. Calculate the remainder when 635 is divided by j.
47
Let k be (-1 + 0)*(-6)/(-1). Let y = 4 - k. What is the remainder when y is divided by 5?
0
Suppose 25 = -4*x - x, -2*p - 131 = -3*x. Let r = p + 143. What is the remainder when r is divided by 15?
10
Suppose -5*f - 3*a = -27, f + 8*a = 4*a + 19. Suppose -50 = -f*v + v. Let w = 7 + 7. Calculate the remainder when v is divided by w.
11
Suppose 5*t - l + 1 = 36, -t = -l - 11. Let p(z) = z**3 - 138*z**2 - 1172*z - 9. What is the remainder when p(-8) is divided by t?
5
Let g(f) = f + 2. What is the remainder when 0 + 2 + 33 + -29 is divided by g(3)?
1
Suppose -20 = -12*y + 10*y. Suppose -y = x - 3*x - w, 2*x - 16 = -4*w. Calculate the remainder when 19 is divided by x.
3
Let h(q) = q**3 + q**2 - q - 5. Let r = 36 + -81. Let o = r + 63. Calculate the remainder when h(4) is divided by o.
17
Let d(s) = s**2 - 10*s + 47. What is the remainder when 4269 is divided by d(15)?
121
Suppose 5*p = -3*g + 381, p + 4*g - 7*g = 87. Calculate the remainder when 147 is divided by p.
69
Let v(j) = -j**2 - 10*j + 4. Suppose -14*s + 50 = -19*s. What is the remainder when 12 is divided by v(s)?
0
Let w(o) = o**3 + 4*o**2 + o. Let s be (-24)/16*1*2. Calculate the remainder when w(s) is divided by 3.
0
Calculate the remainder when ((2040/35)/4)/((-2)/(-14)) is divided by 47.
8
What is the remainder when (-4)/(-10)*(73 - 13) + -4 is divided by 9?
2
Suppose -58*o + 740 = -48*o. Calculate the remainder when 131 is divided by o.
57
Suppose -5 - 3 = -4*v. Suppose -70 = -3*h - v*h + 5*u, 2*h - 3*u = 32. What is the remainder when 28 is divided by h?
8
Let l(p) = -17*p - 67. What is the remainder when l(-7) is divided by 5?
2
Suppose 0 = -3*w - 2*w + 4*y, -5*w = 2*y - 30. Let c be (-4)/(-5)*210/28. Suppose -c = -2*d + d. What is the remainder when d is divided by w?
2
Let s(i) = -2*i**2 - 4*i**2 - 18*i + 22 + 11*i + i**3 - 4. What is the remainder when 64 is divided by s(7)?
10
Suppose -3*b - 2*i - 4 = 0, 5*b = i + 4 - 2. Suppose b = f + 2 - 5. Calculate the remainder when f is divided by (1 - 2)/(-2) - 35/(-14).
0
Suppose t = 3*t. Let y(v) = -3*v - 12. Let p be y(-8). Let b = t + p. What is the remainder when 34 is divided by b?
10
Suppose -9*a = -3*a - 42. Suppose a*g - 4 = 3*g, 46 = l + 5*g. Calculate the remainder when l is divided by 6.
5
Let h(l) = 6*l - 96. Let a = 12 + -10. Let k(u) = u - 19. Let w(o) = a*h(o) - 11*k(o). What is the remainder when w(5) is divided by 8?
6
Let v = 21 + 11. Let x(s) = s**3 - 10*s**2 + s + 7. What is the remainder when v is divided by x(10)?
15
Let o(m) = 13*m**2 - 1. What is the remainder when (-3 + 9/6 - 0)/((-3)/332) is divided by o(-1)?
10
Let p(h) = 3*h**2 + 4*h - 1. Let a be (0 + -5)*(-12)/(-10). Calculate the remainder when p(a) is divided by -1 + (-87)/(-3) - (44 - 37).
20
Let w be -1*11 - (0 + -1). Let m = w + 52. What is the remainder when m is divided by 15?
12
Suppose 2*c = -2*c - 4, -2*z = -4*c - 86. Let a(n) = -2*n**3 + n**2 + 6*n + 7. What is the remainder when z is divided by a(-2)?
11
Let j = -23 + 28. Calculate the remainder when j is divided by 1.
0
Let y = 43 - 24. Suppose q + y = 2*q. Suppose 7*o - 75 = 6*o. Calculate the remainder when o is divided by q.
18
Let y be 25/(-4) + (-4)/(-16). Let m = 6 + y. Suppose m = s + 2*s - 42. What is the remainder when 54 is divided by s?
12
Let h be -6 + 3 - (-7 + 1). Suppose 38 + 43 = h*s. Let r = 83 + -33. Calculate the remainder when r is divided by s.
23
Let i = -9 + 14. Suppose -q - i*v + 22 = 0, -3*q + 6*q + 14 = 5*v. Suppose -q*s + 132 = s. Calculate the remainder when s is divided by 15.
14
Let t = 240 - -4. Calculate the remainder when t is divided by 21.
13
Let j(w) = -w**3 - w - 2. Let v be j(-2). Suppose -188 - 60 = -v*s. Calculate the remainder when 61 is divided by s.
30
Let p = 334 - 313. Let j = -63 - -123. Calculate the remainder when j is divided by p.
18
Let q(d) = 7*d**2 + d - 3. Let l(y) = y**2 + 4*y - 47. What is the remainder when q(3) is divided by l(-10)?
11
Suppose -2*r + 1964 = 482. Let j be r/143 - 2/11. Suppose -j*v + 16 - 6 = 0. Calculate the remainder when v is divided by 2.
0
Let k(j) = 22*j + 6. Let m be k(-5). Let f = 152 + m. Suppose -5*y + f = -y. What is the remainder when 45 is divided by y?
9
Let k = 416 - 350. What is the remainder when 262 is divided by k?
64
Let p(k) = -34*k - 126. What is the remainder when 14 is divided by p(-4)?
4
Let h(p) be the first derivative of -p**3/3 + 5*p**2 - 12*p - 1. What is the remainder when 19 is divided by h(8)?
3
Let n = -27 + 55. Let y(r) = 2*r**2 - 81. Calculate the remainder when y(9) is divided by n.
25
Let o be 26/39 - 80/(-6). Suppose -19 = -3*h + o. Calculate the remainder when 19 is divided by h.
8
Let x(z) = 2*z - 22. Let v be x(11). Suppose 4*y + 4*w = 220, 2*y + 0*w + w - 107 = v. What is the remainder when y is divided by 18?
16
Let y be 8/8 - (-7)/1. Let q(z) = -2 + y*z - 16*z**3 - 4*z - 5*z. Calculate the remainder when 58 is divided by q(-1).
13
Let m = 5 - -8. Suppose n - 36 = -m. Suppose 71 = s - 18. Calculate the remainder when s is divided by n.
20
Let f(t) = 17*t**2 - 9*t - 18. Calculate the remainder when f(-2) is divided by 23.
22
Suppose -4*a + 0*a + 112 = 0. Calculate the remainder when 1*(4 + a) + 3 is divided by 9.
8
Suppose -5*c = -20, 24 = l + 5*c - 44. Calculate the remainder when l is divided by 13.
9
Suppose -220*o + 5914 + 2006 = 0. Suppose -v + 20 = v + 4*j, 10 = v + 3*j. Calculate the remainder when o is divided by v.
6
Let j(p) = -p**2 + p - 1. Let i(r) = 6*r**2 - 13*r - 13. Let g(y) = -i(y) - 5*j(y). What is the remainder when 26 is divided by g(9)?
8
Suppose -2597 = 13*j - 18145. What is the remainder when j is divided by 63?
62
Let s = -389 - -417. Suppose -5*p + 21 = -29. What is the remainder when s is divided by p?
8
Let c(y) = -y**3 - 17*y**2 - 15*y + 23. Let f be c(-16). Calculate the remainder when (5 + f)*(-2)/(-3) is divided by 5.
3
What is the remainder when 83*1 - 25/(125/(-20)) is divided by 22?
21
Suppose 0 = -4*o - 3*f + 3314, o + f - 108 - 720 = 0. What is the remainder when o is divided by 17?
14
Suppose 4*s = 32*s - 10556. What is the remainder when s is divided by 63?
62
Let z(q) = -q**3 - 4*q**2 + 4*q - 3. Let u be z(-5). Calculate the remainder when 72 is divided by (-9)/36 - u/((-8)/101).
22
Calculate the remainder when 727 is divided by (-35)/10*(-2706)/77.
112
Let k(x) = -9*x + 233. What is the remainder when k(-7) is divided by 83?
47
Suppose 0 = -3*z - 4*w + 19, 14 = 5*z - 4*w - 39. Let i = 18 - z. Calculate the remainder when -52*1/(-3 - -1) is divided by i.
8
Let j(d) = -d**3 + 10*d**2 + 8*d + 5. Let x = -3300 - -3350. What is the remainder when j(6) is divided by x?
47
Suppose -4*h = -0*h + 4*w + 116, -3*h - 4*w = 92. Let p = -8 - h. Calculate the remainder when (0 + -2 - 1)/((-558)/11346) is divided by p.
13
Let m(t) = -29*t**3 + 3*t**2 + 4*t + 2. Let i be m(-2). Let c = 356 - i. Let k(z) = -147*z - 4527. Calculate the remainder when c is divided by k(-31).
28
Let v(c) = -c**2 + 8*c + 67. Calculate the remainder when v(11) is divided by 6.
4
Let i(c) = -3*c - 2. Let b be i(-4). Let n = -6 - -19. What is the remainder when n is divided by (-8 - (-2 - 1)) + b?
3
Suppose 2*h = -h + 45. Suppose -h = 5*w, -n + w + 5 = -2. Suppose -q + 3*r + 20 = -2*r, -17 = -n*q - r. Calculate the remainder when 14 is divided by q.
4
Let b(d) = 3*d + 3. Let r be b(-10). Let w = r - -53. Suppose 0 = -n - 5*s + w, 5*n + 3*s = n + 36. What is the remainder when 22 is divided by n?
4
Let s = 1543 - 1509. Calculate the remainder when s is divided by 5.
4
What is the remainder when 102 is divided by 3/18*-2 - 1562/(-33)?
8
Let h = -36 - -63. Suppose -h*c = -28*c + 5. Calculate the remainder when 27 is divided by c.
2
Let x(m) = -4*m - 9. Let h be (0*1/5)/(-2). Suppose -8*f + 80 + 24 = h. What is the remainder when f is divided by x(-4)?
6
Let j = -99 + 84. Let y = j - -27. Calculate the remainder when 43 is divided by y.
7
Suppose 6*u - 7*u = -5*x + 830, -520 = -3*x + 5*u. Calculate the remainder when x is divided by 35.
25
Let i = 59 + 9. Let s = i + -48. Calculate the remainder when s is divided by 7.
6
Suppose -5*y - 3*x + 119 = -0*y, -2*x + 94 = 4*y. What is the remainder when 80 is divided by y?
14
Let 