 remainder when 21 is divided by q.
9
Suppose 4*r + 5*h - 12 = 0, 0 = 2*h - 7*h. What is the remainder when 14 is divided by r?
2
Suppose 0 = -12*f + 161 - 17. What is the remainder when 167 is divided by f?
11
Let f(d) = d**3 - 6*d**2 + 2*d - 3. Let r(g) = 7*g - 1. Let v = -6 + 7. Let o be r(v). Calculate the remainder when 17 is divided by f(o).
8
Let t(w) = -10*w + 9. Let a = 36 + -26. Calculate the remainder when t(-2) is divided by a.
9
Let u(r) = -r - 5. Let s be u(-7). Suppose 5*n - 87 = 73. What is the remainder when n is divided by (s - 1) + 4 + 6?
10
Let z(x) = -x**3 + 2*x**2 - 3*x + 1. Let c(r) = r**2 - r + 8. What is the remainder when z(-3) is divided by c(5)?
27
Suppose 0 = 4*x - 17 + 5. Suppose -g + 7 = -y - 3, -x*g + 26 = y. Let j(s) = -26*s**3 - 2*s**2 - 2*s - 1. What is the remainder when j(-1) is divided by g?
7
Suppose 4*k + 3 = 23. Suppose k*n - 65 = p - 0, -n + 13 = -5*p. What is the remainder when 50 is divided by n?
11
Suppose -12 = 4*h - 7*h, 5*f = 3*h + 3. Suppose -2*u - 3*u = 3*b - 41, -9 = -3*b + f*u. Calculate the remainder when 25 is divided by b.
4
Suppose -679 = -14*s + 119. Let q = 0 + 15. Calculate the remainder when s is divided by q.
12
Let z(d) = -7*d - 24. What is the remainder when 106 is divided by z(-6)?
16
Let s(j) = -2*j**3 + 2*j**2 + 12. Let m(i) = -i**3 + 8*i**2 - 5*i - 4. What is the remainder when m(5) is divided by s(0)?
10
Suppose -3*r = 2*r - 50. Calculate the remainder when 79 is divided by r.
9
Let k = 35 + -50. Let q = 34 - k. What is the remainder when q is divided by 0 - 1 - -2*9?
15
Suppose d = -3*d - 176. Let b = d - -70. Suppose -4*j - b = -114. What is the remainder when j is divided by 8?
6
Suppose 17*q + 364 = 2727. What is the remainder when q is divided by 18?
13
Calculate the remainder when (160/48)/((-4)/(-18)) is divided by 9.
6
Suppose -135 = -6*p + 129. Suppose 0 = -4*a + 2*w + 2, 5*a - 4*a = -5*w + 6. Calculate the remainder when p is divided by (a - 2) + 16*1.
14
Let g be 1/((-1)/(-4)) - 2. Let o(c) = -c**3 + c**2 + 2*c. Let m be o(g). Suppose 4*k - 19 - 1 = m. What is the remainder when 8 is divided by k?
3
Let p(t) = -t + 2. Let d be p(-3). Suppose -d = 4*b - 53. Calculate the remainder when b is divided by 7.
5
Let y = 1 + 0. Suppose -b + 8 = 3*b - i, -y = 3*b + i. Calculate the remainder when (2 - b)*(-80)/(-2) is divided by 14.
12
Let v be 3/(-6) - 87/6. Let s = v - -35. Calculate the remainder when s is divided by 11.
9
Suppose 5*s - 2*a + 7*a = 155, s - a = 33. Calculate the remainder when (-192)/(-2) + (-4)/2 is divided by s.
30
Let x(d) = d**3 - 4*d**2 + 5*d. Suppose 0 = -2*r + 16 + 6. Calculate the remainder when r is divided by x(3).
5
Suppose 4*s - 1 - 35 = 0. What is the remainder when 17 is divided by s?
8
Let v = 15 - 14. What is the remainder when (v - 44/(-16))*4 is divided by (-1 - -2)/(1/6)?
3
Calculate the remainder when (215/(-15))/(4/(-24)) is divided by 30.
26
Let y(r) = 2*r + 1 + 0 + 1 + 1. What is the remainder when 34 is divided by y(3)?
7
Let t = 17 + -9. Let j be ((-20)/3)/(3/(-9)). Suppose 0*z - 2*r - j = -2*z, 60 = 5*z - 3*r. Calculate the remainder when z is divided by t.
7
Suppose 0 = 3*z - d - 91, 2*z - d - 32 - 27 = 0. Suppose -4*n = -16 - 4. Suppose 0 = -n*r + 32 + 53. What is the remainder when z is divided by r?
15
Suppose 4*z - 77 = 155. Let l = z + -16. Suppose 5*k + 12 = l. Calculate the remainder when 23 is divided by k.
5
Let h = 57 + -31. Let m = -15 + h. Suppose -36 = -4*x - 5*x. What is the remainder when m is divided by x?
3
Suppose -23 = p - 2*p. What is the remainder when 91 is divided by p?
22
Let h be 3/4 + 42/8. Let q = 55 - h. Calculate the remainder when q is divided by 25.
24
Let l = -1 + 15. Let g be 2*((2 - 0) + 1). What is the remainder when ((-6)/4)/(g/(-160)) is divided by l?
12
Let o(x) = 2*x**3 + 3*x**2 - 2*x + 3. What is the remainder when 78 is divided by o(2)?
24
Suppose -3*p - 2*z - 11 = -134, 5*z = -3*p + 123. Calculate the remainder when p is divided by 15.
11
Let f(k) = k**3 - 4*k**2 + 6*k - 11. What is the remainder when f(6) is divided by 25?
22
Suppose -72 = -i - 3*i. Calculate the remainder when i is divided by 7.
4
Let y be ((-2)/(-6))/(5/75). Suppose -3*v = 3*u - 12, 0 = y*v - 2*v + 2*u - 9. What is the remainder when v is divided by 1?
0
Let a be (-6)/4 - (-19)/2. Suppose j + 136 = 5*j. What is the remainder when j is divided by 497/28 + 2/a?
16
Suppose -41 = -14*m + 15*m. Let f = 71 + m. What is the remainder when f is divided by (-114)/(-7) + 4/(-14)?
14
Let y(l) = 5*l + 5. What is the remainder when y(4) is divided by 16 - (54/15 + 3/(-5))?
12
Suppose -5*s = -3*b - 13, 2*b = -5*s - 5 + 13. Calculate the remainder when 18 is divided by s.
0
Let d(s) = 47*s**3 + 2*s**2. Let c be d(-2). What is the remainder when c/(-10) - (-3)/15 is divided by 13?
11
Let h = -6 - -17. Let z(j) be the second derivative of j**4/12 + j**3/3 - 2*j**2 - 9*j. Calculate the remainder when h is divided by z(-4).
3
Let i(z) = z**2 + z + 2. Let h be i(-2). Suppose -t - 5*u = -3*t + 99, -222 = -h*t + 2*u. What is the remainder when t is divided by (1 - 1) + 15*1?
12
Let s = -1 - -12. Let t(d) = d**3 - 12*d**2 + 12*d + 10. Calculate the remainder when 40 is divided by t(s).
19
Suppose -14*h + 486 = 4*h. Let s(x) = -4*x + 5. Let y(q) = 4*q - 5. Let u(a) = 5*s(a) + 6*y(a). What is the remainder when h is divided by u(5)?
12
Suppose 8*z - 3*z = 200. Suppose 3*j - 39 + 2 = 4*x, 2*j + 5*x = z. Suppose 0 = 230*i - 196*i - 1462. Calculate the remainder when i is divided by j.
13
Let j(m) = m**2 - 3*m - 5. Calculate the remainder when 67 is divided by j(-4).
21
Suppose 31 = -6*k + 97. What is the remainder when k is divided by 4?
3
Let w(v) = -v**3 + 7*v**2 + 5*v - 7. Let i be w(7). Suppose 2*k - i - 6 = 0. Calculate the remainder when k is divided by 5.
2
Let b(o) = -o**3 - 12*o**2 - 11*o + 10. What is the remainder when 26 is divided by b(-11)?
6
Suppose 2*h - b = 7*h - 62, 3*b = -5*h + 66. Calculate the remainder when 41 is divided by 3/18 - (-250)/h.
20
Let k = 44 + -26. What is the remainder when 35 is divided by k?
17
Suppose 0 = 55*h - 52*h - 93. What is the remainder when 122 is divided by h?
29
Let o(p) = -p**3 - 2*p**2 + p - 3. Suppose -4*w - w = -2*b - 45, 16 = -b - 4*w. Calculate the remainder when b/(-4)*(3 - 1) is divided by o(-3).
1
Let s(y) be the third derivative of -25*y**4/24 + y**3/6 - 2*y**2. Let n be s(-2). Calculate the remainder when n/7 - (-4)/(-14) is divided by 4.
3
Let q(o) = -o**3 + 8*o**2 - 3*o + 1. Calculate the remainder when q(7) is divided by 2/5 + (-146)/(-10).
14
Suppose 24*v - 50 = 19*v. What is the remainder when 39 is divided by v?
9
Suppose 0 = -5*s + 4*x + 61, -6 - 5 = -s + 2*x. What is the remainder when 36 is divided by s?
10
Suppose 5*v + 4 + 11 = 0. Let q(s) = -2*s**3 + s**2 + 4*s + 3. Calculate the remainder when q(v) is divided by 14.
12
Suppose 0 = -0*t - 4*t + 44. What is the remainder when t is divided by 3?
2
Suppose 0 = -3*g + 3*r + 102, g - 4 = -5*r + 36. Calculate the remainder when g is divided by 9.
8
Suppose -4*l - 63 = -3*m, 4*m + 2*l - 63 = m. Calculate the remainder when m is divided by 8.
5
What is the remainder when 26 is divided by (-4 - (7 - 13))/((-2)/(-10))?
6
Let t = 0 + 2. Let o(y) = -2*y**2 + 3*y - 2. Let j be o(1). Calculate the remainder when (-1)/(j/(0 - -4)) is divided by t.
0
Suppose g - 2*g = 4*q - 35, -4*g - 4*q = -176. Calculate the remainder when g is divided by 12.
11
Let q be 3 - (-3)/(12/(-8)). Calculate the remainder when q/4 - (-668)/16 is divided by 15.
12
Suppose 27*a = 23*a + 16. What is the remainder when 6 is divided by a?
2
Suppose 360 = -3*b + 417. Suppose 2*i = 5*i - 21. Calculate the remainder when b is divided by i.
5
Calculate the remainder when 29 is divided by -2 - (1 - 18) - 0.
14
Suppose d = -2*d + 9. Suppose -4*a = -u - 3*a + 114, 4*u - d*a = 454. Suppose 6*g = 2*g + u. What is the remainder when g is divided by 15?
13
Suppose 2 - 17 = -5*w. What is the remainder when 7 is divided by (27/(-9))/(w/(-2))?
1
Suppose 3*s = -2*s + 4*u + 1, -4*u = -4*s. Let w = 5 - s. Let x(h) = h**2 + h + 11. What is the remainder when x(0) is divided by w?
3
Let k(w) = w - 6. Let t be k(10). Suppose 0 = 3*g - t*m - 126, -3*g = -4*g + m + 41. Calculate the