 What is the remainder when 163 is divided by b?
11
Let m = 1 + -5. Let r = m - -3. Calculate the remainder when r/(2/8*-1) is divided by 3.
1
Suppose 54 = -5*s + 2*s + 2*h, -2*s - h = 36. Suppose 30 = 6*v - 16*v. Let t = v - s. Calculate the remainder when 43 is divided by t.
13
Let j = 1555 - 1291. What is the remainder when j is divided by 75?
39
Let q = -293 - -122. Let a = q - -251. What is the remainder when a is divided by 1/(0 + (-2)/(-54))?
26
Let y be -12*(1/(-5) - 2/15). Suppose 2*u - 148 = -2*u + 3*d, y*u - 5*d - 148 = 0. Calculate the remainder when 68 is divided by u.
31
Let w(s) be the second derivative of -2*s**3/3 - s**2/2 + 3*s. Calculate the remainder when 42 is divided by w(-4).
12
Let d = -564 + 862. What is the remainder when d is divided by 75?
73
Let i(c) = -c**2 + 53*c + 111. What is the remainder when 274 is divided by i(54)?
46
Suppose 5 = -5*m, -3*m - 134 - 251 = -2*q. Calculate the remainder when q is divided by 15.
11
What is the remainder when 194*(60/(-45) + 46/12) is divided by 6?
5
Let f = 6176 + -5963. Suppose -l = 2*l - 108. Calculate the remainder when f is divided by l.
33
Let k = -67 - -80. Calculate the remainder when (17 + 3)/((-4)/(-10)) is divided by k.
11
What is the remainder when 122 is divided by (-171)/(-7) + 8/42*3?
22
Suppose y - 5*q = -18, -y - 2*q - 10 = -5*q. Suppose y*p = -5*f + 46, 3*p + 0*p - 33 = -3*f. What is the remainder when f is divided by 5?
3
Suppose 1 = -2*v + 7. Suppose -2*g = -2*t - 26, 0 = -3*t - 0*t + 3. Let w = g - v. What is the remainder when 20 is divided by w?
9
Let l(s) = -36*s + 24. Let m be l(-12). Suppose n + 3*n = m. Calculate the remainder when n is divided by 39.
36
Let x(a) = 2327*a - 6946. What is the remainder when ((-1)/2)/(1/(-412)) is divided by x(3)?
31
Suppose 0 = -5*n + 190 + 215. Suppose 2*u + u + 3*o = n, 4*u + 5*o = 107. Let q = 47 - u. Calculate the remainder when q is divided by 10.
9
Let m = 20 - -37. Let w = -8 + 23. Calculate the remainder when m is divided by w.
12
Let f = -120 - -131. Let s = -45 + 77. Calculate the remainder when s is divided by f.
10
Let i = -18 - -14. Let v be 2 - -7 - (i + 2). Suppose -4*m + 189 = -v. What is the remainder when m is divided by 13?
11
Suppose 3*j = 2*h + 97, -4*h - 197 + 32 = -5*j. Calculate the remainder when j is divided by 11.
7
Let j(m) = 5*m - 10. Let q(c) = 15*c - 31. Let l(r) = -8*j(r) + 3*q(r). Suppose 15 = 2*v + 3. What is the remainder when 32 is divided by l(v)?
15
Suppose -4*k + 4*x = -1500, -4*x + 750 = 2*k - 3*x. What is the remainder when k is divided by 14?
11
Let c be (-13 - 2)*(-4)/6. Let l = 15 - c. Calculate the remainder when (1 + (-4)/l)*5 is divided by 1.
0
Let z(p) = p**2 + p + 1. Suppose -5*k - 12 = -8*k. Suppose 5*g + 29 = 2*g - k*w, 2*g - w + 1 = 0. What is the remainder when 31 is divided by z(g)?
3
Let w = 1048 - 984. Calculate the remainder when ((-48)/(-20))/((-2)/(-265)) is divided by w.
62
Let w = 30 + -13. Let h(g) = 3*g + 321. Calculate the remainder when h(-97) is divided by w.
13
Suppose -8*y + 913 - 81 = 0. What is the remainder when y is divided by 18?
14
Suppose -5*l = y - 7, -y = 5*l + y - 4. Calculate the remainder when 5 - 1*(0 + -1) is divided by l.
0
Let n = 54 - 36. What is the remainder when 28 is divided by n?
10
Let n = -81 + 85. Suppose n*m = 2*c - 80, -2*c + 10 = -c + 4*m. Calculate the remainder when 84 is divided by c.
24
Let c(v) = 2*v**2 + 13*v - 21. Let m(k) = -3*k**2 - 20*k + 31. Let t(w) = 7*c(w) + 5*m(w). Let s = 27 - -3. Calculate the remainder when s is divided by t(-9).
6
Suppose 53 = 2*t + 5*x, -6*x - 80 = -2*t - 2*x. Let b be (12/(-15))/(8/40). Let i(v) = 5*v**2 - 6*v - 5. Calculate the remainder when i(b) is divided by t.
31
Suppose -104 = -5*y + 16. Suppose -c - 81 = 2*p - 4*p, 4*c - 4 = 0. Suppose -2*u + 11 = -5*g - 32, 4*u - p = g. Calculate the remainder when y is divided by u.
6
Let m(x) = 46*x**2 - 7*x - 4. Calculate the remainder when m(-2) is divided by 49.
47
Let t be ((-18)/2)/(3/(-4)). Let c(o) = 2*o - 20. Calculate the remainder when 11 is divided by c(t).
3
Suppose 0 = -3*r - 2*r + 2*k + 621, 5*k - 10 = 0. Calculate the remainder when r is divided by -3*(-2)/(-3)*-16.
29
Let y(r) = -r**2 + 29*r - 177. Suppose -5*q - 12 = -2*s, -2*q - 3 = -2*s + 15. Calculate the remainder when s is divided by y(20).
2
Suppose 17*n = 20*n - 147. What is the remainder when 489 is divided by n?
48
Let s = 184 - 171. Calculate the remainder when 139 is divided by s.
9
Let y = 29 + -11. Suppose -y*x + 168 = -11*x. Calculate the remainder when 69 is divided by x.
21
Suppose 0 = -4*n + 5*s + 26, s + 29 = 5*n - 14. Let d = -12 + n. Let u(l) = -6*l + 2. What is the remainder when u(d) is divided by 7?
6
Suppose 0 = 4*j - s - 15 - 40, 5*s = j - 28. Let b(g) = -2*g - 8. Suppose 2*x + 4 = -8. What is the remainder when j is divided by b(x)?
1
Suppose -2*w + 3*i - 7 = 3*w, i + 1 = 0. Let j be 0*(5/w)/(-5). Suppose -c + 6 = 3*p, j = -5*c + 4*p + 8 + 3. Calculate the remainder when 8 is divided by c.
2
Let o(g) = -6*g - 3. Let x be 3/(-2)*6/3. Let k(w) = w**3 + 7*w**2 + 9*w + 2. What is the remainder when o(x) is divided by k(-2)?
3
Let b = -425 + 649. What is the remainder when b is divided by 42?
14
Let s(d) = 63*d**2 + 19*d + 72. What is the remainder when s(-3) is divided by 31?
24
Suppose 0 = a + 2 - 0, 0 = -3*f + 5*a + 196. What is the remainder when f is divided by 951/30 - (-12)/40?
30
Suppose 0 = -2*b + 2*d + 46, 54*d - 55*d = 4. Let t(y) = 16*y - 5. Calculate the remainder when t(5) is divided by b.
18
Suppose -2*a = -v - 0*v - 11, -2*a = 3*v + 49. Let r = v + 20. Suppose -3*o + 70 = r*f - 58, -144 = -5*f + o. Calculate the remainder when f is divided by 10.
8
Suppose -4*a - 176 = -4*w, 8*w - 3*w + 4*a = 247. Suppose 44 = r - w. Suppose -y + 4 = 0, -2*y + 50 = k + 11. What is the remainder when r is divided by k?
29
Suppose -d - v + 7 = -2, 4*v + 20 = 0. Let n = 2 - -63. Calculate the remainder when n is divided by d.
9
Calculate the remainder when (32/6)/(14*8/15792) is divided by 63.
59
Suppose 5*j - 2515 + 910 = 0. What is the remainder when j is divided by 47?
39
Let p = -509 + 517. Calculate the remainder when 60 is divided by p.
4
Suppose -27 = 8*f + 29. Suppose -b = -6*b - 4*m + 26, 5*m - 19 = -4*b. What is the remainder when 55 is divided by ((-38)/b)/(f/21)?
17
Let o(r) = r**3 - 13*r**2 + 11*r + 20. Suppose 5 = -2*a + 29. What is the remainder when 23 is divided by o(a)?
7
Let d = -74 + 87. Let o(k) = k**2 + 2*k + 3. Let p be o(-2). Suppose -18 = -p*u + u + 2*q, -4*u + 5*q = -37. Calculate the remainder when d is divided by u.
5
Suppose 27*a = -868 + 4405. Calculate the remainder when 346 is divided by a.
84
Let q = -51 - -88. Suppose 0 = -3*k + 2*k + q. Let j = k - 26. Calculate the remainder when 29 is divided by j.
7
Let b = 3 + 7. Suppose b = 5*d - 10, -d + 24 = 2*y. Calculate the remainder when y is divided by 4.
2
Let h = 45 - 10. Calculate the remainder when h is divided by 21.
14
Let g(x) = x**3 + 12*x**2 + 13*x + 24. Let m be g(-11). Suppose -4*v - m*f + 34 = -20, 3*v - 28 = -4*f. Calculate the remainder when 45 is divided by v.
13
Let t be (-3)/2*(-8)/6. Suppose -4*y - 2 = -t*u + 16, 0 = -3*u - 5*y + 49. Let a(v) = 39*v - 1. Calculate the remainder when a(1) is divided by u.
12
Calculate the remainder when 62 is divided by (-299)/(-46) + (-3)/(-2).
6
Let f(t) = -2*t + 7. Calculate the remainder when f(-16) is divided by 10.
9
Let o(p) be the second derivative of p**5/20 - p**4/12 - p**3/6 + p**2/2 - 5*p. Let w be o(1). What is the remainder when 5 is divided by (-3)/(1/(-1 + w))?
2
Let r = -31 - 20. Let k = r - -79. Calculate the remainder when 54 is divided by k.
26
Suppose -4*f = -6*f + 4. Suppose x - 1 + 0 = 0. Calculate the remainder when f is divided by x.
0
Suppose 3*t + x = 24, 0*t - 3*x = -2*t + 5. Let i be 54/6*(-2 + 1). Let m = 18 - i. Calculate the remainder when m is divided by t.
6
Suppose -17*d + 6*d = -4389. What is the remainder when d is divided by 40?
39
Let m be -3 - (-3 - 10/5). Suppose -h - 4*h = -2*u + 15, -m*u + h + 27 = 0. Calculate the remainder when 42 is divided by u.
12
Suppose 0 = -2774*c + 2780*c - 216. What is the remainder when 52 is divided by c?
16
Let n(r) = r - 11. Let f be n(11). Suppose f = 2*