
Let j = 15 + -10. What is the remainder when 8 is divided by j?
3
Let b = 7 - -18. Let l = 4 - 0. Suppose -3*i = -23 - l. What is the remainder when b is divided by i?
7
Suppose -7*w + 150 = -144. Calculate the remainder when w is divided by 22.
20
Let q(k) = -5*k**3 + k. Suppose 6*i = 7*i - 30. Let n be (-12)/i + (-6)/10. Calculate the remainder when 14 is divided by q(n).
2
Let w(h) be the first derivative of -h**4/4 - 2*h**3 + 7*h**2/2 + 7*h - 3. What is the remainder when 19 is divided by w(-7)?
5
Let w be 106/4 + (-1)/(-2). Suppose -5*n = -4*z + w, n + 3*z = -2*z + 12. Let t = n + 43. What is the remainder when t is divided by 14?
12
Let s = -1 - -3. What is the remainder when (0 + -1)*(-1 - 2) is divided by s?
1
Let q(u) = 10*u**2 + 2*u + 6. Calculate the remainder when 125 is divided by q(-2).
41
Suppose -3*o + 6*o = 0. Suppose 4*b = 5*y + 1 - o, 5*b + 5*y - 35 = 0. What is the remainder when 6 is divided by b?
2
Let p be -1*(2 - -3)*-1. Suppose -p*c + 13 = -17. What is the remainder when 94/6 + 2/6 is divided by c?
4
Suppose 0 = 5*y - 2*y - 3. Suppose 0 = -4*p + p + 6. Calculate the remainder when p is divided by y.
0
Let m(s) = -s - 5. Let l be m(-4). Let o be l - 1*(-2 - -1). Suppose o = i - 4*i + 30. Calculate the remainder when 18 is divided by i.
8
Let s be 6*(4/(-3) + 2). Let b = 4 + s. Let z(w) = 23*w**3 - w**2 - w + 1. Calculate the remainder when z(1) is divided by b.
6
Suppose 2*c = -0*c + 20. Let i = 16 + c. Let p(b) = 15*b**2 - 1. Calculate the remainder when i is divided by p(-1).
12
Suppose -f = 5, -4*i + 2*f = f - 9. Let j = 1 + i. Suppose j*o - 6*o + 76 = 0. Calculate the remainder when o is divided by 10.
9
What is the remainder when (6 + 3 + -1)*1 is divided by 5?
3
Suppose q + 3*j + 24 = -2*j, 3*j + 24 = -3*q. Calculate the remainder when (q/14)/(2/(-14)) is divided by 2.
0
Let f = 48 + -6. Calculate the remainder when f is divided by 11.
9
Let t(v) = -v**2 + v + 7. Let h = 21 - 15. Calculate the remainder when 24/3*h/4 is divided by t(0).
5
Let t = -12 + 11. What is the remainder when 16 is divided by t/((-3)/3)*9?
7
Suppose 5*x = 11 + 29. What is the remainder when (-1 - -1) + (-5 - -20) is divided by x?
7
Calculate the remainder when 1 - (-96)/9 - (-1)/3 is divided by 3.
0
Let d = 253 + -144. What is the remainder when d is divided by 28?
25
Let y(j) = j**3 + 5*j**2 + 4*j + 3. Let i be y(-4). Suppose -2*p = i*p - 260. Calculate the remainder when p is divided by 18.
16
Let s(o) = 2*o + 8. Let k be s(9). Suppose 3*n = k + 7. Let m = 10 - -11. What is the remainder when m is divided by n?
10
Let g = 16 - -33. What is the remainder when g is divided by 19?
11
Suppose -126 = -2*c + 3*j, -2*j = -c + 38 + 25. What is the remainder when c is divided by 22?
19
Suppose -3*q = -42 - 12. What is the remainder when 35 is divided by q?
17
Calculate the remainder when (16 + 1)/(1/1) is divided by (-1 - 6/(-17 + 5))*-18.
8
What is the remainder when (5/5)/((-145)/146 - -1) is divided by 15?
11
Suppose z + 2*z - 4*f = 79, f - 2 = 0. Suppose 27 = 2*i - z. Calculate the remainder when i is divided by 10.
8
Suppose -4*b + 4*t + 234 = 2*t, -2*t = -10. Let i = 14 - -2. Calculate the remainder when b is divided by i.
13
Suppose -4*f - 135 = -7*f. Suppose -s + f = 13. Calculate the remainder when s is divided by 17.
15
Let c = -15 - -52. Let r = c + -20. What is the remainder when r is divided by 9?
8
Suppose g = 4*j - 1, 3*j - 2*j = -2. Let k = 16 + g. Calculate the remainder when 18 is divided by k.
4
Suppose 0 = -2*w - 14 + 38. Calculate the remainder when 57 is divided by w.
9
Let s(d) = -3*d**3 - 14*d**2 + 7*d + 16. Let c(f) = -2*f**3 - 13*f**2 + 8*f + 15. Let n(v) = 4*c(v) - 3*s(v). What is the remainder when n(9) is divided by 11?
8
Suppose -5*u = 25, -58 = -2*z - 2*u + 4*u. Let b = -19 - z. Calculate the remainder when (-1)/3 - b/3 is divided by 5.
4
Let g(z) = z**2 + 5*z. Calculate the remainder when (23/(-3))/((-1)/3) is divided by g(-6).
5
Let z be (8/3)/((-4)/(-6)). Calculate the remainder when 38 is divided by (12/z)/(3/10).
8
Suppose -15*n + 20*n = 85. Calculate the remainder when 48 is divided by n.
14
Suppose 4*b + 120 = 48. Let g be (b/12)/((-2)/(-4)). Calculate the remainder when 4 is divided by g/((-2)/(-4)*-3).
0
Suppose -2*l - l = 3. What is the remainder when (1 + 96/(-3))/l is divided by 8?
7
Let d(w) = w**3 + 10*w**2 + 3. Let r = 9 - 19. Let u be d(r). Suppose 0*q + u*q = 21. What is the remainder when 12 is divided by q?
5
Suppose 6 = 3*f - 9. What is the remainder when 8 is divided by f?
3
Let j = 47 + -29. What is the remainder when 49 is divided by j?
13
Let l(y) = 3*y + 1. Let u be l(-1). Let g = 7 + u. Suppose 15 = g*q - 10. What is the remainder when 19 is divided by q?
4
Suppose -i + 0*a + 16 = -5*a, -4*i - 3*a + 64 = 0. Calculate the remainder when 31 is divided by i.
15
Let b = -41 + 51. Suppose -5*u + 3*z = -8 + 241, 4*u = -z - 183. Let m = u + 85. Calculate the remainder when m is divided by b.
9
Suppose -25 = -3*u - 1. Let z be (-2)/u + (-20)/(-16). What is the remainder when 7 is divided by ((-12)/16)/(z/(-4))?
1
Let r(w) = 2*w - 3. Let m be r(5). Let d = m - 5. Suppose -17*q + 10 = -12*q. What is the remainder when q is divided by d?
0
Let t(z) = -2*z**3 - z**2 - 2. What is the remainder when t(-3) is divided by (-7)/(-1) - (-6 - -2)?
10
Let y = 6 + 0. Suppose -i - y = -2*b, -5*b - 4*i = -2*i + 3. Calculate the remainder when 37 is divided by -2 + b + 18 - -2.
18
Suppose -8 - 8 = -4*w. Suppose -w*t - r + 9 = 0, r = -4*t + 4*r + 5. Let j(a) = 3*a. What is the remainder when 9 is divided by j(t)?
3
Suppose 2*f - 72 = -2*f. Let y(l) = 2*l**2 + l. Let v be y(5). Let s = v - 21. Calculate the remainder when s is divided by f.
16
Let l(m) = 2*m**2 - 7*m - 5. Let y(p) = 6*p**2 + 2*p - 1. What is the remainder when l(6) is divided by y(1)?
4
Calculate the remainder when 45 is divided by (-21 - (1 + 1))/(-1).
22
Calculate the remainder when 119 is divided by (-1 + -4)*240/(-50).
23
Let x(z) = 6*z + 2. Let v be x(1). Suppose -a - v + 29 = 0. Calculate the remainder when a is divided by 8.
5
Suppose -4*n + p + 22 - 7 = 0, -3*n = 2*p - 3. Suppose -25 = -n*s - 7. Calculate the remainder when 3 + 26*3/s is divided by 6.
4
What is the remainder when 35 is divided by (-4 + 11)*24/(-14)*-1?
11
Let h = -57 + 67. Let l = 27 - 8. Calculate the remainder when l is divided by h.
9
Suppose -176*o + 20 = -175*o. Let l(u) = u**3 - 2*u**2 - u - 4. Let b be l(3). Suppose b*p - 7*p + 55 = 0. Calculate the remainder when o is divided by p.
9
Suppose -72*k + 66*k + 708 = 0. Calculate the remainder when k is divided by 24.
22
Let i(k) = 2*k**3 - 4*k**2 + 4*k - 2. Calculate the remainder when 82 is divided by i(3).
26
Suppose -86 = -l + o, -4*l - o + 250 = -l. Let n = 5 + -55. Let s = l + n. What is the remainder when s is divided by 18?
16
Let d(j) = -j + 6. Let r(h) = -h**3 + 9*h**2 + 8*h + 9. Let c be r(10). Let s = 27 + c. What is the remainder when s is divided by d(0)?
4
Suppose n = 46 - 29. Suppose -j - 10 = -5. Let r(o) = -o + 5. Calculate the remainder when n is divided by r(j).
7
Let b = 15 - 13. Suppose w + 3*k - 30 = -0*w, -b*w + 68 = 2*k. Calculate the remainder when w is divided by 19.
17
Suppose -3*b + 5 = -4, -4*b = 4*a - 132. Calculate the remainder when a is divided by 9.
3
Let r(a) = -a + 1. Let l be r(-4). Suppose l*m - 130 + 5 = 0. Suppose 43 + 28 = 5*h + 3*k, 2*k - 69 = -5*h. Calculate the remainder when m is divided by h.
12
Let l be ((-30)/8)/((-2)/(-8)). Suppose -5*i = -5*g - 33 - 2, 2*g + 2 = 0. Calculate the remainder when 38 is divided by 102/5 + i/l.
18
Let b(s) = s**2 - 4*s + 5. Let y be b(4). Suppose 3*o = 15, 0*o + 2 = 2*x - 2*o. Calculate the remainder when 4 is divided by 6/y*15/x.
1
Suppose -3*h - 40 = -2*q, -2*h - 16 = -q + 5. Calculate the remainder when 43 is divided by q.
9
Let a = 67 + -111. Let p = 69 + a. Suppose -3*j + 15 = -12. Calculate the remainder when p is divided by j.
7
Let r(i) = i**2 - 10*i - 13. Let f be r(11). What is the remainder when 4/(-2)*(-54)/4 is divided by f + 17 - 1/1?
13
Suppose 3*x = -2*c + 14, 2 = 2*c - c - x. Calculate the remainder when 14 is divided by c.
2
Let s = 3 + 2. Calculate the remainder when 18 is divided by s.
3
Let c(t) be the third derivative