when b is divided by 6?
4
Suppose 5*s - 6 = 9. Suppose -s*u - 75 = -8*u. What is the remainder when 4/(-6) - (-340)/u is divided by 13?
9
Let m(v) = v**3 + 10*v**2 - 4*v - 10. Suppose 8*b - 47 + 127 = 0. Let u be m(b). Suppose -7*p = -2*p - u. Calculate the remainder when 15 is divided by p.
3
Let n = -74 - -107. Calculate the remainder when 65 is divided by n.
32
Suppose -7*d + 1439 = -612. What is the remainder when d is divided by 75?
68
Let t be 108 + 20/30*(-6)/4. Let z = t - 74. What is the remainder when z is divided by 9?
6
Let b = -22 + 29. Suppose -105 = -b*k + 336. Let r = 128 - k. Calculate the remainder when r is divided by 33.
32
Let w be 2*(-4 - 2)/(-3). Suppose -w*m = -2*r + 128, -r + 5*m = m - 54. What is the remainder when r is divided by 19?
17
Let o(w) = -w**3 - 12*w**2 - 7*w - 48. Let i be o(-11). Let c = 188 + i. What is the remainder when c is divided by 10?
6
Suppose -3*c = 5*q - 5 - 77, 0 = -4*c - 4. What is the remainder when 33 is divided by 5/(-10)*(-2 - -1 - q)?
6
Let c be ((-4992)/(-3))/(2/2*1). Suppose 5*o - c + 279 = 0. Calculate the remainder when o is divided by 20.
17
Let n(d) = d**3 + 2*d**2 - 11*d + 23. Let u(l) = -l + 1. Let o be u(-9). Suppose -y + x = -o, 0*y - 2*x = 2*y. What is the remainder when y is divided by n(-5)?
2
Suppose -93 = -5*p + 42. Let d = -6 - 6. Let i = p + d. What is the remainder when 42 is divided by i?
12
Let x(t) = t**3 + 6*t**2 - 7*t - 6. Let u be x(-7). What is the remainder when 135 is divided by -4*(4 + 93/u)?
43
Suppose -25*f - 13*f = -760. Suppose -2*z + 118 = -0*z. What is the remainder when z is divided by f?
19
Let n(f) = -f + 2. Let j be n(-3). Suppose -2*s + 16 + 52 = 0. What is the remainder when (-70 + j)/((-1)/1) is divided by s?
31
What is the remainder when 0 - (0 - -3) - -90 is divided by ((1*-2)/(-2))/((-1)/(-11))?
10
Let l = -12 + -4. Let q = -7 - l. Suppose 6 = q*x - 6*x. What is the remainder when 3 is divided by x?
1
Let k = 38 - 33. Suppose 2*g + 3*w - 39 = 0, 30 = k*g - 4*w - 79. What is the remainder when 56 is divided by g?
14
Suppose 5*n = -3*a - 38, -2*a + n = 11 - 3. Calculate the remainder when 167 + a/(-2) + -4 is divided by 24.
22
Let r = 6 + 22. Suppose -s - 1 = -r. Suppose 2*w + 30 = 5*w. Calculate the remainder when s is divided by w.
7
Suppose 2*o - 55 = -3*m, -5*m = 7*o - 3*o - 89. Calculate the remainder when 59 is divided by m.
17
What is the remainder when 80 is divided by 7/(-42) - (-489)/18?
26
Suppose 3*j - 19 = -j + m, -30 = -5*j - 5*m. Let u = j - -39. Let c = 18 + u. What is the remainder when c is divided by 16?
14
Suppose 0 = -0*d - 5*d + 25. Suppose 2*a = -55 + 83. Suppose -15*j = -a*j - 17. What is the remainder when j is divided by d?
2
Suppose 48 + 42 = 2*l. Suppose 2*p = 5*p - 114. Calculate the remainder when p is divided by (l/(-10) - -4)*-20.
8
Suppose g + 1869 = 22*g. Calculate the remainder when g is divided by 23.
20
Let p = -277 - -357. Calculate the remainder when 231 is divided by p.
71
Suppose z - 4 = j + 16, 80 = 4*z - j. What is the remainder when 178 is divided by z?
18
Suppose -5*n = -n - 188. Calculate the remainder when (92 - (0 - 1))*(-16 - -32)/16 is divided by n.
46
Let a(u) = u**2 + 30*u + 65. What is the remainder when a(-30) is divided by 24?
17
Suppose 0*f - 4*f - 4 = 0, -2*f = 4*n - 18. Suppose 5*o + 4*i + n = 45, 5 = 5*o - 3*i. What is the remainder when o is divided by 1?
0
Let b(z) = z**3 + 7*z**2 - 2*z - 2. Let n(j) = j**3 + 12*j**2 - 63*j + 28. Calculate the remainder when b(-6) is divided by n(-16).
10
Let d(k) = -k**2 + 6*k - 2. Suppose 2*f - 70 = -20. Let q = f + -21. Calculate the remainder when d(q) is divided by 6.
0
Suppose 685*m = 679*m + 462. What is the remainder when m is divided by 41?
36
Suppose -u = 3*h - 16, -u - 2*u + 5*h = -20. Calculate the remainder when u is divided by 3.
1
Suppose 3*i + 121 = n, 2*n + 3*i - 222 = -7. What is the remainder when n is divided by 29?
25
Calculate the remainder when ((-5)/(-15) - -4)*(-1 + 40) is divided by 29.
24
Suppose 4*m = 3*j + 211, -5*m - 4*j + 135 = -90. Let v = -5 + 15. Calculate the remainder when m is divided by v.
9
Suppose -c + 5*h = -29, -15*c = -19*c - 4*h + 140. Calculate the remainder when 1016 is divided by c.
30
Let v = 1 - 0. Let j be (-27)/(-126)*2 - (-8)/14. Calculate the remainder when (-1)/(v/(-23)*j) is divided by 9.
5
Let s(d) = 4*d - 64. Let q be s(17). Suppose -5*j + 17 + 48 = -q*u, 0 = -3*j - 5*u + 39. Calculate the remainder when 72 is divided by j.
7
Suppose -121 = 3*p - 133. Suppose -3*g + 85 = p*t, -5*g + 2*g = -4*t - 101. What is the remainder when 122 is divided by g?
29
Suppose -10*f + 10 = -8*f. Let t(m) be the first derivative of m**4/2 - 2*m**2 + 5*m - 6. Calculate the remainder when t(2) is divided by f.
3
Let v = 6 - 4. Suppose -4*i - 106 = -v. Let l = i + 55. What is the remainder when l is divided by 17?
12
Let f(j) = 47*j - 3 - 99*j + 49*j - 26. What is the remainder when 157 is divided by f(-15)?
13
Let s(n) = -23*n**3 - n**2 - 11*n + 10. What is the remainder when s(-4) is divided by 21?
19
Let u(i) = -4*i**3 - 15*i**2 - 5*i + 8. What is the remainder when 217 is divided by u(-4)?
41
Suppose 2*f - 761 = -3*m, -3*f = 2*m - 776 + 262. Calculate the remainder when m is divided by 12.
11
Let v(j) = 69*j - 7. What is the remainder when v(3) is divided by 17?
13
Suppose 6*o - 161 + 53 = 0. Calculate the remainder when 84 is divided by o.
12
Suppose n - 4 = 0, -r = 2*r + 3*n - 42. What is the remainder when ((-2)/(r/(-645)))/1 is divided by 46?
37
Let f = -41 - -114. Let g be 1/(-1 - 16/(-14)). Let s = g + 12. Calculate the remainder when f is divided by s.
16
Suppose t + 465 = 3*n, -4*t = -2*n + t + 310. Let h = -86 + n. Suppose -285*u + 6410 = -1771 - 1794. What is the remainder when h is divided by u?
34
Suppose 0 = -17*m + 162 - 9. Let n = 33 - 16. Calculate the remainder when n is divided by m.
8
Let m be 8/28 - 162/(-21). Let p(d) = -d + 10. Let v be p(m). Suppose 6 = -v*o + 54. What is the remainder when 46 is divided by o?
22
Suppose -318 = -18*k + 12*k. What is the remainder when 423 is divided by k?
52
What is the remainder when (-217)/8*-2 + 2/(-8) is divided by 31?
23
Let v(k) = 11*k + 3. What is the remainder when v(8) is divided by 20?
11
Let v = -26 + 58. Suppose -5*k + 17 = 7. Suppose -2*n = k*n - 72. What is the remainder when v is divided by n?
14
Let d(j) be the first derivative of -15*j**2 + j - 15. Calculate the remainder when 123 is divided by d(-1).
30
Let g = 39 + -11. What is the remainder when g is divided by 6?
4
Suppose 4*o + 2*g = 54, -18*g - 60 = -5*o - 23*g. What is the remainder when 479 is divided by o?
14
Let j(i) = i**3 + 7*i**2 + 6*i + 1. Let t be j(-5). Let c be -7*((-747)/t - -3). Suppose -9*p + 5*p = -c. What is the remainder when p is divided by 10?
7
Let q = -141 - -228. Suppose -2*a + 32 = -2. Let v = a + 13. Calculate the remainder when q is divided by v.
27
Let m = -16 - -26. Let j(v) = v**2 - 10*v. Let z be j(m). Suppose -3*y + z = -87. Calculate the remainder when 84 is divided by y.
26
Let q be (-10)/((-2)/(-4)*1*2). Let n(a) = a**2 + 8*a - 3. What is the remainder when 50 is divided by n(q)?
16
Suppose -2*i - 180 = -388. What is the remainder when 200 is divided by i?
96
Suppose -75 = -7*n - 8*n. What is the remainder when (-931)/(-76)*(0 - -4) is divided by n?
4
Suppose 4*o = -4*s + 316, 2*o + 69 = 4*s - 271. Let b = 0 - 41. Let v = b - -58. What is the remainder when s is divided by v?
15
Let l(x) = x**3 + 2*x**2 - 2*x + 6. Let b be l(-3). Suppose b*s - 5*q = 5, q + 45 = 4*s + s. What is the remainder when 18 is divided by s?
8
Let p(l) = -2*l**3 - 2*l**2 + 2*l + 1. Let b be p(-2). Suppose f = b + 4. What is the remainder when f is divided by 2?
1
Suppose 3*g = 5*c - 235, 0 = -4*c + 5*c - 4*g - 47. Calculate the remainder when 130 is divided by c.
36
Let x(r) = 4 - 12*r + 2*r + 4*r + 8*r. Calculate the remainder when 52 is divided by x(7).
16
Suppose 0 = -7*l - 37*l + 27280. Calculate the remainder when l is divided by 18.
8
Suppose -2*t + 205 - 215 = 0, 42 = p - 3*t. What is the remainder when p is divided by 20?
7
Suppose 0 = 43*v - 985 - 606. What is the remainder when v is divided by -3*4/(-6) + 22?
13
Suppose d + 52 = 3*d + m, 5*d + 5*m = 135. Suppose 337