 -x - 2*h + 130. What is the remainder when x is divided by g?
8
Let l(t) = -3*t + 2. Let o be l(-2). Suppose -g + 15 = -o. What is the remainder when 89 is divided by g?
20
Suppose 3*w - 38 = -2*g, g = 4*w - 0*w - 36. Calculate the remainder when w is divided by 6.
4
Let x(u) = u + 12. Let m be x(-5). Suppose -130 = -3*l - 4*f, 3*l + 3*f = m + 119. Let w(b) = 2*b + 3. Calculate the remainder when l is divided by w(5).
12
Suppose -3*l - 3 = -15, -4*l = -p - 2. Let s(w) = 3*w**2 - 4*w - 2. What is the remainder when s(5) is divided by p?
11
Let w = 14 - 3. Suppose 0 = -3*r - 7 + 16. Suppose 0 = 3*m + 2*c - 12, -r*m = m - 3*c - 33. Calculate the remainder when w is divided by m.
5
Let x(b) be the first derivative of b**4/4 + 11*b**3/3 + 13*b + 5. What is the remainder when 37 is divided by x(-11)?
11
Let g = 14 + 2. Suppose -5*o + g = -64. Calculate the remainder when 30 is divided by o.
14
Let d = -7 + 7. Suppose d = -5*v + 4*f + 148, -5*v + v + 5*f + 122 = 0. Suppose 0*l - 5*l = -75. What is the remainder when v is divided by l?
13
Suppose -5*v + 3*d + 15 = -31, -3*d - 22 = -2*v. Let b be 80/6 + 3/(-9). Let l = b - -10. What is the remainder when l is divided by v?
7
Suppose 2*c = b + 97, 5*c - 5*b + 72 = 312. Suppose -19 = 3*p - c. Calculate the remainder when -2 + 30*(2 - 1) is divided by p.
8
Let d = -96 - -135. Calculate the remainder when 154 is divided by d.
37
Suppose 139 - 419 = -4*d. Let l = -117 - -135. What is the remainder when d is divided by l?
16
Suppose -4*s + 5*s + 28 = 0. Let y = 39 + s. Calculate the remainder when 43 is divided by y.
10
Let f(g) = g + 32. What is the remainder when 43 is divided by f(-17)?
13
Let y(o) = -o**3 - 27*o**2 + 19*o - 3. What is the remainder when y(-28) is divided by 50?
49
Let u be (-6)/27 + (-76)/(-18). Let f = 1 + u. What is the remainder when 18 is divided by f?
3
Let a = 36 + -31. What is the remainder when 7 is divided by a?
2
Let m = -65 - -87. What is the remainder when 41 is divided by m?
19
Let c(x) = x**3 + 4*x**2 + 2*x + 3. Let i be c(-3). Suppose i*k - 56 - 16 = 0. Calculate the remainder when 45 is divided by k.
9
Suppose 4*z - 7 = 1. Suppose m = z*m - 5. Calculate the remainder when 12 is divided by m.
2
Suppose -16 = 4*n - 48. Let f = 0 + 22. Calculate the remainder when f is divided by n.
6
Suppose -3*m = 5*j - 379, 100 + 42 = 2*j - 2*m. What is the remainder when j is divided by 15?
14
Let i(t) = -t**2 + 9*t - 5. Let x(v) = 2*v**2 - 1. Let h be x(1). Let j be (3 - (-1)/h)/1. What is the remainder when i(j) is divided by 8?
7
Let w = -10 - 5. Let z = 3 - w. Calculate the remainder when 53 is divided by z.
17
Let g = -50 - -72. Calculate the remainder when g is divided by 6.
4
Let j = -6 - -16. Let y be 23*(-1 + 0)/(-1). Suppose 0 = 3*x - 110 + y. What is the remainder when x is divided by j?
9
Let a(y) = -2*y**3 - 5*y**2 + 3*y. Suppose 8 = -2*s + 28. What is the remainder when a(-4) is divided by s?
6
Let m be (-6)/(-5)*(-5)/(-2). Suppose -3 = 2*r + r. What is the remainder when 14 is divided by (2 - r) + (5 - m)?
4
Calculate the remainder when (-1 - 3/6*-1)*-76 is divided by 10.
8
Suppose 5*o + 4*x - 7 = 165, -4*o + 131 = x. Calculate the remainder when o is divided by 17.
15
Suppose 0 = -3*k + 4*b + 388, -3*b = 5*k + 2*b - 600. Calculate the remainder when k is divided by 25.
24
Suppose z = -4*z + 5, d - z - 30 = 0. What is the remainder when d is divided by 8?
7
Let k(b) = -4*b**3 + b**2 + b - 1. Calculate the remainder when k(-2) is divided by 9.
6
Let g(n) = -n + 1. Let h be g(-1). Let y = 0 + h. Suppose j = -j + 10. Calculate the remainder when j is divided by y.
1
Suppose 3*r = -48 + 120. What is the remainder when 70 is divided by r?
22
Calculate the remainder when 1560/27 + (-8)/(-36) is divided by 12.
10
Let i = 21 + 5. Let k(c) = -c**3 + 12*c**2 - 10*c - 2. Let a = -16 + 27. Calculate the remainder when i is divided by k(a).
8
Suppose -67 = -8*c + 53. Calculate the remainder when 73 is divided by c.
13
Let j(n) = n**3 - 8*n**2 - 9*n + 4. Let i(q) = 5*q - 1. Let d be i(2). Let v(l) = -l**3 + l**2 + l + 2. Calculate the remainder when j(d) is divided by v(0).
0
Let b = -6 - -4. Let o be 4 - (-3 - b)*-2. Suppose -o*a = -a - 20. Calculate the remainder when a is divided by 7.
6
Let r be (-4)/(-6) - (-78)/(-9). Let l = 60 - 39. What is the remainder when l is divided by (r + 2)*12/(-9)?
5
Suppose -5*u + 10*u - 655 = 0. Suppose -4*p + u = -121. What is the remainder when p is divided by 33?
30
Suppose -i - 2*i = -4*q + 39, 0 = -q + 3*i + 3. What is the remainder when 22 is divided by q?
10
Suppose 0 = 5*m - 10. Suppose -4*r + 5*t + 39 = 0, 3*r - 4*t - 38 = -m*t. Calculate the remainder when r is divided by 6.
4
Let p be -2 + 7 - 1 - 1. Suppose 5 = -5*d - 10*w + 5*w, -w = p*d - 5. Calculate the remainder when d is divided by 2.
1
Let v(r) = -r**3 - 6*r**2 + 3*r. Let h = -17 + 10. Calculate the remainder when 53 is divided by v(h).
25
Let k(v) = -v**2 - 12*v - 8. What is the remainder when 23 is divided by k(-10)?
11
Let s(m) = m**2 - 7*m + 6. Calculate the remainder when s(11) is divided by 13.
11
Let i(f) = f**2 - 3*f + 7. Let a(n) = n**2 - n - 4. Let u be a(-3). Let w(t) = t**3 - 7*t**2 - 7*t - 2. What is the remainder when i(5) is divided by w(u)?
5
Suppose 3*u = o + 16 + 6, -3*o + u - 26 = 0. Let g be 2/o + (-4)/(-14). Suppose 2*r + r - 69 = g. Calculate the remainder when r is divided by 8.
7
Suppose 101 = 4*n - 35. What is the remainder when n is divided by 11?
1
Let w(o) = -o - 8. Let p be w(-10). Suppose 20 = -0*v + 2*v. Calculate the remainder when (-58)/(p*(1 - 2)) is divided by v.
9
Let a be (2 - 2)/(2/1). Suppose 2*i - 69 = -i + 2*f, -3*i + 69 = 2*f. What is the remainder when i is divided by -4*(-1 + -1 + a)?
7
Let u(i) = 5*i - 7. Let o be u(5). Let s = o + -12. Calculate the remainder when 9 is divided by s.
3
Let j = 69 + -12. Suppose -5*l - j + 182 = 0. What is the remainder when 73 is divided by l?
23
Suppose 21 = 6*b - 45. What is the remainder when b is divided by 3?
2
Let m(i) = 6*i - 2*i - 11 - 2*i. Let l be 3/(3/(-18)*-2). Calculate the remainder when m(l) is divided by 2.
1
Let t(u) = -u**3 + 2*u**2 - 2. Let n(r) = r**2 - 5*r + 2. Let j be n(4). Let i = 2 + 24. What is the remainder when i is divided by t(j)?
12
Let h(x) = -3*x**2 - 2*x - 7. Let q be h(-6). Let y = -14 - -22. What is the remainder when 2/7 + q/(-7) is divided by y?
7
Calculate the remainder when 68 is divided by 3/(-7) - 4592/(-196).
22
Suppose 3*v + v + 4*h - 244 = 0, 3*h = 9. Calculate the remainder when v is divided by 15.
13
Let x be 2/(-2)*1*-5. Suppose -p + 0 = -x. Calculate the remainder when 9 is divided by p.
4
Suppose 6 = 5*k - 2*k. Let y = -40 + 45. What is the remainder when y is divided by k?
1
Suppose -9*z + 307 = -71. Calculate the remainder when z is divided by 9.
6
Suppose 1 = f - 1. Suppose -2*x = -x - 1, 0 = -3*u + f*x + 34. Calculate the remainder when u is divided by 7.
5
Suppose s - 23 = -n, 5*n - 136 = -s + 3*s. Suppose 5*j - 19 = -4*c, -j + 5 = -c - 6. Calculate the remainder when n is divided by j.
5
Let s(p) = -p + 1. Let f be s(-6). Let a(k) = 4*k - 6. Let u be a(f). Suppose -3*w + w + u = 0. Calculate the remainder when 20 is divided by w.
9
Let t = -22 - -35. Calculate the remainder when t is divided by 8.
5
Let r = -1 + 43. What is the remainder when 164 is divided by r?
38
Suppose -2*a = -5*q, 5*q = 3*a - 3 - 7. Calculate the remainder when (-10 + 0)*(-42)/15 is divided by a.
8
Suppose 3*n = -5*d + 2, n = d - 4*n - 6. Suppose 2*y = -3 + d. Let z(p) = -31*p - 1. What is the remainder when z(y) is divided by 16?
14
Let q(x) = x + 9. Let l be q(-10). What is the remainder when 45 is divided by (-91)/(-4) - l/4?
22
Let v = 82 - 62. Calculate the remainder when 114 is divided by v.
14
Let a = -151 - -332. Let d = -120 + a. What is the remainder when d is divided by 21?
19
Let a = -8 + 10. Suppose 5*s = 0, -3*c - c = -a*s - 24. What is the remainder when 22 is divided by c?
4
Let w be 4/14 - (-40)/7. Suppose w*m = 3*m - 69. Let n = -8 - m. Calculate the remainder when 29 is divided by n.
14
Let c = 1 - -8. Let v be 9/3 + c - 2. Suppose 5*r = 80 + v. Calculate the remainder when 51 is divided by r.
15
Suppose 161 = 3*c + 65. Suppose 63 = 10*v - 107. Calculat