by -24 + -1 + 13 - -109?
91
Suppose 30 = 4*g - 5*h, 4*g - 41 = 2*h - 17. What is the remainder when 104 is divided by g?
4
Suppose -4*d - b + 12 = 3*b, 0 = b - 1. Suppose d*s + 5 = 9. Calculate the remainder when s is divided by 2.
0
What is the remainder when 148 is divided by 42 - ((-2 - -6) + 3/(-3))?
31
Let i(s) = 132*s - 8701. Let r = 6 - 2. What is the remainder when i(66) is divided by r?
3
Let d(x) = 2*x**3 - 14*x**2 - 10*x + 15. What is the remainder when 175 is divided by d(8)?
49
What is the remainder when (-3 + (-1398)/(-42))*42/12 is divided by 29?
19
Calculate the remainder when 48 is divided by 4 - (-6 + 9/(-3) + 0).
9
Suppose 2*y + 2*y - 30 = -3*a, -5*a = -5*y - 85. Suppose 0 = 6*o - 5*o + 5. Let p(q) = q**2 + 5*q + 7. Calculate the remainder when a is divided by p(o).
0
Let r = 2768 + -2760. Calculate the remainder when 26 + (2/1 - 0) is divided by r.
4
What is the remainder when (-4 + 1)*248/(-3) is divided by 36?
32
Suppose 0 = -5*a + 46 + 154. Let n = 45 + a. Calculate the remainder when n is divided by 23.
16
Suppose -7 = c - 3*y - 57, -4*y = -3*c + 155. What is the remainder when c is divided by ((-8)/2)/(8/(-12))?
5
Suppose g + 2*r = 10, 2*g + 0 - 17 = -3*r. Suppose 0 = g*i + 84. Calculate the remainder when 21 is divided by (56/i)/(6/(-9)).
1
Let p(g) be the second derivative of g**5/20 - 5*g**4/12 + 7*g**3/3 - 3*g**2/2 + 8*g. What is the remainder when p(6) is divided by 15?
12
Suppose 0 = 2*v + 3 - 47. What is the remainder when v is divided by (2/(-1))/6*6 + 14?
10
Suppose -4*g + 3591 - 380 = 5*a, -5*a + g = -3216. What is the remainder when a is divided by 27?
22
Let z(f) = 4*f + 1. Let g = -6 - -8. Suppose -5*s + 88 + 37 = 0. What is the remainder when s is divided by z(g)?
7
Let f(m) = -4 + 21 - 2*m - 11 + 20. What is the remainder when 12 is divided by f(11)?
0
Let p be -3 - (-1 + -1 - 1). Suppose z + 3*z + 8 = p, 0 = -3*v - 4*z - 8. Suppose v = 4*x - 47 - 5. Calculate the remainder when 62 is divided by x.
10
Suppose 4*o + 6 = 2*n - 4, 1 = -o + 2*n. Let g(r) = 5*r**2 + 5*r - 4. Let k(x) = x**3 + 8*x**2 + 5*x + 1. Calculate the remainder when k(-5) is divided by g(o).
25
Suppose 71 = 4*q - 121. Suppose 4*u = 28 + q. Suppose -3*s + u = 5*z, 3*s + 4 = s + 5*z. Calculate the remainder when 10 is divided by s.
1
Let w(i) = 10*i**2 + 0*i**3 - i**3 + 26*i - 24*i + 14 + 0*i**3. What is the remainder when w(10) is divided by 12?
10
Let k(s) = s + 11. Let l(b) = 2*b + 21. Let r(w) = -5*k(w) + 3*l(w). Let f be r(-6). Suppose 7*a = f*a + 40. What is the remainder when 30 is divided by a?
6
Suppose 3*g = 5*n - 116, -n + 5*n + 3*g = 109. What is the remainder when n is divided by -21*-2*1/6?
4
Let d(o) = 3*o**3 - o**2 - o + 2. Let x be d(2). Let l = -8 + x. Calculate the remainder when 0 + 0 - (-29 - -6) is divided by l.
11
Let y = -556 - -355. Let l be (-12)/(-28) - y/21. Calculate the remainder when 9 is divided by (-1 + 3)/(4/l).
4
Let k(s) = -3*s**2 - s**3 + s**2 + s - 3 + 4 - 3. Let y be k(-3). Suppose -y*a + x + 27 = -59, -2*a - 5*x = -54. Calculate the remainder when a is divided by 8.
6
Suppose -16992 = 10*u - 17642. Calculate the remainder when u is divided by ((-11)/(-3))/((-1)/(-3)).
10
Suppose -3*k = -2*h - 1 - 0, -28 = h + 4*k. Let x = h + 36. Calculate the remainder when 83 is divided by x.
27
Let b(o) = 29*o - 12 + 14 - 39*o. Calculate the remainder when b(-3) is divided by 5.
2
Suppose -k + 9 = 5*w + k, 4*k + 24 = 4*w. Suppose 0 = w*f + 15, -h + 3*f = -43 - 9. Suppose 12 - h = -5*p. Calculate the remainder when p is divided by 3.
2
Let w = -241 + 127. Let u(a) = -12*a**2 - a + 1. Let v be u(-2). Let b = v - w. Calculate the remainder when b is divided by 18.
15
Let t(m) = -8*m + 16. Let s be t(-12). Let n = s - 72. Calculate the remainder when 76 is divided by n.
36
Let w = -1 + 2. Let k(t) be the third derivative of 11*t**6/60 + t**4/12 - t**3/6 + 2*t**2. What is the remainder when 44 is divided by k(w)?
21
Let m(z) = -2*z**2 + 4*z + 41. Calculate the remainder when 119 is divided by m(0).
37
Let v = 10 + 55. Let u(d) = -d**3 - 8*d**2 + 10*d + 13. Let p be u(-9). Let q(y) = -y**2 + 8*y + 1. Calculate the remainder when v is divided by q(p).
14
Let n = -670 + 780. What is the remainder when n is divided by 13?
6
Let c = 24 + -19. Suppose -2*b + c = -b. Suppose -51 = -4*o + 25. Calculate the remainder when o is divided by b.
4
Suppose -4*z = -4*b - 360, 5*z + b = 26 + 418. Calculate the remainder when z is divided by 23.
20
Let r(n) = n**3 + n - 4. Let p be r(0). Let u be (-2)/2 + p + 6. Calculate the remainder when 56/(3 + 1)*u is divided by 5.
4
Let s(c) = 14 + 139*c - 80*c + 2*c**2 - 76*c. What is the remainder when 18 is divided by s(8)?
0
Suppose 0 = 5*t - 4*b - 126, -3*t + b + 45 = -32. Calculate the remainder when 151 is divided by t.
21
Let p(t) = t**2 - 4*t - 40. Calculate the remainder when 342 is divided by p(14).
42
Suppose 5*o + 0 = 10, 3*v - 28 = -11*o. Suppose -5*n + w = -3*w - 24, 0 = -5*n - 2*w + 18. Calculate the remainder when n is divided by v.
0
Let i(u) = 4*u + 104*u**2 - 2 - 6*u - u. Calculate the remainder when i(-1) is divided by 27.
24
Suppose 0 = -5*c + 277 - 32. What is the remainder when 142 is divided by c?
44
Suppose -2*d + 37 = 3*u, 0 = -5*u - 7*d + 11*d + 69. Suppose 0 = 3*y + 159 - 384. What is the remainder when y is divided by u?
10
Suppose -2*h = 128*h - 8450. Calculate the remainder when h is divided by 302/18 - (-4)/18.
14
Suppose 12*z - 452 = 160. What is the remainder when 177 is divided by z?
24
Suppose -12*q = -q - 1177. Calculate the remainder when q is divided by 10.
7
Let l = 10 + 33. Suppose -2*v - 607 = -629. Calculate the remainder when l is divided by v.
10
Calculate the remainder when 44 is divided by ((-35)/(-21))/(5/24).
4
Suppose 222 = -5*q - 3. Let f = q - -51. Let h = 1 - -8. What is the remainder when h is divided by f?
3
Suppose -2*v + 5*v - 27 = 0. Let y = 208 + -202. What is the remainder when v is divided by y?
3
Let q(g) = -5*g + 7. Let x be q(-11). Let d = x + -3. What is the remainder when d is divided by 10?
9
Let g(f) = -8*f + 6. Let h(u) = u**2 - 9*u - 39. Let t be h(12). Calculate the remainder when g(t) is divided by 9.
3
Suppose 2*j - 3*j - 4 = 0, 4*k - 2*j - 1284 = 0. What is the remainder when k is divided by 10?
9
Suppose 0 = -66*n + 24*n + 504. Calculate the remainder when 18 is divided by n.
6
Let j(g) = g**2 + 21*g + 80. What is the remainder when j(-19) is divided by 5?
2
Let h be (-846)/45 - 1/5. Let a = -17 - h. Suppose a*m - 32 = 3*c, 2*m + 0*c = c + 24. Calculate the remainder when m is divided by 6.
4
Let o(s) = 2*s**2 - 8*s - 4. Let r be 27/9 + (-2)/2. Suppose 3*l - r*w + 0*w - 8 = 0, -w - 19 = -4*l. Calculate the remainder when 79 is divided by o(l).
19
Let u = -314 - -169. Let s = u + 244. What is the remainder when s is divided by 1*75/12*4?
24
Suppose 56 = p + 3*c - 1, p = -c + 55. What is the remainder when p is divided by 35?
19
Suppose 370 = 5*n - 5*c, 0 = 5*n - 4*c - 463 + 91. Let q(u) = 0 + 1 + 2*u + 2. Calculate the remainder when n is divided by q(5).
11
Suppose 4*r = -5*l + 4*l - 8, 5*r - 3*l = -10. Let k(s) = s**3 - 4*s + 7*s + 4*s**2 - 5*s**3. Calculate the remainder when k(r) is divided by 15.
12
Suppose 5*v + 0*v + 20 = 0. Let b = v + 7. Suppose -b*u = k - 7*u - 83, -3*k + 219 = -2*u. What is the remainder when k is divided by 24?
23
Suppose -4*d + 0*s - 2*s = -124, 5*d - 155 = -4*s. Suppose -d*g = -33*g + 32. What is the remainder when 75 is divided by g?
11
Suppose -j - 5 = 0, -7*j - 13 = 2*s - 4*j. Let z be (-5)/2*(-30)/25. Suppose -2*q - 2*b + 8 = 0, z*q + b = -b + 9. What is the remainder when s is divided by q?
0
Let g(c) = c**2 - c + 4. Let x be g(0). Suppose 10*z + 86 = 116. What is the remainder when 0/2 - x/(-1) is divided by z?
1
Let n(d) = 2*d + 6. Let z = -30 + 34. Suppose p - 1 = -2*o, 5*p = -4*o + 27 - 10. Calculate the remainder when n(z) is divided by p.
4
Suppose -11*z = -10*z + 4. What is the remainder when 3 is divided by z/(-3)*15/20?
0
Let r(v) = -29*v - 256. What is the remainder when r(-14) is divided by 73?
4
Let v = -7 - -9. Suppose 11 = v*b - 3. What is the remainder when 11 is divided by b?
4
Suppose -3*m + 3*w = -2*w + 10, 0 = -5*m - 2*w - 58. What is the remainder when 3 is divid