l. Calculate the remainder when 42 is divided by 4/(36/l)*3.
9
Let i = -19 + 29. What is the remainder when 58 is divided by i?
8
Let y(v) = 0*v + 6*v + 4*v**2 + 3 - 4 - 5*v**2. Let a be y(4). Suppose 5*o + 3*z = 30, -o + z = -a - 7. Calculate the remainder when o is divided by 5.
4
Let u(r) be the third derivative of r**5/30 + r**4/8 + r**3/6 - 3*r**2. What is the remainder when 28 is divided by u(-3)?
8
Let d(m) = m**3 + 9*m**2 - 2*m - 10. Calculate the remainder when 25 is divided by d(-9).
1
Suppose 26 = 3*a - 5*q, q - 33 = -5*a - q. Let u(b) be the first derivative of 3*b**2/2 - 5*b + 1. Calculate the remainder when u(6) is divided by a.
6
Suppose o - 4*o + 36 = 0. Let n be 1 + -1 - o/(-1). Let u = n + -7. Calculate the remainder when 19 is divided by u.
4
Suppose 140 = 28*n - 24*n. Calculate the remainder when 68 is divided by n.
33
Let i = -154 - -280. What is the remainder when i is divided by 32?
30
Let a = -6 + 9. Suppose -a*j - 2*j = -15. Suppose -j*o = 6, -3*o + 8*o - 75 = -5*r. Calculate the remainder when 66 is divided by r.
15
Suppose 0*p + 4 = 2*p. Suppose -p*g = -g. Suppose -22 = -g*h - 2*h. Calculate the remainder when 20 is divided by h.
9
Let c = 102 - 87. Calculate the remainder when 55 is divided by c.
10
Let l(u) = 7*u**2 - 2 + 2*u**2 + u**3 + 5 + 0*u**3. What is the remainder when 8 is divided by l(-9)?
2
Let t(u) = u**3 - 5*u**2 - 4*u - 2. What is the remainder when 17 is divided by t(6)?
7
Let s = 11 + -11. Suppose -3*g = 2*g - 10. Suppose -g*q + s = -4. Calculate the remainder when 5 is divided by q.
1
Let p(x) = -x + 1. Let z be p(-2). Suppose -w = z*w - 32. Suppose g + 2*i = 6*g + 3, i = -4*g + w. What is the remainder when g is divided by 1?
0
Let j = -2 - -13. What is the remainder when j is divided by 2/(-41) - 250/(-82)?
2
Let m(c) = 4*c**3 - 16*c**2 - 4*c - 14. Let a(j) = 3*j**3 - 15*j**2 - 4*j - 14. Let s(h) = 5*a(h) - 4*m(h). What is the remainder when s(-11) is divided by 16?
14
Suppose 0 = -2*r - 3*p - 1, -4*r + 2*p = -3*p - 31. Calculate the remainder when (0 - -15)*(-4)/(-10) is divided by r.
2
Let i(a) = -a**3 + 4*a**2 + 7*a - 6. Let p be i(5). Suppose p*x + 6 = x. Calculate the remainder when 27*((-4)/x - 1) is divided by 7.
6
Suppose -y = k - 43, 4*k + y = 2*y + 182. What is the remainder when k is divided by 12?
9
Suppose 2*n - 7*n + 25 = 0, -120 = -3*s - 3*n. Calculate the remainder when s is divided by 13.
9
Let o(m) = -m**3 - 6*m**2 - 6*m. Calculate the remainder when 18 is divided by o(-5).
3
Let j(s) = 3*s**2 + 8*s + 5. Suppose -82 = -3*b - 4*z, 2*z + 0*z = -4*b + 96. Calculate the remainder when j(-6) is divided by b.
21
Suppose 3*z + 3*g = -7 - 2, 3*z + g = -1. Let d = 6 + z. What is the remainder when d is divided by 0 - -2 - (-2 - -1)?
1
Suppose 5*u + 44 - 14 = 0. Let k = u + 9. What is the remainder when k is divided by 1?
0
Let g = -11 + 28. Suppose -h + 15 = -g. What is the remainder when h is divided by 17?
15
Suppose -5*u - 25 = 0, 5*m + 4*u + 16 = 81. Let p(w) = 2*w + 1. Calculate the remainder when m is divided by p(4).
8
Let t be (-6)/(-9)*-3*-2. Suppose -3*q - 16 = -t*q + 2*r, q + 2*r = -4. Suppose -4*b + q = -86. Calculate the remainder when b is divided by 13.
10
Suppose l - 31 = 19. Suppose 3*a - 41 = -2*m, -3*m + 2*m = -3*a + 2. Calculate the remainder when l is divided by m.
11
Let l = -21 + 23. Let h(b) = -b**2 - 4*b + 5. Let z be h(-5). Suppose 0 = r - z*r - 2. Calculate the remainder when l is divided by r.
0
Suppose 79 - 189 = -5*u. What is the remainder when u is divided by -16*((-52)/65 + (-3)/(-60))?
10
Calculate the remainder when 43 is divided by 3/(-30) + (-1768)/(-80).
21
Suppose 0 = 5*j + 5*d + 43 - 133, 2*j + 3*d - 41 = 0. Calculate the remainder when 62 is divided by j.
10
Let t = -79 + 49. Let k = -7 - t. Let v = 9 - 1. What is the remainder when k is divided by v?
7
Let g = 13 - 6. Let r(y) = -y**2 + 13*y + 33. Calculate the remainder when r(14) is divided by g.
5
Let d(o) = -o + 5. Let s be d(5). Suppose 2*w + s*w = 162. Suppose 0*v = -3*v + w. What is the remainder when v is divided by 14?
13
Let u be ((-2)/2)/(1/(-2)). Suppose -3*h + 175 = -q, 3*h - 292 = -2*h + u*q. Calculate the remainder when h is divided by 20.
18
Suppose k + 2*k - 12 = 0. Let m(i) = 9*i - 2. Let u be m(k). Suppose -2*w + 28 + u = 0. Calculate the remainder when w is divided by 11.
9
Let j(d) = 2*d**2 + 6*d + 8. Suppose -4*z - 12 = -0*z. Let o(x) = x**2 + 3*x + 4. Let g(y) = z*j(y) + 7*o(y). What is the remainder when 29 is divided by g(-4)?
5
Suppose -4*q + 9 = -47. Suppose 2*i = 16 + q. Calculate the remainder when i is divided by 8.
7
Suppose -2*p + 112 = 3*n + 23, 0 = -5*p + n + 197. What is the remainder when p is divided by (-136)/(-10) - 6/(-15)?
12
Let m = -61 + 74. Let f be (-2)/(304/(-150) + 2). Calculate the remainder when -3*3/((-27)/f) is divided by m.
12
Suppose -4*f + 5*f - 5 = 0. Let n(i) = i**3 + 5*i**2 + 3*i - 2. What is the remainder when n(-3) is divided by f?
2
Let l = -7 + 4. Calculate the remainder when ((-2)/l)/((-4)/(-162)) is divided by 15.
12
Let j(r) = -r + 7. Calculate the remainder when j(0) is divided by 2.
1
Suppose -f - 12 = -70. Suppose -26 - 29 = -4*v + c, -4*v + 65 = c. What is the remainder when f is divided by v?
13
Suppose 3*m - 4 - 8 = 0. Suppose 44 = m*g - 2*w, w + 8 = 3*w. What is the remainder when g is divided by 5?
3
Let l be (-106)/9 - (-2)/(-9). Let u(c) = -3*c - 10. Calculate the remainder when u(l) is divided by 7.
5
Suppose 465 = 3*p + 4*c, p + 3*c - 2*c = 156. Let v = p - 72. Calculate the remainder when v is divided by 30.
27
Calculate the remainder when 66 is divided by (-12)/8*(0 - (-76)/(-6)).
9
What is the remainder when 5/(-2*2/(-16)) is divided by -3*2/18 + (-68)/(-6)?
9
Let a = -12 + 5. Let z = 15 + a. Calcula