s(y) = -9*y + 92. What is the remainder when 412 is divided by s(1)?
80
Suppose 4*b + t - 671 = 0, 5*b - 3*t - 81 - 762 = 0. Suppose k = -5*k + b. Calculate the remainder when 70 is divided by k.
14
Let q(u) = 86*u**2 + u + 2. Calculate the remainder when q(-1) is divided by 24.
15
Suppose -4*z = -7*z + 9. Suppose -h + 2 = -z. Let n = -23 - -40. Calculate the remainder when n is divided by h.
2
Suppose 0 = 23*i - 5509 - 195. Calculate the remainder when i is divided by 65.
53
Suppose -w - 3*x + 33 = x, -3*x + 29 = w. Calculate the remainder when (-5)/2 - 3857/(-58) is divided by w.
13
Suppose -6*f - 81 = -27. Let y(x) be the second derivative of -x**3/2 + 7*x**2/2 + 2*x. Calculate the remainder when y(f) is divided by 9.
7
Let q = -27 + 47. What is the remainder when 3/(-6)*156/(-2) is divided by q?
19
Let l be 4/(-6) + 17/3. Suppose -l*s + 73 = d, d - 3*d + s = -190. Calculate the remainder when d is divided by 24.
21
Suppose 2*n - 18*p = -21*p + 140, 2*n + 4*p = 142. Calculate the remainder when n is divided by 21.
4
Suppose -7*m + 551 + 170 = 0. What is the remainder when m is divided by 15?
13
Suppose 0 = -3*l - l - 5*x + 57, 0 = -x - 3. Calculate the remainder when 2013 is divided by l.
15
Let q be (-2)/(-3)*(1 - 275/(-10)). What is the remainder when 23 is divided by (q + -10)/((-1)/(-2) - -1)?
5
Suppose 2*l + 112 = 5*l + 5*w, -3*l = -5*w - 152. Suppose -i + l = i. Calculate the remainder when i is divided by 7.
1
Suppose 3*k - 2*x = 161, 0*k - 5*k + 267 = -4*x. What is the remainder when k is divided by 10?
5
Suppose 3*k = k + 8. Let v be 0 + k/4*11. Suppose -69 = -5*x + v. Calculate the remainder when 63 is divided by x.
15
What is the remainder when 142 is divided by 16/(-12)*(-522)/24?
26
Let p(i) = -i**3 - 3*i**2 + 1. Let a be p(-1). Let w(c) = c**2 + 16*c + 16. What is the remainder when w(-15) is divided by 0 - (0 - a)/(-1)?
0
Suppose -3*o - 16 + 1 = 0. Let h = 2 - o. Let p(w) = -w**2 + 7*w + 5. Calculate the remainder when 8 is divided by p(h).
3
What is the remainder when (11 - 27)*(-6)/(-2)*-1 is divided by 4?
0
Let p be (2/3)/((-5)/30). Let t be (-4 + 9 + 1)*-2. What is the remainder when p/(-24) - 178/t is divided by 4?
3
Suppose -1104 = -16*a - 7*a. What is the remainder when a is divided by 22?
4
Suppose 4*j + 22 = 158. Let c(p) = 82*p**2 - 1. Let z be c(-1). Suppose 5*d - z = -3*x, -4*d + x - 20 = -95. Calculate the remainder when j is divided by d.
16
Suppose -8 = -3*p + g + 59, p = -2*g + 13. Calculate the remainder when 648 is divided by p.
18
Let o be -1*(-2)/(3 + -2). Let i be 9*(-1 - (-4 + o)). Let a = i + -3. Calculate the remainder when 15 is divided by a.
3
Suppose -2*o - 18 = -12, -1678 = -5*f - 4*o. Calculate the remainder when f is divided by 101.
35
Let o(w) = -w**3 + 6*w**2 + 37*w + 24. Calculate the remainder when o(-8) is divided by 19.
16
Let i = 129 + 70. Let m = i - 141. What is the remainder when m is divided by 20?
18
Suppose 3 + 4 = g. Let b = 176 + -118. Suppose -4*s - 5*y = -8 - b, -5*y = 10. What is the remainder when s is divided by g?
5
Suppose 0 = 5*t - 3*t + 14. Let h = t + 18. Calculate the remainder when 4/(32/(-3)) + 1388/32 is divided by h.
10
Suppose -96 = -44*o + 38*o. What is the remainder when 103 is divided by o?
7
Let m = -503 - -539. What is the remainder when 539 is divided by m?
35
Suppose 0 = -2*o + 4. Let r be 4 + o/(1 + -2). Calculate the remainder when 30 is divided by r/10 - 273/(-35).
6
Suppose -2*y + 3 = -69. Suppose 15*w = 11*w + y. What is the remainder when 24 is divided by w?
6
Suppose -26*o = -21*o - 595. Suppose 2*i + o = 9*i. What is the remainder when 46 is divided by i?
12
Let o(w) = -w - 7. Let s be o(-10). Let z be (-9)/(-6)*(-8)/(-6). Suppose 14 = 4*n + 3*k, -3*n + s*k = -k + z. Calculate the remainder when 2 is divided by n.
0
Let a(o) = o**3 - 4*o**2 - 4*o + 9. Let h = 50 + -21. Calculate the remainder when a(6) is divided by h.
28
Calculate the remainder when 20/(-8)*(-1 - (-1343)/(-5)) is divided by 9.
8
Suppose 4*a = -5*q + 41, q = 4*a - a - 7. Suppose 8*k - 8 = a*k. Suppose k*p + 3*p - 30 = 0. What is the remainder when 23 is divided by p?
5
Let v(w) = w**3 + 9*w**2 - 2*w - 46. Suppose -3*l + 5*l + 5*j + 21 = 0, 3*l = -5*j - 29. Calculate the remainder when 169 is divided by v(l).
33
Let o(y) = -y**3 - y**2 + 3*y + 5. Let t(c) be the third derivative of -c**4/6 - 7*c**3/6 + 3*c**2. Calculate the remainder when t(-4) is divided by o(0).
4
Let v(c) = 20*c**3 - 3*c**2 + 14*c - 14. Calculate the remainder when 133 is divided by v(1).
14
Suppose -14*q + 93 + 369 = 0. Calculate the remainder when 758 is divided by q.
32
Let h = -269 + 745. What is the remainder when h is divided by 22?
14
Calculate the remainder when 312 is divided by 6/(-8) - (-732)/16.
42
Suppose f - 2*n - 230 = 0, 11*n - 6*n + 10 = 0. What is the remainder when f is divided by 6?
4
Let d be (-889)/(-2) - (-1)/(-2). Let j(b) = -3*b**3 + 2*b**2 + b. Let u be j(2). What is the remainder when 42 is divided by (-2)/u - d/(-28)?
10
Let y(z) be the second derivative of -z**5/20 - 5*z**4/4 + 17*z**3/6 + 39*z**2/2 + 11*z. What is the remainder when y(-16) is divided by 17?
6
Calculate the remainder when 183 is divided by ((-3848)/(-260))/((-6)/10 + 1).
35
Suppose 59*o - 53*o = 1566. Calculate the remainder when o is divided by 33.
30
Suppose 2*a - 6 = -z, 12 - 24 = -2*z + 5*a. Suppose 0 = z*g - 203 - 25. Calculate the remainder when 108 is divided by g.
32
Suppose 0 = y + 4*y. Let x = 21 - 9. Suppose -4*w = -y - x. What is the remainder when 3 is divided by w?
0
Let z be 10/4 + 14/(-28). Let l(p) = 26 - z + p + 7. Calculate the remainder when l(0) is divided by 11.
9
Suppose -2*k + 18 = -24. Let l = 1981 - 1922. What is the remainder when l is divided by k?
17
Suppose -4*i + 271 - 7 = 0. Suppose -4*y - 7*y + i = 0. Calculate the remainder when y is divided by (-23)/(-7) - (-2)/(-7).
0
Let z(d) = -70*d**2 - 2*d + 2. Let y be z(1). Let m = 119 - y. Let c = m - 112. Calculate the remainder when c is divided by 16.
13
Suppose -3*t = -6*t + 12, -4*t = -3*l - 4. Suppose -h + 3*b + 300 = 3*h, 0 = -b - l. Calculate the remainder when h is divided by 15.
12
Let l be (5 + 0)*(2 - 1). Let q(y) = -4*y**2 - 28*y - 11. Calculate the remainder when q(-5) is divided by ((-12)/l)/((-9)/30).
5
Let j = 110 + 25. Calculate the remainder when j is divided by 17.
16
Suppose -3*d = i - 199, 3*d + 29*i = 24*i + 203. Calculate the remainder when 124 is divided by d.
58
Let f = -27 + 33. What is the remainder when 38 is divided by 6/(-9) + 82/f?
12
Suppose c = -2*c + 12. Suppose c*f = -12 - 0. Let k(a) = -a**3 + 2. Calculate the remainder when k(f) is divided by 10.
9
Suppose 0 = -c - 3, -3*j + 2*c + 117 = -27. Calculate the remainder when 175 is divided by j.
37
Let r = -98 - -172. Calculate the remainder when r is divided by 26.
22
Let f be 2/4*480/10. Let m be ((-3)/(-12))/(2/f). Suppose m*a - 165 = c - 5*c, -129 = -3*c - 4*a. Calculate the remainder when c is divided by 10.
9
Let n = 3 - 2. Suppose -1 = 9*s - 8*s. Calculate the remainder when s/(-1)*5 + -3 is divided by n.
0
Suppose 0 = -6*l + 545 - 377. Calculate the remainder when l is divided by 5.
3
Let p be 8*1/2 + 1. Suppose -w - j = -0*j, 0 = p*w + 3*j - 4. Calculate the remainder when 4 is divided by w.
0
Let y be ((-5)/(-4))/((-2568)/(-640) - 4). Suppose 4*x - 3*m - 120 = -2*m, -4*m = 4*x - y. What is the remainder when x is divided by 6?
5
Suppose -2*a + 16 = 2*a. Suppose 0*m = a*m - 156. Calculate the remainder when 75 is divided by m.
36
Suppose 2*q + 2*q = -20, 16 = 3*y - 2*q. Suppose 5*i = -y - 13, -3*k + 4*i + 48 = 0. Let u(o) = o**2 - 2*o - 1. What is the remainder when u(6) is divided by k?
11
Calculate the remainder when 55 is divided by (-7)/56*-8 + 6.
6
Let y(l) = 2*l**2 - 101*l + 61. What is the remainder when 107 is divided by y(50)?
8
Let q = -990 + 1001. Calculate the remainder when 134 is divided by q.
2
Let x(t) = -t**2 + 11*t + 8. Let k = -5 + 10. Let w(p) = 6*p - 7. Calculate the remainder when w(k) is divided by x(11).
7
What is the remainder when 0 + -1 - 0 - -14 is divided by (-24)/(-132) + 75/11?
6
Let s(j) = 8*j + 4. Let d = 35 + -34. Calculate the remainder when 22 is divided by s(d).
10
Let w(c) = 2*c**2 - 5*c + 1. Let p be w(5). Supp