8. Suppose 3*m - 49 = d, m - f = 3*d - 7*d. What is the remainder when m is divided by 10?
8
Suppose 0 = 2*r - r - 5*a - 22, 2*r - 20 = 2*a. Suppose 4*q = -24 + 72. What is the remainder when q is divided by r?
5
Let a(i) = -7*i + 3. Calculate the remainder when 47 is divided by a(-3).
23
Let v = 21 - 5. Calculate the remainder when v is divided by 5.
1
Suppose 2*k - 14 = 4*i - 208, 2*k = -2*i + 112. What is the remainder when i is divided by 13?
12
Suppose -7*s + 9*s = -36. Calculate the remainder when (8 - 11)/(2/s) is divided by 10.
7
Suppose -2 - 1 = -3*x, -5*x - 150 = 5*c. Calculate the remainder when c/(3/((-6)/2)) is divided by 8.
7
Suppose 2*y = -2*y. Suppose y = -4*s + 95 - 15. Let g(r) = r**3 - 5*r**2 + 5*r + 3. Calculate the remainder when s is divided by g(4).
6
Calculate the remainder when 117 is divided by -1 + -2*(-9)/6 - -18.
17
Let d(o) = o**2 - 4*o + 2. Calculate the remainder when 87 is divided by d(7).
18
Let j(k) = k**2 - 3*k. Let o be (-228)/(-14) - (-6)/(-21). Suppose q + 2 = o. What is the remainder when j(8) is divided by q?
12
Suppose -3*t = 12, 5*r - 114 = -0*r - 4*t. What is the remainder when 152 is divided by r?
22
Let g(h) = h**2 - 4. Let w be g(4). Suppose 4*a - 5*j - w = a, -2*j = -5*a + 20. What is the remainder when 10 is divided by a?
2
Suppose 4*k - 3*q = -31, -5*q - 45 = -0*k + 3*k. What is the remainder when (-2)/6 - (-92)/6 is divided by 4/(-2) - k/1?
7
Suppose 0*p + 3*p - 3*b = 27, 48 = 4*p - b. Let o(l) = l**3 + 3 + p*l + 2 - 7*l**2 + 1 - 5*l. Calculate the remainder when o(6) is divided by 7.
4
Suppose -3*l = -8*l - t + 12, -4*l = 5*t - 18. Calculate the remainder when 5 is divided by l.
1
Suppose 4*i - 2*q - 112 = 114, 5*q = -25. Calculate the remainder when i is divided by 14.
12
Let m = -49 + 74. Suppose -7*b + 9*b = 96. Calculate the remainder when b is divided by m.
23
Let f = 41 - 126. Let k = 132 + f. Let g = 4 + 12. Calculate the remainder when k is divided by g.
15
Suppose -5*l = -10, -l - 15 + 3 = -w. Suppose 4*r + w = 2. Let v(q) = -3*q + 1. Calculate the remainder when 39 is divided by v(r).
9
Suppose -u - 5 = -6. What is the remainder when 32 - (2 - 1)/u is divided by 11?
9
Suppose -2*k + 5 = -3*k, -3*q + 19 = -2*k. Let j be (-12)/(-18)*q/2. Let i = j + 6. Calculate the remainder when 12 is divided by i.
5
What is the remainder when 2 + -2 + 2 + 53 is divided by 29?
26
Suppose 0*w = -5*w + 700. Suppose c = 5*j - 6*j + 32, 0 = -5*j + 5*c + w. What is the remainder when j is divided by 16?
14
Suppose 3*b + 2*q = 70, 0 = -5*b + 5*q + 37 + 88. Calculate the remainder when 43 is divided by b.
19
What is the remainder when 37 is divided by (-3)/5 - (-490)/25?
18
Let i = 111 - 85. Calculate the remainder when 154 is divided by i.
24
Suppose 3*i + 3*q = -15, 16 + 4 = -5*q. Let k(x) = 2*x**3 + x**2 - x - 1. Let y be k(2). Let n = y - i. Calculate the remainder when n is divided by 10.
8
Let c(a) = -a**3 + 14*a**2 + 17*a + 13. Calculate the remainder when c(15) is divided by 9.
7
Suppose -4*x - 3*f - 14 = -222, 5*x = 2*f + 260. What is the remainder when x is divided by 14?
10
Let q be 36/(-21) - (-4)/(-14). Calculate the remainder when q/8 + (-498)/(-8) is divided by 21.
20
Suppose -2*v = -22 - 2. What is the remainder when 34 is divided by (v/(-2))/((-8)/12)?
7
Let z(k) = 2*k - 4. What is the remainder when 2*62/12*3 is divided by z(6)?
7
Let b = 21 + -10. Calculate the remainder when b is divided by 3.
2
Suppose 3*j = 4*p + 2*j - 73, j + 1 = 0. Let v = p - 3. What is the remainder when 43 is divided by v?
13
Let h = 12 + -5. Let s(t) be the first derivative of -t**4/4 + 7*t**3/3 + t**2/2 + 4*t + 1. Calculate the remainder when 21 is divided by s(h).
10
Suppose 5*x - 85 = -5*u, -u = 5*x - 5*u - 85. Let f = 182 + -115. What is the remainder when f is divided by x?
16
Suppose 17 + 13 = 2*p. Let d(s) = s**3 - 4*s**2 - 8*s + 7. Let k be d(5). Let y = -2 - k. What is the remainder when p is divided by y?
3
Suppose 2*h + 53 = 233. What is the remainder when h is divided by 23?
21
Suppose 21 = 12*n - 11*n. Calculate the remainder when 80 is divided by n.
17
Suppose -5*j + j + 28 = 0. Let d(m) = 6*m + m + m**3 - j*m**2 - 10 - 4*m. Calculate the remainder when d(8) is divided by 20.
18
Let u(m) = 3 - 4*m - 7 - 2. Calculate the remainder when 28 is divided by u(-4).
8
Let u(m) = 8*m**2 + 6*m + 3. Let w(a) = -9*a**2 - 7*a - 3. Let n(z) = 6*u(z) + 5*w(z). What is the remainder when n(-3) is divided by 14?
13
Suppose -4*n + 0*n + 76 = 0. Suppose -2*w - 17 = -3*k, -k + 8*w + n = 4*w. Suppose k*g = -g + 140. Calculate the remainder when g is divided by 12.
11
Suppose 0 = -3*b - 2*t - 34 + 99, 5*b = -5*t + 100. Calculate the remainder when 97 is divided by b.
22
Calculate the remainder when 4 - 5 - 2*-15 is divided by 11.
7
Suppose 255 = 5*h - 2*u, 0 = -3*h + u + 154. What is the remainder when h is divided by 9?
8
Suppose 0 = 3*v - 4*v + 5. Suppose 2*q + 59 = -2*o + v*o, 6 = 3*q. What is the remainder when o is divided by 11?
10
Let y(p) = 4*p - 12. Suppose 0 = -4*t - t + 55. Calculate the remainder when y(t) is divided by 11.
10
Let v be (-3 - -1) + 6 + -1. Suppose -h - 3*a + 31 = 0, 0 = -v*a - 1 + 10. What is the remainder when 87 is divided by h?
21
Suppose -5 = -2*u + 3. Suppose -5*z + 146 = 4*f - 3*f, 0 = 3*z - u*f - 83. Calculate the remainder when z is divided by (6 - 5)/((-1)/(-10)).
9
Let k = -49 + 132. What is the remainder when k is divided by 22?
17
Let v = -4 - -35. Calculate the remainder when 185 is divided by v.
30
Suppose 3*h - 37 + 13 = 0. What is the remainder when 15 is divided by h?
7
Let g be 55/(-11)*8/(-10). Let d(k) = k**3 + 8*k**2 + g*k**2 - 4*k - 4*k**2 - 10. Calculate the remainder when d(-8) is divided by 12.
10
Suppose 1 = -o + 5. Let t(j) = j + 9. Let u be t(-7). Suppose u*f - k = 35, -3*f = 6*k - 2*k - 25. Calculate the remainder when f is divided by o.
3
Let d = -8 + 22. Suppose 3*f = -58 - 59. Calculate the remainder when (-24)/(-9)*f/(-4) is divided by d.
12
Suppose 88 = 4*b - 76. What is the remainder when 81 is divided by b?
40
What is the remainder when 95 is divided by (-125)/(-10) + 1/(-2)?
11
Let o(r) = r**2 + 10*r + 3. Let q be o(-7). Let l = q - -58. Suppose -30 = -3*k + 12. Calculate the remainder when l is divided by k.
12
Let g(h) = 17*h + 2. Let u(w) = -w - 7. Let l be u(-7). Suppose 2*n - 2 = -0*n - r, n - 5*r - 23 = l. Calculate the remainder when g(n) is divided by 14.
11
Let m(r) = r**3 - 5*r**2 + 2. Let t be m(5). Suppose -5*v + 10 = 0, -5*n - t*v + 14 = -10. Let j = n + 11. What is the remainder when 43 is divided by j?
13
Let v(y) = -y + 7. What is the remainder when 52 is divided by v(-4)?
8
Suppose 3*k - 5 = -17. Calculate the remainder when ((-5)/(-3))/(2/12) is divided by (-9)/k*8/3.
4
Suppose 0 = -4*i + 2*k + 32, -i - 1 + 0 = 4*k. Suppose -2*l - r = -i - 24, r = -4*l + 59. Calculate the remainder when 25 is divided by l.
11
Let g(r) = -11*r - 9. Calculate the remainder when 63 is divided by g(-2).
11
Suppose 3*t = 28 + 29. What is the remainder when 37 is divided by t?
18
Suppose 0 = g + 3 + 1. Calculate the remainder when 2*(-2 - 110/g) is divided by 13.
12
Let p(x) = 3*x**2 + 4*x + 2. Calculate the remainder when 33 is divided by p(-3).
16
Let z = 22 + 9. Calculate the remainder when z is divided by 2.
1
Suppose -m = -4*m + 12. What is the remainder when (-1 - -2)/(m/72) is divided by -1 - ((-12)/1)/2?
3
Suppose -25 = 2*p - 83. What is the remainder when 82 is divided by p?
24
Suppose -2*c - 3 = 1, 2*w + 5*c = 104. What is the remainder when w is divided by 30?
27
Suppose -4*t - 4*y = -20, -2*t - 16 = -6*t - 3*y. What is the remainder when 2 is divided by t?
0
Let m = -62 + 104. Suppose -2*u = -3*u + 22. What is the remainder when m is divided by u?
20
Let d = 57 - 45. What is the remainder when 21 is divided by d?
9
Let m(n) = -3*n + 4*n + n**2 + n - n + 22. What is the remainder when 64 is divided by m(0)?
20
Let h = 26 - 14. Calculate the remainder when 23 is divided by h.
11
Suppose 4*k - 3*k = 2. Let l = 2 - 7. Let f = -3 - l. What is the remainder when f is divided by k?
0
Let f be 0*3/(-6)*2. Suppose 3*l + 5*k - 30 = f, 5*l - 2*k = 4 + 46. Suppose -60 = 5*b - l*b. Calculate the remainder when 34 is divided by b.
10
Let w = 10 - 7. Suppose 