t is the remainder when z is divided by 6?
4
Suppose 24 + 8 = 2*w. Let i be 36 + (4 - (7 - 4)). Let n = i + -8. What is the remainder when n is divided by w?
13
Suppose 6*w - 8*w - 42 = 0. What is the remainder when (-6)/21 - 2610/w is divided by 25?
24
Let o(t) = t. Let u(k) = k + 53. Let x(w) = -14*o(w) + 2*u(w). Calculate the remainder when 1 + -1 + 0 - -19 is divided by x(8).
9
Let g(o) = o**2 + 11*o + 14. Let f = 8 - 18. Let z be g(f). Suppose 0 = z*x - 5 - 7. Calculate the remainder when x is divided by 2.
1
Let t be -3 + 3*12/2. Let a be (-5)/(t/(-4))*-18. Calculate the remainder when 10 is divided by a/(-9)*(-45)/(-20).
4
Let j be (-246)/(-22) - (-16)/(-88). Suppose -j*h + 14*h - 45 = 0. Calculate the remainder when 72 is divided by h.
12
Let w = -30 - -46. Let i(t) be the second derivative of -5*t**3/6 - 9*t**2/2 + 4*t. Calculate the remainder when i(-14) is divided by w.
13
Let t = -1497 + 1503. What is the remainder when 149 is divided by t?
5
Suppose -3954 = -7*c - 811. What is the remainder when c is divided by 18?
17
Suppose -90*x = -96*x + 42. What is the remainder when 52 is divided by x?
3
Suppose -2 = -4*k + 14. Suppose -1 = -h - k*s - 7, -5*h + 5*s + 45 = 0. Calculate the remainder when h is divided by -3 - 1*-6 - 0.
0
Let j be -4*(36/(-8))/3. Let n be (-30)/2*j/(-18). Let h(x) = 7*x - 11. What is the remainder when h(n) is divided by 5?
4
Calculate the remainder when 70 is divided by (-304)/(-20) + (-1)/5.
10
Suppose -5*n + 114 = z, -23 - 42 = -3*n - 4*z. Calculate the remainder when n is divided by 12.
11
Let s be (-34)/(-10) - (-2)/(-5). Suppose l = -3*l - 4*l. Suppose -t + 1 + s = l. What is the remainder when 7 is divided by t?
3
Let i = -187 - -202. Calculate the remainder when 18 is divided by i.
3
Let o(g) = 7*g + 21. Let p(n) = 7*n + 21. Let h(f) = 6*o(f) - 7*p(f). Calculate the remainder when h(-9) is divided by 9.
6
Suppose 0 = 3*x - n - 172, -x - 5*n + 197 = 113. What is the remainder when x is divided by (-10)/3*(-36)/10?
11
Let y(o) = 4*o - 11. Let a(j) = 18*j**2 + 1. What is the remainder when a(1) is divided by y(4)?
4
Suppose -4*h + 135 = h. Calculate the remainder when (-19)/38 + (-377)/(-4)*2 is divided by h.
26
Let n be ((-2)/4*0)/2. Suppose n*r + 9 = 3*r. Suppose 64 = -a + r*a. Calculate the remainder when a is divided by 11.
10
Suppose 3*b = -5*v + 144, 96 = 2*b - 3*v - 2*v. Let g(s) = -s**3 - 13*s**2 + 25. Calculate the remainder when b is divided by g(-13).
23
Calculate the remainder when 35 is divided by (5 + 4)*(-1 - (-1 - 1)).
8
Let f(j) = -3*j. Let n(p) = -p**3 + 5*p**2 + 3*p - 4. Suppose 0 = -6*y + 10 + 14. Calculate the remainder when n(y) is divided by f(-3).
6
Let c(l) = -l**2 + 70*l + 126. Calculate the remainder when c(71) is divided by 41.
14
What is the remainder when 169 is divided by (3/1)/(0 + (-15)/(-220))?
37
Let c(z) = -z**3 + 32*z**2 - 28*z - 46. What is the remainder when c(31) is divided by 9?
2
Let t(d) = -2*d**3 - 16*d**2 - 3*d + 2. Let s(b) = b**3 + 8*b**2 + b - 1. Let k(c) = -5*s(c) - 3*t(c). What is the remainder when k(-7) is divided by 11?
9
Let z be 4/10 + (-48)/(-5). Suppose 4*m - 2*y + y = -17, -2*y + z = 0. What is the remainder when (-14 - (-1 - -2))*m is divided by 12?
9
Let l be (-2)/(160/(-78) - -2). Suppose -2*i = 3*g - 8*g + 8, 4*g - 3 = 5*i. Suppose l = q + g*q. What is the remainder when 50 is divided by q?
11
Let o be 3 + -2 + 249 + 4. Suppose -59 + o = 5*t. Suppose 2*m - 5*m + t = 5*n, -2*n - 13 = -m. Calculate the remainder when 23 is divided by m.
10
Let b(i) = 13*i - 12. Let h(t) = -t**3 + 4*t**2 - 3*t + 5. Let v be h(3). What is the remainder when b(v) is divided by 28?
25
Suppose -2*d - 729 = 3*p, -5*p + 2*d + d = 1215. Let t = 7 + 3. Calculate the remainder when (-8)/(-28) + p/(-7) is divided by t.
5
Let b(w) = -4*w - 7. Let c be -1 - (0 + 1 - -1). What is the remainder when 18 is divided by b(c)?
3
Let c = 51 + -46. Suppose 2*i - 74 = -2*f, -c*i + 2*f + f + 193 = 0. Calculate the remainder when 111 is divided by i.
35
Suppose 2*x + 3*t = -133 + 427, -5*t = -4*x + 588. Calculate the remainder when x is divided by 40.
27
Let q(y) = 7*y - 5*y - y. Let j(u) = 5*u**2 - 3*u - 4. Let n(b) = j(b) + 3*q(b). What is the remainder when 80 is divided by n(-3)?
39
Let w be 972/28 + (12/(-21))/(-2). Let n = w + -22. Suppose r + 200 = 5*r. Calculate the remainder when r is divided by n.
11
Let x = -16 + 31. Suppose 0 = 5*t + 5 - x. Suppose t*a - 39 = -a. Calculate the remainder when 50 is divided by a.
11
Suppose -151*f + 123*f + 21476 = 0. What is the remainder when f is divided by 155?
147
Suppose 4*u + 3*q = 71 + 55, -u + 2*q + 26 = 0. Calculate the remainder when 537 is divided by u.
27
What is the remainder when (220/(-66))/(2/(-3)) + 42 is divided by 16?
15
Let v = -19 + 59. Suppose 0 = -4*m - 2*w + v, 2*m = 3*m - w - 7. Let g = 6 - 2. What is the remainder when m is divided by g?
1
Suppose -3*n + 6*n = 5*m + 108, -108 = -3*n + 2*m. Calculate the remainder when n is divided by 10.
6
Calculate the remainder when (4 + -4 - 3 - -6) + 271 is divided by 4.
2
Suppose 5*f = 5*j + 150 + 475, 637 = 5*f - 2*j. Calculate the remainder when 512 is divided by f.
125
Suppose -5 = -3*l + 1. What is the remainder when (-1)/4 + ((-209)/44 - -10) is divided by l?
1
Let z = -3116 - -3282. Calculate the remainder when z is divided by 59.
48
Suppose 4*y - 49 = -0*r - r, -5*r - 54 = -3*y. Let q(u) = -u**3 + 12*u**2 + 290*u - 24. Calculate the remainder when q(24) is divided by y.
11
What is the remainder when 173 is divided by (59/(-3))/((-4)/3 - -1)?
55
Let z(i) = 2*i**2 - 4*i + 2. Let k be z(4). Let s = k + -16. Suppose 12 = -s*f + 30. What is the remainder when 23 is divided by f?
5
Let u = 26 - -18. What is the remainder when u is divided by (-16)/(-3) - 10/(-15)?
2
Let n = -129 + 184. Let o be (2 - (-80)/(-15))*-3. Suppose 223 - 33 = o*j. Calculate the remainder when n is divided by j.
17
Let m(j) = -16*j + 85. Let d(h) = h**2 + h + 28. What is the remainder when d(0) is divided by m(5)?
3
Let t(i) = 8*i**3 - 18*i**2 + 6*i - 11. Calculate the remainder when t(4) is divided by 15.
12
Let j = 7 + 3. Suppose 213*o - 248*o + 210 = 0. Calculate the remainder when j is divided by o.
4
Suppose -x + 2*l - 8 = -2*l, -5*x + 3*l + 11 = 0. What is the remainder when x is divided by (-24)/(-64)*64/12?
0
Suppose 0 = 2*o - 2 - 2. Suppose -2*s + 19 = 5*f, -o*f - 3 = s - 11. Suppose f*t = 8*t - 40. Calculate the remainder when 30 is divided by t.
6
Let s = -462 + 520. What is the remainder when 126 is divided by s?
10
Let t = -406 + 536. Calculate the remainder when t is divided by 35.
25
Suppose -4*j = -2*g + 456 + 178, j = 0. Calculate the remainder when g is divided by 10.
7
Let i = -1066 + 1097. Calculate the remainder when 153 is divided by i.
29
Let v = -579 + 585. What is the remainder when 21 is divided by v?
3
Suppose -2*w = 4*l + 3*w - 36, l = -5*w + 24. Let t(h) = 2*h + 1. Let d be t(l). Suppose 14*o = d*o + 135. What is the remainder when 52 is divided by o?
25
Let q be (-153)/2*8/(-6). Suppose -7*w + 2*w + 25 = 0, 2*w = 4*k - q. What is the remainder when k is divided by 10?
8
Let r(c) = c**3 - 8*c**2 - 21*c + 22. What is the remainder when 116 is divided by r(10)?
8
What is the remainder when 93 is divided by (50/(-30))/((-10)/246)?
11
Let p(f) = 6*f - 7. What is the remainder when 450 is divided by p(8)?
40
Suppose -2*j - 26 = -2*v, -3*v - 2*j + 12 = -2. What is the remainder when 87 is divided by (66/v)/(15/80)?
43
Let x(i) = i**3 - 13*i**2 - 2*i - 14. Suppose -z - z = -26. Let v be x(z). Let r = -22 - v. Calculate the remainder when 52 is divided by r.
16
Let m = 15 + 2. Suppose -3*w + 3*r + 24 = 0, 4*r - 3*r = 2*w - m. Calculate the remainder when w is divided by 3.
0
Let w(o) = -7*o - 17. Let t(v) = v**2 - 21*v - 52. Let r(z) = 4*t(z) - 11*w(z). Calculate the remainder when 262 is divided by r(5).
42
What is the remainder when 412 is divided by (210 - 3)*(-1)/(-3)?
67
Suppose 0 = -2*d + 31 - 3. Suppose -2*a + 2*w + d = 4, -4*w = 16. Let s = 7 + a. Calculate the remainder when 14 is divided by s.
6
Suppose 20*x - 945 = -145. Calculate the remainder when 196 is divided by x.
36
Suppose -2*g - 4*r + 250 = 3*g, 4*r + 26 = g. Suppose 2*x = 3*x. Suppose 12*d - 184 - 8 = x. Calc