Let w = k - 10. Calculate the remainder when 14 is divided by w.
4
Suppose 6*x - 5*x = 58. Suppose 5*g - 120 + 20 = 0. What is the remainder when x is divided by g?
18
Let k = 1245 + -1054. What is the remainder when k is divided by 36?
11
Let l be 63 + 0 + 2 - 1. Suppose 0*n + 2*n - l = 0. What is the remainder when n is divided by 17?
15
Suppose 23 = -d + 55. Let h = -76 + 57. Let n = d + h. Calculate the remainder when 36 is divided by n.
10
Calculate the remainder when 108 is divided by 25/15 - (-188)/6.
9
Let n = -2 + 18. Suppose 2*y + n = -2*y. What is the remainder when y*(9/(-4) + 1) is divided by 3?
2
Let k(c) = 12*c - 2. Suppose -d = -3*d + 5*t + 4, -t = 0. Suppose 5*x - 77 = 248. Calculate the remainder when x is divided by k(d).
21
Let o(p) = 2*p**3 + 4*p**2 + 4*p + 2. Let d be o(-2). Let h = 1115 - 1098. Calculate the remainder when 96/10*(-20)/d is divided by h.
15
Let z = -1146 + 1153. Calculate the remainder when (-2)/(-1)*(15 + -2) is divided by z.
5
Suppose -5*j = d - 405, -d + j = 5*j - 410. Suppose -8*w + d = -3*w. Calculate the remainder when w is divided by 8.
6
Let y(w) = 4*w**2 + 11*w - 50. Let l be y(5). What is the remainder when 195 is divided by l/9 - (2 + (-8)/6)?
8
Suppose -8386 = 10*s - 17176. Calculate the remainder when s is divided by 11.
10
Suppose 4*w + 109 = 5*s, -5*w = 120*s - 124*s + 80. What is the remainder when 322 is divided by s?
22
Let l(a) = -5*a - 2*a**2 - 3*a + 4 + 12*a**2 - a**3. Let u be l(9). Let d = u + -9. Calculate the remainder when d is divided by 3.
1
Suppose 11*l - 107 = 399. What is the remainder when l is divided by 7?
4
Let i = 856 + -774. Calculate the remainder when i is divided by 8.
2
Suppose 10*t = -2*t. Suppose 5*s - 2*n - 630 = 125, -5*n = t. Calculate the remainder when s is divided by 31.
27
Let n(b) = -b**3 - 6*b**2 - 10*b - 3. Let w be n(-4). What is the remainder when 43 is divided by 4/(1/(10/w))?
3
Suppose -c = -4*c + 2*z - 465, -c = z + 150. Let k = 288 + c. Calculate the remainder when k is divided by 17.
16
Let t = -54 + 144. What is the remainder when t is divided by 19?
14
Let z(h) = -5*h. Let b be z(-11). Suppose 3*s = -2*g - s + 12, 5*s - 30 = -5*g. Suppose -b = -11*t + g*t. Calculate the remainder when t is divided by 5.
1
Let m(k) = 55*k**2 - 17*k + 30. Calculate the remainder when m(3) is divided by 28.
26
Let f = 4 + 9. Let v = -13 + f. Suppose c + 2*q - 8 = 0, -2*q = -v*q + 4. Calculate the remainder when 43 is divided by c.
7
Let w(n) = 5*n**2 - 189*n - 579. Let t(g) = -g + 4. What is the remainder when w(-3) is divided by t(-8)?
9
Let g(b) = 3*b**3 - 5*b**2 + 3*b. Calculate the remainder when 131 is divided by g(3).
41
Let g(r) = 32*r - 209. Calculate the remainder when 550 is divided by g(9).
76
Let n = 47 - 41. Suppose -3*z = -n - 21. What is the remainder when 25 is divided by z?
7
Let u(b) = 16*b. Let h be (-2 - -2) + 1 + (2 - 2). Calculate the remainder when 60 is divided by u(h).
12
Let i = -910 - -1244. Calculate the remainder when i is divided by 5.
4
Let a(z) = 33*z**2 + 3*z - 2. What is the remainder when 237 is divided by a(1)?
33
Let p(t) = 4*t**2 + 11*t + 1. Let v be p(-5). Suppose -v = -3*k - 10. What is the remainder when 21 is divided by k?
9
Let v(c) = c**3 - 11*c**2 + 24*c + 20. What is the remainder when v(8) is divided by 6?
2
Let z(t) = 3*t**3 - 4*t**2 + 17*t - 28. What is the remainder when 1035 is divided by z(2)?
13
Let t(l) = 5*l**2 - 17*l + 6. What is the remainder when t(5) is divided by 17?
12
Let d(t) = -t**3 + 21*t**2 - 3*t + 29. Let x be d(21). Let u = x + 78. What is the remainder when u is divided by (-5)/(((-1)/(-1))/(-3))?
14
Let p be (-2)/9 - 182/(-9). What is the remainder when 1*(p/1 - 4) is divided by 6?
4
Suppose 2*i = 7*i - 15. Suppose 5*a - 21 = -3*v, 5*v + 0*a - 1 = 3*a. Suppose v*l - y = 33, -y = 2*y - i. What is the remainder when l is divided by 9?
8
Let u = 34 - 5. Suppose 5*a = 2*h - 31, -2*h + 3*a + u = -0*a. Calculate the remainder when 37 is divided by h.
11
Let g(z) = -9*z - 8. Let l be g(-6). Suppose p = -a + 23, 0*p = -2*p + 3*a + l. Calculate the remainder when ((-22)/(-7))/(4/(-21)*93/(-372)) is divided by p.
20
Let o(w) = w**3 + 8*w**2 + 13*w + 11. Let i be o(-6). Suppose 30 = 2*l - i*g - 68, -4*l = 5*g - 136. What is the remainder when l is divided by 14?
11
Suppose 4*l - 4 = 3*w, 0*l + 5 = 5*l - w. Let y = l + 46. Suppose -87 = -4*b - 23. What is the remainder when y is divided by b?
15
Let d(w) = -w**3 + w**2 + 2*w + 5. Let u be d(3). What is the remainder when 27 is divided by (21/(-6))/u*14?
6
Let u(m) = 5*m**2 + 91. Let z(k) = -3*k + 7. Calculate the remainder when u(0) is divided by z(-8).
29
Suppose 2*s = -5*a - 155, -5*s - 93 = 3*a - 0*s. Let j = 33 + a. Calculate the remainder when (-1)/3 + (-19)/(-3) is divided by j.
0
Let x(t) = -2*t - 14. Let i be x(-7). Calculate the remainder when (i - -19)*(-3 + 6) is divided by 7 + -6 + (17 - -2).
17
Let s(a) = 9*a + 4. Suppose 5*l + 4*q + 39 = -146, -l + 4*q = 13. Let p = l + 47. Calculate the remainder when s(4) is divided by p.
12
Let v(d) = -d**2 + 27*d - 110. What is the remainder when 109 is divided by v(21)?
13
Calculate the remainder when ((-6)/5)/((-3508)/(-320) + -11) is divided by 16.
0
Let u(n) = 7*n**2 - 20*n. Suppose -4*a = 5 - 25. Calculate the remainder when u(a) is divided by 39.
36
Suppose -7*u + 2 = -2*r - 3*u, 4*u - 23 = -5*r. Suppose 5*m + 75 = 5*c, -c + 5*m - 16 = -r*c. Calculate the remainder when c is divided by 9.
4
Let i = 25 - 14. Let k = 53 - 53. What is the remainder when (-6 + (-12)/(-18))*(-12 + k) is divided by i?
9
Let i be 2 - (0 - (-2 - -2)). Suppose -i*y + 24 + 28 = 0. Calculate the remainder when y is divided by (10/(-4))/((-18)/108).
11
Suppose -23*v + 17*v = 480. Suppose 5*t + 7*y = 4*y + 70, 0 = 2*t - 4*y - 2. Calculate the remainder when v/(-4 + 0) + -1 is divided by t.
8
Let f(q) = 3*q + 22. Let r be f(-14). Let j = r - -36. Calculate the remainder when 61 is divided by j.
13
Suppose -171 = r - 179. What is the remainder when 26 is divided by r?
2
Suppose -2*g + q = -4*q + 22, g - q = -5. Calculate the remainder when (-35)/g + 1 + 1 is divided by 8.
5
Suppose 0 = p + 2, -s - 3*p = 2*p + 47. Let j = -20 - s. Let c(l) = -l**2 + 7*l + 4. What is the remainder when j is divided by c(6)?
7
What is the remainder when (1/((-22)/3223))/((-1)/2) is divided by 21?
20
Let t(q) = 0*q**2 + 7*q + 106 + q**2 - 97. Let f be t(-8). Let l = -16 + f. What is the remainder when 1 is divided by l?
0
Suppose -u + 17 = -0*u + r, r = -5. What is the remainder when 39 is divided by u?
17
Let s(c) = 10*c - 33. What is the remainder when s(6) is divided by 7?
6
Suppose 20*x = 26*x + 78. Let w = 11 - x. What is the remainder when 43 is divided by w?
19
Let h(f) = -f**3 + 6*f**2 - 5. Suppose 0 = 2*x - 89 - 25. Calculate the remainder when x is divided by h(5).
17
Let h = 25 - 20. Suppose -4*n + 4*i - 180 = -6*n, -h*n + 5*i + 375 = 0. Calculate the remainder when n is divided by 9.
8
Suppose -963 = 26*y - 29*y. What is the remainder when y is divided by 84?
69
Suppose 1550 = -5*m + 36*m. Suppose -2*o + b + 1 = -9, -5*b + 34 = 4*o. What is the remainder when m is divided by o?
2
What is the remainder when 136 is divided by -4 + 72 + (-3)/(-3)?
67
Suppose -5*w = 20, -5*w = 18*q - 19*q + 175. What is the remainder when q is divided by 12?
11
Calculate the remainder when 2/3 + (-121)/(-3) is divided by (-296)/(-20) - 344/430.
13
Let d(g) = -g**2 + 16*g + 5. What is the remainder when 59 is divided by d(13)?
15
Let h(k) be the second derivative of -k**5/20 + k**4/3 + k**3/3 + 3*k**2/2 + 9*k. What is the remainder when 42 is divided by h(4)?
9
Let k be (-1 + -35)*(1 + 20/(-12)). Suppose -k*x = -19*x - 30. Calculate the remainder when 8 is divided by x.
2
Suppose 32*l - 13294 = 15*l. Calculate the remainder when l is divided by 14.
12
Suppose -5*c - 40 = 5*h, -h + 40 = -5*c + 3*h. What is the remainder when 56 is divided by (6 + 14)*(-12)/c?
26
Let g(q) = q + 2. Let a be g(4). Calculate the remainder when 41 is divided by (21/14)/(a/44).
8
What is the remainder when 141 is divided by ((-9)/(-2))/((-7)/(-28))?
15
Calculate the remainder when -8 - (-5 - 92/2) is divided by 11.
10
Let g = 1561 + -1454. What is the remainder when g is divided b