emainder when 9 is divided by p.
1
Let s = 12 - 22. Calculate the remainder when 35 is divided by -1 - -3 - s - 3.
8
Suppose 176 - 806 = -5*c. What is the remainder when c is divided by 32?
30
Let l(r) = -37*r**3 - r**2 + r + 1. Suppose g + 5 = 0, 4*g - g + 20 = -5*a. Calculate the remainder when l(a) is divided by 19.
17
Suppose 0 = -2*b + t + 22, -5*t - 45 = b - 6*b. What is the remainder when 33 is divided by b?
7
Let t be 2*(-3)/(-2) - 1. Suppose 0 = -t*w + 48 + 36. Let a = -37 - -59. What is the remainder when w is divided by a?
20
Let n(f) be the third derivative of -f**6/120 + 2*f**5/15 + 7*f**3/6 - f**2. What is the remainder when 19 is divided by n(8)?
5
Calculate the remainder when (-5 - -1) + 2 + (0 - -89) is divided by 23.
18
Let u(f) = f + 5. Suppose -6 + 57 = 3*z. What is the remainder when z is divided by u(4)?
8
Suppose -64 = -0*y + 4*y + 2*a, -4*y - 68 = a. What is the remainder when 71 is divided by 12/y*6*-6?
23
Let i = -9 + 13. Suppose 0 = 2*d - 10. Calculate the remainder when 2 + (-2 - i)/(-1) is divided by d.
3
Suppose 4 - 12 = -4*u. Suppose 0 = -u*v - 2*v. Suppose v*w - 3*w + 27 = 0. What is the remainder when w is divided by 6?
3
Suppose 0 = -6*f + 3*f + 333. Suppose 2*y + 1 = f. What is the remainder when y is divided by -1 + 19 + 1 + 0?
17
Let u = 73 + -50. Calculate the remainder when 91 is divided by u.
22
Let r = 65 + -63. What is the remainder when 3 is divided by r?
1
Calculate the remainder when 10 is divided by (10 - 11)/((-2)/12).
4
Let x = -15 - -24. Calculate the remainder when (-31)/(-2) - 1/2 is divided by x.
6
Let k = 1 + 1. Calculate the remainder when k/5 + (-615)/(-25) is divided by 13.
12
Let x = 32 - 19. Suppose -5*h + 120 = -3*t, -t = -5*h - 0*t + 120. Calculate the remainder when h is divided by x.
11
Suppose -4*v = -2*j + 1620, -j + 3*v = -0*v - 810. Suppose 0 = -5*h - 160 + j. Suppose -5*r + 15 = -h. What is the remainder when r is divided by 10?
9
Let o = -62 - -115. What is the remainder when o is divided by 11?
9
What is the remainder when 7 is divided by (0 + 12)*(-2)/(-6)?
3
Let j(x) = -x - 2. Let q be j(-4). Suppose v - 8 = q. Let i = 14 - 8. Calculate the remainder when v is divided by i.
4
Suppose -4*i + 7 - 1 = 3*s, i - 3*s - 9 = 0. Let v = -8 + i. Calculate the remainder when ((-2)/v)/((-5)/(-425)) is divided by 12.
10
Let y be (-2)/7 + (-80)/14. Suppose 0 = 4*f - 33 - 39. Let v = y + f. What is the remainder when 33 is divided by v?
9
Let g = -22 + 42. Let y = -21 - -32. Calculate the remainder when g is divided by y.
9
Let m(d) = d**3 + 9*d**2 + d + 19. What is the remainder when m(-9) is divided by 6?
4
Let n(u) = -u**2 - 12*u + 9. Calculate the remainder when n(-10) is divided by 15.
14
Let u(c) = -3*c**3 + c**2 + 2*c + 1. Let m(y) = -2*y + 1. Let f be m(1). Calculate the remainder when 6 is divided by u(f).
0
Suppose -3*a + 55 = 2*a. Let q(m) = 25*m - 5. Calculate the remainder when q(1) is divided by a.
9
Suppose 0 = -s + 4*c - 1, 2*s + 4*c - 22 = 0. Let b = -30 - -54. Let u = b - s. What is the remainder when 50 is divided by u?
16
Suppose -4 - 2 = 3*y. Suppose -5*s + i = -0*s - 30, 2*s - 12 = 2*i. Calculate the remainder when ((-30)/(-4))/((-1)/y) is divided by s.
3
Let s(l) = -l**3 - l**2 - l + 1. Let b(z) = 7*z**3 + 4*z - 6. Let g(d) = -b(d) - 6*s(d). What is the remainder when 21 is divided by g(6)?
9
Suppose k = 5*k - 20. Suppose -2*m = -141 + k. Calculate the remainder when m is divided by 14.
12
Suppose -o + 4*o = -3*t + 24, 3*o = t + 4. Let r = t - 0. Calculate the remainder when 14 is divided by r.
4
Let m(o) = 5*o**3. Let l be m(1). Suppose l*v - 63 + 13 = 0. What is the remainder when 29 is divided by v?
9
Suppose -2*p = p - 15. Let y be 7 + -1*2/2. Calculate the remainder when (-119)/(-9) - y/27 is divided by p.
3
Let d = 18 + -10. Calculate the remainder when 39 is divided by d.
7
What is the remainder when 56 is divided by 1358/70 + 4/(-10)?
18
Let t(d) = 5*d**2 - d - 7. Let k(g) = -g**2 + 2. Let o(r) = -9*k(r) - 2*t(r). Let z be o(5). Let s = z - -40. What is the remainder when s is divided by 11?
10
Suppose a - 5*t = -3*a + 21, -2*t = -a + 6. Let k(v) = 2*v + 2. Suppose 4*b = b + 57. Calculate the remainder when b is divided by k(a).
9
Let u(l) = -3*l - 17. Let i be u(-8). Suppose -4*j - 39 = -i*j. Let v(d) = d**2 - 1. Calculate the remainder when v(5) is divided by j.
11
Let p(s) = -8*s - 3. Calculate the remainder when 38 is divided by p(-2).
12
Let s = -36 - -56. What is the remainder when s is divided by 12?
8
Let p = -4 + 7. Suppose -p*g - 35 = -2*w - 6*g, 80 = 3*w - g. Let v = 29 - 16. What is the remainder when w is divided by v?
12
Calculate the remainder when ((-48)/36)/(98/102 + -1) is divided by 7.
6
Suppose -5*f = -0*g + 2*g - 83, -f = 5*g - 35. What is the remainder when 36 is divided by f?
6
Suppose -46 = -2*u - 0*u. What is the remainder when u is divided by 13?
10
Let m = 57 + -43. What is the remainder when 26 is divided by m?
12
Let a(u) = u**3 + 13*u**2 + 11*u - 2. Let k = 63 - 44. Calculate the remainder when k is divided by a(-12).
9
Suppose -4*n - 17 = 7. Suppose -5*j = -7*p + 2*p - 40, -8 = 4*p + 2*j. Let w = p - n. Calculate the remainder when 3 is divided by w.
1
Suppose 0 = 4*r + 7 + 1, 0 = 5*d + r - 88. Calculate the remainder when 35 is divided by d.
17
Let f = -71 + 99. Suppose -j = -5*j + f. Suppose 2*h = v, 4*v - 3*v + 4*h = 12. What is the remainder when j is divided by v?
3
Suppose -4*z + 61 = 3*k, 16 = 6*z - 2*z. What is the remainder when k is divided by 4?
3
Let a = 15 - 9. Suppose -5*n - 10 = -f + a*f, -1 = 3*n + 2*f. What is the remainder when 9 is divided by n?
0
Suppose -12 = t - 5*t. Suppose -t*w = -5*w + 4. Suppose w*k - 7 = k. Calculate the remainder when k is divided by 2.
1
Suppose -3*i + 46 = -f, 2*f = 3*i + 3*f - 56. Calculate the remainder when 64 is divided by i.
13
Let b = 164 - 116. Calculate the remainder when b is divided by 10.
8
Let d be 38/8 + (-2)/(-8). Let y(u) = u - 1. Let o be y(d). Suppose o*a + 15 = 5*a. What is the remainder when 44 is divided by a?
14
Let p = -8 - -12. Let a = p - 2. Let z = -45 - -47. Calculate the remainder when z is divided by a.
0
Suppose 3*o = 8*o - 25. Let i = -2 + o. Calculate the remainder when 7 is divided by i.
1
Suppose 2*g + 4*z + 8 = g, 0 = 3*z + 9. Let a = -3 + g. Suppose 2*n = -2*v - 4, 3*n = 4*v - 0*n - 13. What is the remainder when a is divided by v?
0
Let f = 7 + -10. Let s(r) = r**3 + 7*r**2 + 3. Calculate the remainder when s(f) is divided by 10.
9
Calculate the remainder when 81 is divided by 1 - ((1 - 30) + 2)/1.
25
Let j(q) = -89*q + 1. Calculate the remainder when j(-1) is divided by 23.
21
Suppose 3*r - 12 = -r. Suppose -108 = -r*d - d. Calculate the remainder when 53 is divided by 6/d - (-372)/27.
11
Let h(n) = 16*n - 5. Calculate the remainder when ((-6)/(-4))/((-278)/140 + 2) is divided by h(2).
24
Let c be 372/18 - 4/6. Let i = -15 + c. Let x = 21 + -12. What is the remainder when x is divided by i?
4
Suppose 6*g + 5*s - 37 = 2*g, s - 1 = 0. Calculate the remainder when 15 is divided by g.
7
Let k(y) = -y**2 - 18*y + 1. Calculate the remainder when k(-8) is divided by 21.
18
Let u(j) = 2*j**3 - 2*j**2 - 5*j + 3. Let i be u(3). Suppose -3*c = 3 - i. Calculate the remainder when 13 is divided by c.
6
Suppose 0 = -3*c + 5*c. Suppose c*y - y = -21. Calculate the remainder when y is divided by 11.
10
What is the remainder when (-5)/(-10)*(-534)/(-3) is divided by (-184)/(-16)*(1 - -1)?
20
Let w be (-3414)/(-18) - (-1)/3. Let q = 118 + w. Suppose -4*d + 0*d = -q. What is the remainder when d is divided by 26?
25
Suppose -4*v = -4*w + 112, -4 - 83 = -4*w - v. Calculate the remainder when w is divided by 8.
7
Suppose i + 4*o - 7 = 15, -i - 23 = -5*o. Calculate the remainder when 8 is divided by i.
0
Suppose 217 = 3*r - 3*a + a, 0 = 2*r - a - 145. Calculate the remainder when r is divided by 38.
35
Let s(i) = -12*i - 1. What is the remainder when (-2)/(-2 - (-60)/31) is divided by s(-1)?
9
Let q be (-2*(-2)/(-4))/(-1). Let s be 68/(-2) - (0 + q). Let g = -17 - s. Calculate the remainder when 52 is divided by g.
16
Let s be ((-21)/2)/((-3)/4). What is the remainder when (3 + s)*4/2 is divided by 12?
10
Let f(q) = q**2 + 13*q - 14. Let m be f(-14). Let j = 11 