 67 is divided by ((-2788)/123 + 1/3)*-3.
0
Suppose 40 = 4*c - 5*f, -5*c - 4*f = -f - 50. Let v(y) = 2 + y + 4 + 0*y. What is the remainder when 62 is divided by v(c)?
14
Suppose 0 = r - 2*z + 20, -4*r - 125 = 2*z - 45. Calculate the remainder when 13 is divided by ((-24)/20)/(6/r).
1
Let j(i) = 2*i**2 + 157*i + 804. Calculate the remainder when j(-5) is divided by 4.
1
Let d be 40/(-100) + (-2024)/(-10). Let j = d - 141. Calculate the remainder when j is divided by 16.
13
What is the remainder when 29 is divided by (-1)/(-1 - 1) + 30/4?
5
Let g be -3 + (3 - 4)*-9. Suppose -2*b + 17 = 8*u - 3*u, g = 3*u - 3*b. Suppose u*z + d - 44 = 9, -z + 23 = -d. What is the remainder when z is divided by 7?
5
Suppose 955 - 87 = 7*r. Suppose r = -10*u + 374. Calculate the remainder when u is divided by 7.
4
Suppose -3*n + 4*w - 5 = -21, 4*n + 3*w - 63 = 0. Calculate the remainder when 23 is divided by n.
11
Suppose v + 26 = 57. Let y = 83 + -66. Calculate the remainder when v is divided by y.
14
Let w(y) = y**3 + 2*y - 3. Let a be w(2). What is the remainder when (12 - a)/(6/68) is divided by 13?
8
Let q(s) = -s**2 - 7*s + 28. Let c be q(-15). Let m = c + 152. Calculate the remainder when m is divided by 31.
29
Let v(b) = 14*b**3 + b**2 - b. Let h = 622 - 1155. What is the remainder when (h/(-39))/(2/6) is divided by v(1)?
13
Let j(t) = -294*t - 37. What is the remainder when j(-6) is divided by 64?
63
Let q(w) = 15*w + 16. Calculate the remainder when q(7) is divided by 31.
28
Suppose 12*f - 2*f + 340 = 0. What is the remainder when 87/(-54)*f + 4/18 is divided by 30?
25
Let b be (-112)/(-21) - 2/6. Let p(j) = -b*j**3 - j**3 - 4*j**2 + 3*j**2. Calculate the remainder when p(-1) is divided by 2.
1
Let j(i) = -17*i - 72. Calculate the remainder when j(-7) is divided by 21.
5
Suppose h = 3*f + 1 + 5, -5*h + 10 = 5*f. Suppose h*g = -2*g + 4*z + 99, 2*g - 5*z = 26. Calculate the remainder when g is divided by 12.
11
Suppose 3*k - t - 1579 = 0, 57*t - 1051 = -2*k + 56*t. What is the remainder when k is divided by 28?
22
Suppose 0 = -15*b + 1190 - 170. What is the remainder when b is divided by 36?
32
Let h(j) = 12*j**2 + j - 1. Let i(c) = -c + 18. Let q be i(17). Suppose 2*w - 5*w = 4*o - 147, -o - 132 = -3*w. What is the remainder when w is divided by h(q)?
9
Let a be 15/1 - (-1 + 3). Suppose a = 4*x - 23. Calculate the remainder when x is divided by (-6)/(-5)*25/10.
0
Let y(x) = -x**3 + 7*x**2 - 2*x + 2. What is the remainder when 152 is divided by y(3)?
24
Let j = 15 - 2. Suppose 9*y - j*y + 204 = 0. What is the remainder when y is divided by 13?
12
Suppose 0 = -5*g - 25 - 45. Let j = g - -16. Suppose -5*f + 21 = j*l - 0*l, -3*l - 5*f + 29 = 0. Calculate the remainder when l is divided by 2.
0
Let p = -96 + 177. Let q(j) = j**2 + 6*j + 21. Calculate the remainder when p is divided by q(0).
18
Let a be -2 + 3 - (0 + -2). Suppose a*o + 9 = 6*o. Suppose -o*p = 5*l - 25, 2*p = p. What is the remainder when 18 is divided by l?
3
Let b(h) = -h**3 - 8*h**2 + 7*h + 47. Calculate the remainder when 109 is divided by b(-9).
44
What is the remainder when 4 + 2 - (-8)/8*311 is divided by 32?
29
Suppose -75 = -14*m + 11*m - 4*q, -5*m = -3*q - 154. What is the remainder when m is divided by 5?
4
Suppose 3*v = 10*v + 217. Let g = 38 + v. Calculate the remainder when 23 is divided by g.
2
Suppose -2*v + 6 + 0 = 0. Suppose v*w + 22 = 343. Let h = w + -33. Calculate the remainder when h is divided by 11.
8
What is the remainder when 6/27 + 192*170/135 is divided by 82?
78
Suppose -3*a = 3*a - 12. Suppose -4*f = -2*y + 14 - 0, -3*f + 28 = a*y. Calculate the remainder when 20 is divided by y.
9
Suppose 3*q - t - 37 = 0, 3*t - 2*t + 63 = 5*q. Calculate the remainder when 76 is divided by q.
11
Suppose 2*b - 8 = j - b, b = j - 2. Suppose -5*l = -k - j, l + k + 0 = -1. Suppose l = 4*z - 15. What is the remainder when 9 is divided by z?
1
Suppose -o - 4 - 5 = -w, -2*w - o + 27 = 0. Let h(f) = -3*f**3 - 3*f**2 + 28*f + 14. Calculate the remainder when h(0) is divided by w.
2
Suppose 4*c + 7 - 23 = 0. Calculate the remainder when c is divided by 6 - ((-819)/(-156) - 2/8).
0
Let c = -2 - -20. Let y(p) = p**3 + 4*p**2 - 13*p - 6. Suppose -4*u = 2*q + 22, -2*q - q = u + 18. What is the remainder when y(q) is divided by c?
16
Let d(h) = 8*h**2 - 16*h + 4. Let z be d(4). Suppose 4*t - 10 - 2 = 0. Calculate the remainder when 20 is divided by 30*(z/20 - t).
8
Let m = -49 + 68. Suppose 4*n - 25 - 23 = 0. What is the remainder when m is divided by n?
7
Suppose -10 = 4*v - 2*v, 5*t = -v + 5. Suppose t*i - 6 = -4*q + 8, -2*i + 3*q = 0. Suppose 0 = -i*o - 6 + 18. Calculate the remainder when 14 is divided by o.
2
Let d be 2/4*16/4. Let j be 6 - 6 - (-2 + d). Suppose -3*b - 5*n + 58 = -j*n, 0 = -4*b + 4*n + 24. What is the remainder when b is divided by 7?
4
Suppose -10 - 8 = -6*u. Let b be -7 + (-4 - 3) + u. Let t = 7 - b. Calculate the remainder when 89 is divided by t.
17
Suppose 2*q = -4*g + 4*q + 46, -76 = -4*g - 4*q. Let v = g - 8. Suppose -t = -4*t + v. Calculate the remainder when 7 is divided by t.
1
Calculate the remainder when (2 + (-2 - 6))*35/(-7) is divided by 16.
14
Let z = 186 + -147. What is the remainder when 131 is divided by z?
14
Suppose -9 - 79 = 5*m - 2*i, 2*i = -5*m - 72. Let o(q) = q**2 - 6*q - 13. Calculate the remainder when o(9) is divided by 46/10 - m/40.
4
Suppose -15 = -4*n + 37. Suppose -62 = 2*j - 322. Suppose 0 = -5*w - 10 + j. What is the remainder when w is divided by n?
11
Let x = -20 + 22. Let p(l) = 4*l + 100 - x*l - 3 - 22. What is the remainder when p(0) is divided by 26?
23
Suppose -5 = -5*z + 5. Let t be ((-6)/4)/((-2)/(160/6)). What is the remainder when z is divided by 4/6*30/t?
0
Suppose 11*h - 8*h = 57. Suppose 89 = -0*a + a - 4*t, -t - 150 = -2*a. What is the remainder when a is divided by h?
16
Let l(s) = s**3 - 2*s**2 + 4*s - 75. Calculate the remainder when l(7) is divided by 29.
24
Suppose -128 = 2*k - 6*k. Let u(v) = -4*v + 2. Calculate the remainder when (k - (0 + 0)) + -3 is divided by u(-2).
9
Suppose -2 = 5*h + 23, 5*f - h = 15. Suppose -36 = -3*k - f*g, 3*k - 48 = -k - 4*g. Calculate the remainder when k is divided by 7.
5
Let b = 1454 - 1428. Calculate the remainder when 75 is divided by b.
23
Suppose -5*w - 25 = -2*x + 26, 0 = -4*x - w + 69. Let u = 15 - x. What is the remainder when 8 is divided by u*(-2)/(2 + 0)?
2
Let l(t) = 3*t + 4. Let d be l(-2). What is the remainder when 17 is divided by (d + 15 + -1)*(-24)/(-72)?
1
Let b = -8 + 16. Suppose -b = -r + 3*a, 4*r + a = -0*r - 33. Let y = 4 - r. What is the remainder when 65 is divided by y?
10
Let f = 4740 + -4725. What is the remainder when (1 - -57*1) + 1 is divided by f?
14
Suppose 115 = -5*u + i + 4*i, -3*u - 4*i - 41 = 0. Let b be ((-2 - u) + -1)/2. Suppose b*v = 10*v - 82. What is the remainder when v is divided by 22?
19
Calculate the remainder when 735 is divided by (140/(-16))/(-1) + (-3)/4.
7
Let w(m) = -20*m - 471. Let h be (-54)/(-15) - 2/(-5). Suppose 8 = h*v, -2*x + 64 = -0*v - 2*v. What is the remainder when x is divided by w(-24)?
7
Calculate the remainder when -12 + 12 + (645 - 4) is divided by 23.
20
Let n(t) = t - 1. Let m(x) = -5*x + 3. Let v(h) = m(h) + 6*n(h). Let i be v(-5). Let u = i + 10. Calculate the remainder when 3 is divided by u.
1
Let z = -28 + 32. Suppose 3*h - 2*t - 82 = -0*t, 0 = 2*h + z*t - 76. Calculate the remainder when 57 is divided by h.
27
Suppose -2*n + 1 = -43. Let t be 2/(-4) + n/(-4). Let y(u) = u + 23. Calculate the remainder when y(t) is divided by 6.
5
Suppose 109 = 19*x - 18*x. What is the remainder when x is divided by 22?
21
Let s = 3 + 7. Let v be -1 - s/(-4)*2. Suppose -5 = -v*b + h - 0, -3*b = -2*h - 5. What is the remainder when 1 is divided by b?
0
Let t = 15 - 13. Suppose -74 = -5*f - t*p, 70 = 5*f - 3*p - 19. Calculate the remainder when ((-2)/3)/((-2)/93) is divided by f.
15
Let g = 237 - 234. Let r(c) be the first derivative of -c**4/4 + 5*c**3/3 - c**2/2 - 4*c + 3. What is the remainder when r(3) is divided by g?
2
Let g = 202 + -207. Let y(q) = 7*q + 67. Let h = 25 + -13. What is the remainder when y(g) is divided by h?
8
Let w(a) = a**3 + 7*a**2 - 31*a - 13. Let z be w(-10). Let y(x) = x**2 - 4*x - 9. What is the re