h = 5*d - 110, 0*d = -2*h - d + 94. What is the remainder when h is divided by 12?
9
Suppose w + 4 = -w - 4*h, 0 = 2*w + h + 1. Suppose w = -4*b + 35 + 1. Calculate the remainder when b is divided by 5.
4
Let o(w) = -18 + w**3 + 49 + 7*w**2 - 2*w**2. Let d(p) = -p**3 - 4*p**2 - 31. Let i(r) = -6*d(r) - 5*o(r). What is the remainder when i(0) is divided by 16?
15
Let h = 14 - -6. Let s = h + -4. Suppose l + 0 = s. What is the remainder when 31 is divided by l?
15
Let j = 8 + -5. Let f = 6 + j. What is the remainder when 15 is divided by f?
6
Let g = 84 - 22. What is the remainder when g is divided by 21?
20
Let d be (5/3 - 2)*-6. Suppose -d*f = f - 84. Calculate the remainder when f is divided by 15.
13
Let s(d) = -6*d - 3. Suppose -4*v + 14 - 26 = 0. Calculate the remainder when 43 is divided by s(v).
13
Suppose 0 = 2*p - 6*p + 4*r + 128, 4*r = -16. What is the remainder when 82 is divided by p?
26
Let b(v) be the third derivative of v**5/60 + 5*v**4/12 + v**3/6 + 6*v**2. What is the remainder when 32 is divided by b(-11)?
8
Suppose a + 24 = 3*o + 4*a, -4*o + 2*a + 8 = 0. What is the remainder when 17 is divided by o?
1
Suppose 0 = -5*b + n + 21 + 17, n + 24 = 3*b. What is the remainder when 27 is divided by b?
6
Let k = 43 + -30. Suppose 0 = -4*a + r + 34 - 1, 2*a - k = -3*r. What is the remainder when 22 is divided by a?
6
Suppose -5*q - 54 = -c - 7, -5*c + 208 = 2*q. What is the remainder when c is divided by 15?
12
Let k = 73 - 56. Calculate the remainder when k is divided by 6.
5
Let h = 10 - 6. What is the remainder when 6 + 2 - (-2)/1 is divided by h?
2
Let w(p) = 4*p**2 + 22*p + 23. What is the remainder when w(-8) is divided by 53?
50
Let u(l) = -l + 8. Let o be u(-6). Let j = o + -10. What is the remainder when 5 is divided by 8/(-10)*(-10)/j?
1
Suppose 4*h = y + 61, y + 77 = 6*h - h. Suppose 38 = 5*m + p - 27, 0 = -4*p. Let a = m + -7. Calculate the remainder when h is divided by a.
4
Suppose -5*g + 3*g + 14 = -b, -g = 2*b - 12. Calculate the remainder when g is divided by 5.
3
Let h = -10 - -30. Calculate the remainder when 52 + 3 + 4/2 is divided by h.
17
Suppose -3*q + b + 5 = 0, -3*b = -q - 4 + 3. Let r = 13 + -10. Calculate the remainder when r is divided by q.
1
Let n(x) = -3*x**2 - 9 + 8*x**2 + x**3 + x**2 + 12 + 5*x. Let j(a) = -a - 20. Let b be j(-16). Calculate the remainder when 44 is divided by n(b).
14
Let t = -28 - -92. Suppose -o = -3*o + t. Calculate the remainder when o is divided by 17.
15
Let z = -36 - -47. What is the remainder when 1/(-3) + 122/6 is divided by z?
9
Let h(v) = 220*v**2 - 2*v - 1. Let f be h(-1). Let w = f + -55. Calculate the remainder when (-4)/(-10) + w/10 is divided by 9.
8
Suppose -l - 4 + 16 = 0. Suppose -2*v + v = 0. Suppose -3*b - 2*a + 5*a + 108 = v, 3*b - 5*a = 112. Calculate the remainder when b is divided by l.
10
Let h(s) = 3*s + 2. Let d be h(2). Let i(c) = -9*c + 2*c**2 + 2 + 2*c - c**2. Calculate the remainder when i(d) is divided by 6.
4
Let o(v) = 3*v - 11. Let l be o(9). Let t = l + -8. Suppose 5*w = w + t. Calculate the remainder when 5 is divided by w.
1
Suppose 2*u - 2 = -j + 3*u, 5*u - 8 = -4*j. Suppose -104 = -5*f - 6*s + j*s, -3*f = -2*s - 80. Let r = -3 - -16. What is the remainder when f is divided by r?
11
Let z(a) = 7*a**3. Let p be z(2). Suppose 3*y - 177 = -3*w, 2*w = y - p + 186. What is the remainder when w is divided by 16?
15
Let r = 620 + -419. What is the remainder when r is divided by 17?
14
Suppose 2 - 5 = -m. Let g = 33 - 17. Suppose -g = -5*k + 3*k. Calculate the remainder when k is divided by m.
2
Suppose 0*m = 5*m - 115. Suppose -g = 4*f + 4*g - 39, -5*g + m = 3*f. Suppose -24 - 12 = -4*q. Calculate the remainder when f is divided by q.
7
Suppose 0*r - 5*r + 17 = 2*o, 4*r + 4*o = 16. Suppose 96 = -0*q + 4*q. Suppose q = 3*g + r*z + 3, 5*g = -2*z + 29. What is the remainder when 8 is divided by g?
3
Let n(p) = -p**3 - 7*p**2 - 6*p + 1. Let r be n(-6). Let k be 20/(-8) + r/(-2). What is the remainder when 12/2 - (k + 2) is divided by 2?
1
Let p = 0 - 6. Let s(m) = m**3 + 6*m**2 - 3*m + 7. Calculate the remainder when s(p) is divided by 7.
4
Suppose -2*q + 0*q = -152. Calculate the remainder when q is divided by 21.
13
What is the remainder when -2 + 1*22 + (-1)/1 is divided by 7?
5
Suppose 0 = -5*m + 4*b + 65, -22 + 9 = -m + 2*b. Calculate the remainder when 22 is divided by m.
9
Let k = -54 - -73. What is the remainder when k is divided by 10?
9
Let s(v) = 14*v + 5. Calculate the remainder when 8/6*162/4 is divided by s(1).
16
Suppose 0*d = -4*j + 3*d + 5, 2*j - 4*d + 10 = 0. Suppose 4*q - j = -l + 4, -5*l + 5*q = -70. What is the remainder when l is divided by 4?
1
Suppose 0 = -2*u - 3*s - 0*s + 22, -s = 4*u - 24. Let x(n) = n + 4. Let k be x(-4). Suppose -u*b + 65 + 80 = k. What is the remainder when b is divided by 10?
9
Let m = -2 - -2. Suppose m = 2*s - 2 - 4. Suppose -3*k + 9 = -s. What is the remainder when 11 is divided by k?
3
Suppose -4 = -4*o + 8. Let t(w) = 3*w + 3. Let d be t(o). Calculate the remainder when (52/(-6))/(d/(-18)) is divided by 7.
6
Let q(t) = t**2 + t + 16. Suppose -11*j = -9*j - 94. What is the remainder when j is divided by q(0)?
15
What is the remainder when 43 is divided by 2/(-7) + (-107)/(-7)?
13
Suppose 4*y - a - 294 = -94, 0 = 3*a. Let z = y - 24. Suppose -4*k + 38 = 2. Calculate the remainder when z is divided by k.
8
Suppose 2*l = 3*l - 10. Let f = l + -7. What is the remainder when f is divided by 2?
1
Let r be -1 - (-4)/1*1. Suppose -5*f + 8*f - 12 = r*h, 4*f - 22 = 5*h. Calculate the remainder when (-16)/(-1 + (-3)/h) is divided by 11.
10
Suppose -143 = -g - 2*w, -5*g + 6*w + 715 = 7*w. Calculate the remainder when g is divided by 29.
27
Let x(o) = o**3 + 12*o**2 + 14*o + 2. Suppose 2*y = 4*y, -y + 32 = 2*c. What is the remainder when x(-10) is divided by c?
14
Let s = 111 - 76. Let j = s + -15. What is the remainder when 59 is divided by j?
19
Let k = 1 + 3. Let s = k + -3. What is the remainder when 30 is divided by 68/8 + s/(-2)?
6
Let c = -3 - -22. Calculate the remainder when c is divided by 10.
9
Suppose -4*r = 2 - 10. Suppose -w + 9 = -2*g, -r*w + 6*w + g = 36. What is the remainder when 15 is divided by w?
6
Let q = -15 + 27. Let d(r) = -r**2 + 16*r - 14. What is the remainder when d(12) is divided by q?
10
Suppose -n - n = -6. Suppose -9 = -n*r + 138. Calculate the remainder when r is divided by 13.
10
Let u = -13 - -10. Calculate the remainder when (-3)/u - 2 - -5 is divided by 3.
1
Let o(h) = -h**2 + 14*h - 25. What is the remainder when 27 is divided by o(10)?
12
Let z(r) = -r**3 + 14*r**2 + 2*r + 8. Calculate the remainder when z(14) is divided by 13.
10
Suppose -5*s - 80 = -5*f, 2*s + 20 + 24 = 3*f. Suppose 5 = -q + 8. Let y = f - q. Calculate the remainder when 33 is divided by y.
6
Let i(w) = w**2 + 3*w - 9. Let t be i(-8). Let h = t - 5. Let d = -4 - -18. What is the remainder when h is divided by d?
12
Let d(i) = -4*i. What is the remainder when 71 is divided by d(-6)?
23
Let u(c) = c**2 - 10*c + 5. Let x(n) = -n**2 + 5*n. Let z be x(4). What is the remainder when 1 - -10 - (z - 5) is divided by u(10)?
2
Let y(j) = 7*j - 3. Let w be y(2). Let p = w - 0. What is the remainder when p is divided by 4?
3
Let b be 0 - -2*(-2)/4. Let g = 50 + b. Calculate the remainder when g is divided by 17.
15
Suppose 5*m - 2*m = g - 22, g - 16 = 2*m. Let x(y) = -y**2 - 8*y - 10. Calculate the remainder when x(m) is divided by 1.
0
Let n be 0 + -2 + 1 + -2. Suppose -11 = 4*t + 5*p, 0*t - 5*p = -t + 16. Let h = t - n. Calculate the remainder when h is divided by 3.
1
Let c(v) be the third derivative of 1/3*v**4 + 0 - 1/60*v**5 + 0*v - 3*v**2 + 4/3*v**3. Calculate the remainder when c(7) is divided by 6.
3
Suppose 2*m = -10, q - 6*m - 37 = -3*m. Calculate the remainder when q is divided by 12.
10
Suppose l - 4*m = 35, 0*l = -3*l - 2*m + 119. What is the remainder when 115 is divided by l?
37
Let t(y) = -y**2 + 7*y. Suppose 0 = 2*c - 18 + 8. Suppose 6*w - 30 = w. Calculate the remainder when t(c) is divided by w.
4
Let g = 23 - 23. Suppose -2*f + 5*f - 90 = g. Calculate the remainder when f is divided by 11.
8
Let t(d) = -d**3 + 4*d**2 + 4*d - 1. Let j be t(4). Let f = 18 - j. What is the remainder when 20 is divide