7*q. Suppose 2*p - 82 - q = 0. Calculate the remainder when p is divided by 9.
8
Suppose -13*x + 2268 = 23*x. What is the remainder when x is divided by 51?
12
Suppose -2*k + 102 = -62. Suppose 4*y - 126 - k = 0. Let n = -59 - -70. Calculate the remainder when y is divided by n.
8
Let f be 10*((-22)/(-10) - 2). Let o be (-1)/2*2*-5. Suppose k - h = 3*h + o, -3*h - f = k. Calculate the remainder when 1 is divided by k.
0
Let j = -132 + 233. Let m = j - 92. Calculate the remainder when 76 is divided by m.
4
Let a = 4 + 0. Suppose 0 = h + h - a*n, 0 = 5*n + 10. Calculate the remainder when 3 is divided by 5 + h + (-2)/(-2).
1
Calculate the remainder when 88/9 - (-48)/216 is divided by 7.
3
Let h(y) = -8*y**3 + 2*y**2 - 3*y + 1. Let p be h(1). Let k = p + 32. Calculate the remainder when -1*31*(2 + -5) is divided by k.
21
Suppose 6 + 6 = 3*m. Let v(w) = w. Let g be v(5). Suppose -3*r - 2*o - 2*o = -2, -g*r + 4*o + 14 = 0. Calculate the remainder when m is divided by r.
0
Let h(l) be the third derivative of 0*l + 5*l**2 + 7/24*l**4 + 7/6*l**3 + 0. What is the remainder when h(4) is divided by 9?
8
Suppose 99*y = -119*y + 19838. Let g = 398 + -235. Suppose -48 = 5*z - g. What is the remainder when y is divided by z?
22
Let z(x) = x**3 + 5*x**2 - 16*x + 11. What is the remainder when z(-6) is divided by 30?
11
Let i(d) = -d**2 + 11*d + 15. Calculate the remainder when 36 is divided by i(11).
6
Let i(z) = 8*z - 3*z + 28*z - 2. What is the remainder when i(1) is divided by (-4)/(0 + (-2)/4)?
7
Let p = 3013 - 2898. Calculate the remainder when 447 is divided by p.
102
Suppose 3*u - 240 = -2*u. Suppose -4 = 4*x + u. Let m = x + 45. What is the remainder when 127 is divided by m?
31
Calculate the remainder when (-3 - 288/6)*32/(-12) is divided by 10.
6
Let l be ((-4)/1)/((-6)/9). Calculate the remainder when 11 - (-6)/(-8)*4 is divided by (-1)/2 + 33/l.
3
Let x(l) = l**2 + 5*l + 4. Let c be x(-4). Let b(a) = -a**2 + 4 + a**3 + 23*a + 26 - 24*a. What is the remainder when 89 is divided by b(c)?
29
Suppose 0 = -11*g + 325 + 137. Suppose 2*c - 4*t - g = 0, 2*c = -3*t + 55 + 1. Calculate the remainder when c is divided by 14.
11
Let p(b) = -b**2 + 10*b - 3. Suppose -5*u + a + 190 = -3*a, 3*a - 15 = 0. What is the remainder when u is divided by p(5)?
20
Suppose 3 + 8 = 2*n - 5*q, 0 = -4*n + 4*q + 40. Calculate the remainder when (-3)/(8 + 4936/(-616)) is divided by n.
10
Let y = -3787 + 3837. Suppose 0 = 4*n - 42 - 30. What is the remainder when y is divided by n?
14
Let w(t) = 4*t**3 - 2*t. Let l(i) = i**2 - 13*i + 8. Let x be l(13). Let g = x - 6. Calculate the remainder when 109 is divided by w(g).
25
Let y(j) = -j**3 + 7*j**2 + 2*j - 17. Let l be y(7). What is the remainder when 38 is divided by ((-16)/(-6) + l)*-9 - -11?
10
Suppose 3*m = 4*m - 2*f - 29, 5*m = -2*f + 133. Let u(c) = 6*c**2 + 2 + 13*c**2 + 19*c**2 + 66*c**2 - c. Calculate the remainder when u(1) is divided by m.
24
Suppose -5*c - 3*m = 211 - 883, 5*m - 152 = -c. Calculate the remainder when c is divided by 73.
59
Suppose q + 4*h - 17 = 0, -2*q - q - 9 = -3*h. What is the remainder when (-3618)/(-72) - q/4 is divided by 26?
24
Suppose 0 = 4*q + 2*a + 152, -3*a + 2*a + 44 = -q. Let t be 1/(-3) + 2528/24. Let p = t + q. What is the remainder when p is divided by 17?
14
Let v = 464 - 453. Let q(h) = -h**3 - 3*h**2 + 2*h + 3. What is the remainder when q(-5) is divided by v?
10
Let d = 1364 - 1076. Calculate the remainder when d is divided by 4.
0
Let i = 1 + -1. Suppose 1 = w - i. Suppose 0 = -2*d + 41 + w. Calculate the remainder when 62 is divided by d.
20
What is the remainder when 3230/25 + (-1)/5 is divided by 44?
41
Let o(w) = -5*w - 15. Let u be o(-7). Let z = u + 11. What is the remainder when z is divided by 8?
7
Suppose 3 = 4*r - 2*r - 3*w, -4*r + 2*w + 10 = 0. Suppose -23*o + 14*o + 10*o - 12 = 0. Calculate the remainder when o is divided by r.
0
Let g(r) = -2*r - 3*r + 6*r + 21*r**2 - 2*r. What is the remainder when 104 is divided by g(-1)?
16
Suppose -l = -4*l + 48. Suppose 0 = -4*u + 7*u - 24. What is the remainder when 482/u - 1/4 is divided by l?
12
Calculate the remainder when 1/2 - (-450)/4 is divided by 25.
13
Let c = 711 - 685. Calculate the remainder when -1 + (-25)/2*-4 is divided by c.
23
Let t = -264 + 270. Calculate the remainder when 53 is divided by t.
5
Suppose -16*l + 2926 - 222 = 0. Calculate the remainder when l is divided by 57.
55
Suppose -2*t + 57 = 3*v + t, -2*v = -3*t - 23. Suppose -4*b + 25 = -2*b + c, 5*b + 5*c - 60 = 0. Let a = 42 - b. Calculate the remainder when a is divided by v.
13
What is the remainder when 39 is divided by 5*(6/(-63) - (-2768)/840)?
7
Let l = 753 - 732. Calculate the remainder when 129 is divided by l.
3
Suppose -h + k = -36, -4*k - 48 = 4*h - 5*h. Calculate the remainder when 507 is divided by h.
27
Let o = 4415 + -2769. What is the remainder when o is divided by 16?
14
Let a = -456 - -464. What is the remainder when 40 is divided by a?
0
Let n = -1670 - -1735. What is the remainder when 842 is divided by n?
62
Suppose 10*y + 60 = -0*y. Calculate the remainder when (3 + y)*13/(-3) is divided by 5.
3
Suppose 0 = 5*w + l - 559 - 123, 0 = 5*w + 4*l - 673. Suppose 3*v - 11*t + 7*t = 129, 5*t = -5*v + 145. What is the remainder when w is divided by v?
32
Let j = -105 + 265. Calculate the remainder when j is divided by 23.
22
Let d(r) = r**2 + 17*r - 16. Let y be d(-18). Let t(b) = 7*b**2 - 6*b + 3. Calculate the remainder when 112 is divided by t(y).
17
Let a(z) = -2*z + 18. Let k(c) = c + 14. Let d be k(-6). Suppose u - 5*f = -2*u - 2, -f + 22 = 3*u. Calculate the remainder when u is divided by a(d).
0
Let g be (-2)/(-2) + -3 + 7. Let y(q) = q**2 - 4*q - 2. Let r be y(g). Suppose 2*i - r - 9 = 0. Calculate the remainder when i is divided by 5.
1
Let r = 1 + 6. Let i(o) = -o**3 + 15*o**2 - 25*o + 21. Calculate the remainder when i(13) is divided by r.
6
Suppose 108*k = 110*k - 268. Calculate the remainder when k is divided by 35.
29
Let s be ((-10)/(-6))/(1/3). Suppose 8*l = 405 - 389. Suppose c + 5*g = l*g + 5, s*c + 3*g - 25 = 0. Calculate the remainder when 18 is divided by c.
3
Suppose 2*k - 5*k = -3. Let q(y) = 2*y + 1. Let z be q(k). Suppose 4*c + 5*l - 36 = 0, -5*c + z*l = -11 + 3. Calculate the remainder when 10 is divided by c.
2
What is the remainder when 344 - 1*(4 - 12) is divided by 118?
116
Suppose -f = w - 7, -w + 2*f + 2*f + 2 = 0. Let a be 2/w*0/(-6). Let i = 10 - a. What is the remainder when 36 is divided by i?
6
Let d(u) be the second derivative of -4*u**3/3 - u**2 + 18*u. What is the remainder when d(-10) is divided by 27?
24
Let c be (-3)/9 - 172/6. Let k = 80 + c. Calculate the remainder when k is divided by 13.
12
Suppose 5*p = -4*l + 3*p + 202, l - 2*p = 58. What is the remainder when l is divided by 6?
4
Let k = -242 + 655. What is the remainder when k is divided by 104?
101
Let m(a) = 2*a**2 + 2*a**2 - 5 + 0*a**2 + 6*a - 3*a**2. Calculate the remainder when 6 is divided by m(-7).
0
What is the remainder when 1/((-4)/1176*(-1 - 1)) is divided by 37?
36
Suppose 1684*y - 1683*y - 15 = 0. What is the remainder when y is divided by 9?
6
Let l(v) be the first derivative of 7*v**3/3 + 4*v**2 + 2*v - 24. Calculate the remainder when l(-2) is divided by 10.
4
Let t(u) = -u**3 + 9*u**2 - 8*u + 5. Let a = 109 + -85. Calculate the remainder when t(7) is divided by a.
23
Let m(a) be the second derivative of a**3/3 + a**2/2 - 7*a. Let k be m(15). Let w = 49 - k. Calculate the remainder when 88 is divided by w.
16
Suppose 2*b + 2*b = 32. Suppose 3*o - 2*f - 28 = 0, 2*f + b + 12 = 2*o. Calculate the remainder when 21 is divided by o.
5
Let v = 44 + -34. Suppose -z = -4*k + 5, -2*k = -4*z - 2 + v. Let d(h) = -h**3 + 4*h**2 - 2*h + 5. What is the remainder when 20 is divided by d(z)?
4
Let j = -596 - -604. Let m = -53 + 118. Suppose 3*f + m = j*f. What is the remainder when f is divided by 7?
6
Let d(i) = 10*i**2 + 2*i - 5. Calculate the remainder when 228 is divided by d(-3).
70
What is the remainder when 556 is divided by (10 - (-1044)/(-30))/((-2)/5)?
60
Suppose -u = -2*z - 1, -u = -3*u + 5*z - 1. Suppose -u*q + 220 = -3*q. What is the remainder when q is divided by 29?
26
Suppose 5*s - 202 = 273. Let o = 16 - 10. What i