w.
15
Let t = 403 + -361. What is the remainder when t is divided by 23?
19
Suppose -42 = -0*z - 7*z. Suppose 4*f - 7*f - 4*w + 99 = 0, -5*f + 136 = -3*w. Calculate the remainder when f is divided by z.
5
Let s = 75 + -72. Suppose -24 - 57 = -s*m. Calculate the remainder when 53 is divided by m.
26
Let x = -250 - -313. Calculate the remainder when x is divided by 19.
6
Suppose -14*a + 17*a = 465. What is the remainder when a is divided by 40?
35
Suppose 14*r - 10*r = 12. Suppose -2*o = y - 335, r*o - 158 = -y + 344. What is the remainder when o is divided by 34?
31
Suppose m + 2 = -m. Let r = -13 - -35. What is the remainder when -3 + 89 + 1/m is divided by r?
19
Let b(w) = -5*w + 3*w + 10 + 4*w + w**2 - w. Suppose 4*y + 19 = 3, 0 = -2*k - 3*y + 2. What is the remainder when b(0) is divided by k?
3
Suppose 0 = -3*r - 3*u + 141, -3*r - 2*r - 2*u + 244 = 0. Suppose -162 = -103*h + 97*h. Calculate the remainder when r is divided by h.
23
Suppose -100 = -3*d - 2*k, d = 3*d + 3*k - 70. Suppose 4*f = 66 - 18. What is the remainder when d is divided by f?
8
Calculate the remainder when (-3 + 7)/(-13*14/(-26117)) is divided by 12.
10
Suppose 89 = m + 5*l, -49 = -m + l + 2*l. What is the remainder when 634 is divided by m?
58
Calculate the remainder when 395 is divided by (7/28)/((-5)/(-460)).
4
Suppose 0 = -4*h + 2*m + 96, -3*h + 86 = 2*m - 0*m. Calculate the remainder when h is divided by 4.
2
Let h(j) be the first derivative of -j**4/4 + 11*j**3/3 - 19*j**2/2 + 15*j - 23. What is the remainder when 82 is divided by h(9)?
4
Let h(w) = w**3 + 8*w**2 + 12*w + 17. Let u be h(-7). Let f(b) = 2*b**2 + 32*b - 18. What is the remainder when f(u) is divided by 19?
16
Let d = -369 - -402. Suppose 5*h - 1295 = -5*x, 0 = -4*h - 2*x + 401 + 639. What is the remainder when h is divided by d?
30
Suppose -2*c + 5*i + 117 = 0, -4*c + 0*c - i = -201. Let z be 7 + (-4)/12*0. Suppose 0 = 5*v - 83 - z. What is the remainder when c is divided by v?
15
What is the remainder when 4*340/16 - -4*1 is divided by 13?
11
Suppose v - 2*v = 0. Suppose v = -3*l + 3*q + 64 + 5, 2*q + 65 = 3*l. Let w = -13 + 23. Calculate the remainder when l is divided by w.
9
Suppose -4*s + 29*r + 93 = 32*r, 2*s + 2*r = 46. Let m = -80 + 199. What is the remainder when m is divided by s?
23
Let g(r) = r**3 - 15*r**2 + 2*r - 28. Let c be g(15). What is the remainder when 4/c + 0 + 41 is divided by 11?
10
Suppose f + 4*q + 141 = 6*f, -2*f - 4*q = -62. Let s = f + -18. Let o(d) = 10*d**2 + 3. Calculate the remainder when o(2) is divided by s.
10
Let m = 17 + -9. Let q = m + 14. Suppose -a - 5*t + 4 = -3, 16 = a - 4*t. What is the remainder when q is divided by a?
10
Suppose 0 = -2*o - 8, 0 = 5*k - 5*o - 320. Suppose 0 = 4*c - 20 - k. Let b = 106 - 28. Calculate the remainder when b is divided by c.
18
Suppose 0 = -3*j - 0*j - 3*s + 423, -141 = -j + 2*s. Calculate the remainder when j is divided by 16.
13
Suppose -6*m + 9*m - 3*c - 39 = 0, 3*m = -2*c + 14. Let q(g) = 27*g**3 - g**2. Let w be q(1). Let s = w - 12. What is the remainder when s is divided by m?
6
Let i = 16 - 11. Suppose -s + 0*s = 4, g - 499 = -i*s. Suppose -g = -5*b - 169. What is the remainder when b is divided by 18?
16
What is the remainder when 8/(-92) - (1 - (-5946)/(-138)) is divided by 15?
12
Let m = -174 - -192. Let g = 10 + -6. Suppose 0 = -g*w - 0*w + 136. Calculate the remainder when w is divided by m.
16
Suppose 5*t + 111 = 2*p - 221, 3*p = -t + 498. What is the remainder when p is divided by 44?
34
Suppose -5*u + 4 = -4*u, 52 = 5*r - 2*u. Let g = -2 - 1. Let s = g + r. Calculate the remainder when s is divided by 4.
1
Suppose 7*s - 2*s = -80. Let v(p) = 2*p**2 + 32*p + 22. Calculate the remainder when 41 is divided by v(s).
19
Let l(h) = 6*h - 9. Let v be l(-4). Let o = 49 + v. What is the remainder when 44 is divided by o?
12
Suppose 3*v + 13 = -2*q, 4*v + 9 = -4*q + 3*q. Let d(t) = -4*t - 12. What is the remainder when d(q) is divided by 5?
3
Let z = 101 + -59. Suppose -609 = -3*d - 4*i + i, 2*d - 441 = 5*i. Calculate the remainder when d is divided by z.
40
Let w(o) = o**2 - 23*o - 14. Let x be w(24). Suppose -4*d = x - 26. What is the remainder when 4 is divided by d?
0
Let w(v) = v**3 + 24*v**2 + 19*v + 6. What is the remainder when 104 is divided by w(-23)?
6
Suppose -6*l = 5*d - 4*l - 402, -156 = -2*d + 4*l. What is the remainder when 160 is divided by d?
0
Suppose t - 15 = -29. Let r be (-4)/t - 108/(-14). Suppose 0 = -4*h + 2*d + r + 34, -54 = -3*h - 3*d. What is the remainder when h is divided by 7?
6
Suppose -5*b = 4*p - 25, -3*b - 4*p = 1 - 16. Suppose b*a + 21 = 116. What is the remainder when 73 is divided by a?
16
Let r = 1 - -3. Suppose 5*q - 5*t = q + 59, -2*q + 10 = r*t. What is the remainder when (-123)/(-2)*(-2)/(-3) is divided by q?
8
Let a = 82 - 50. Suppose 3*w + 52 - 237 = -q, w + 4*q - 58 = 0. Calculate the remainder when w is divided by a.
30
Suppose -2*r + 8*r = -324. Let l = r + 89. Calculate the remainder when l is divided by -8*6/8*-2.
11
Let a = 706 - 693. Calculate the remainder when 2260 is divided by a.
11
Suppose -4*p - i - 2448 = -8337, -2*p + 3*i = -2955. What is the remainder when p is divided by 22?
21
Let k(b) = -b**3 - 40*b**2 - 42*b - 88. What is the remainder when (7 - -3)*23/2 is divided by k(-39)?
28
Suppose -s + 3 = -0. Let l(x) be the second derivative of 9*x**3/2 + x**2/2 + 5*x - 1. Calculate the remainder when l(s) is divided by 28.
26
Let k(l) be the third derivative of l**4/4 - 5*l**3 + 11*l**2. Calculate the remainder when 118 is divided by k(9).
22
Let x(w) = -w + 2. Let h(k) = 21*k**2 - 12*k**3 + 28*k + 27 + 11*k**3 + 6*k**2. What is the remainder when h(28) is divided by x(-5)?
6
Suppose -100 = -3*z + 5*h, 11*h = -3*z + 8*h + 108. Calculate the remainder when 171 is divided by z.
31
Suppose 0 = 7*u - 8*u + 4*s + 27, 4*u + 3*s = 32. What is the remainder when 305 is divided by u?
8
Suppose 0*k + 46 = 2*k. Let a = 32 - k. What is the remainder when 31 is divided by a?
4
Let y = 237 + -233. What is the remainder when 9 is divided by y?
1
Let q(n) = 4*n**2 - 33*n - 33. Calculate the remainder when q(12) is divided by 30.
27
Let m(t) be the second derivative of t**5/20 + t**4/2 - t**3/2 + 53*t - 2. Let n = 16 - 22. Calculate the remainder when 35 is divided by m(n).
17
Let i be 75/27 + 6/27. Suppose -5*g - 4*o + 421 = 0, -5*g = -i*o - o - 389. Calculate the remainder when g is divided by 21.
18
Calculate the remainder when 264 is divided by (-127 - -181) + (1 + -7)/(-1).
24
Let d(k) = -k**3 - 4*k**2 - 9*k - 12. Let q(n) = -2*n + 5. Let c be q(5). What is the remainder when d(c) is divided by 15?
13
Let j(y) = -34*y + 1. Let m be (1/(-2))/(1/2). Calculate the remainder when j(m) is divided by ((-77)/(-33))/(77/330).
5
Let o(p) = p**3 - 17*p**2 - 13*p + 14. Let q be o(18). Suppose -q = -91*h + 89*h. What is the remainder when h is divided by 3/12 - 71/(-4)?
16
Let v(a) = -34 + 11*a**3 + 35 - 3*a**3 + 0*a**3 - 2*a. What is the remainder when v(1) is divided by 3?
1
Suppose -3*d = -6*d + 9, 2*d = -2*k + 16. What is the remainder when 19 is divided by k?
4
Let b = -21 + 26. Suppose 5*d = d + 5*t + 187, d - b*t - 28 = 0. What is the remainder when d is divided by 14?
11
Calculate the remainder when 4 + 146/2 + 4 is divided by 22.
15
Suppose -3*t + 132 - 72 = 0. Calculate the remainder when 130 is divided by t.
10
Suppose 0 = 5*d + 2 - 52. Let q = 31 - d. Calculate the remainder when q is divided by 6.
3
Let o be ((-10)/(-6))/5*0. Suppose -5*w + 595 = -p + 2*p, o = 4*p. What is the remainder when w is divided by 30?
29
Let x be (-1 - (0 + -5))/(-1). Let k(n) = -6 + 2*n**2 - 5*n + n + n**2 + 0*n. What is the remainder when k(x) is divided by 15?
13
Let l(r) = 304*r**2 + r + 6. What is the remainder when l(-1) is divided by 26?
23
What is the remainder when 3/((-1)/46*-2) is divided by (1 + -2 + 13)*(-60 - -61)?
9
Calculate the remainder when (-23)/(-5)*(3 + 2) is divided by 4.
3
Let z(g) = -g**3 + 9*g**2 - 16*g + 6. What is the remainder when 39 is divided by z(6)?
3
Let o(d) = -d**2 + 20 - 18 + 0*d**2 - 10*d. Suppose m = -2*w - 10 - 2, -3*m - 33 = 3*w. Calculate the remainder when 6 is divided by o(m).
0
Suppose 0*b - 2*h - 2030 = -4*b, 0 = -4*b + 3*h + 2025. Suppose 0 = -17*