**2 - 3*q + 3. Let b be f(1). Calculate the remainder when 53 is divided by n/12 + b/(-16).
9
Suppose p = -j - 1, 5*j - 5*p = -12 + 47. Suppose -3*a = 5*r + 19, a = j*r + 14 + 3. Let b(w) = -8*w - 6. What is the remainder when b(r) is divided by 12?
10
What is the remainder when ((-13)/(-2))/(7/42) is divided by 21?
18
Suppose u + 0*u - 86 = 0. What is the remainder when u is divided by ((-1540)/(-15))/(-14)*1*-3?
20
Suppose 0 = -2*c - z + 1, c + 3*z + 5 = 8. Suppose 11 = m - i - c, -5*i + 23 = m. Calculate the remainder when 35 is divided by m.
9
Let x(t) = 2*t**3 - 20*t**2 + 23*t - 10. What is the remainder when x(9) is divided by 6?
5
Let b(x) be the first derivative of 2*x**2 - 3 + 1/3*x**3 + 8*x. Calculate the remainder when 37 is divided by b(-6).
17
Suppose -2*d + 4*p - 2 = -0, -19 = -5*d + 2*p. Suppose 0 = 4*c - 7*c - 45. What is the remainder when ((-5)/c*51)/1 is divided by d?
2
Let s = 946 - 767. What is the remainder when s is divided by 13?
10
Suppose -2*j + 2*b - 3*b + 1 = 0, 0 = -2*j + 2*b + 10. Suppose -4*q - j = -5*w - 4, -3*w = -3*q. Calculate the remainder when (-1 - w)*35 - 0 is divided by 13.
9
Let r = -254 + 280. What is the remainder when 57 is divided by r?
5
Suppose -3*w = -6*w + 18. What is the remainder when 9 is divided by w/(-9)*(-1 - 2)?
1
Suppose -3*n + 12 = 0, 18*r + 4*n - 36 = 17*r. Calculate the remainder when 71 is divided by r.
11
What is the remainder when 174 is divided by 2 + (14 - (-7 + 12))?
9
Let p be -2 - (0/3)/(-4). Calculate the remainder when -5 + 1 - (p + -77) is divided by 38.
37
Let p = 22 + -19. Suppose 0 = p*b - 8*b - 5. What is the remainder when 50 is divided by (b*14 - -1)*-1?
11
Suppose -40*i = -50*i + 90. What is the remainder when 24 is divided by i?
6
Suppose 4*n - 6*u = -8*u + 158, -1 = u. Calculate the remainder when n is divided by 11.
7
Let q = 1570 + -1201. What is the remainder when q is divided by 75?
69
Let q = 939 + -664. What is the remainder when q is divided by 23?
22
Suppose 123 = -2*u - 5*b, -3*u - 127 = -b - 3*b. Let w = 66 + u. Calculate the remainder when w is divided by 5.
2
Calculate the remainder when ((-1095)/15)/(-3 - -2) is divided by 15.
13
Let m(c) be the third derivative of -c**5/60 + c**4/3 + 11*c**3/6 + c**2. What is the remainder when m(8) is divided by 2?
1
Let u(d) = -7*d + 4. What is the remainder when u(-14) is divided by 7?
4
Let c be 32*4/(-6)*6/8. Let t = c - -94. What is the remainder when t is divided by 21?
15
Let m = 36 - 37. Let s = 15 - m. Calculate the remainder when s is divided by 10.
6
Let a = 133 + 2505. Calculate the remainder when a is divided by 19.
16
Let j(l) = 7*l - 166. What is the remainder when 297 is divided by j(27)?
21
What is the remainder when 63 + 20 + (6 - 7) is divided by 31?
20
Suppose -5*g + 122 = -163. Let y(c) = -c**2 - 15*c - 6. What is the remainder when g is divided by y(-13)?
17
What is the remainder when 68 is divided by 91/5 + (-9 + 1)/40?
14
Suppose 1115 = 308*x - 303*x. What is the remainder when x is divided by 32?
31
Let p(b) = b + 9. Let w be p(0). Suppose -w*m + 5*m = -5*x + 420, -3*m + 420 = 5*x. Let f = -50 + x. Calculate the remainder when f is divided by 9.
7
Let z = -22 - -7. Suppose 0 = 5*w + 2*w + 1008. Calculate the remainder when 26 is divided by (-6)/10 + w/z.
8
Suppose 0*i + 19 = i. Suppose 45*y - 1352 = 88. What is the remainder when y is divided by i?
13
Let u be (1/((-10)/(-8)))/((-16)/(-80)). Suppose u = h - 9. Calculate the remainder when 34 is divided by h.
8
Suppose 2*f = 3*d + 36, 187*d = 184*d + 6. What is the remainder when 564 is divided by f?
18
Calculate the remainder when 35 is divided by 12*(-6)/(-9) + (-4)/2.
5
Calculate the remainder when (2 - 188)*1*(-9)/3 is divided by 10.
8
Let w = -21 - -24. Let u(y) = -y - 11. Let o be u(-11). Suppose o = -0*i + w*i - 27. What is the remainder when 24 is divided by i?
6
Suppose -2 = -s - 0*s. What is the remainder when (2 + (69 - s))*(-6)/(-9) is divided by 17?
12
Let s(a) be the second derivative of 11*a**4/4 - 39*a. What is the remainder when 63 is divided by s(-1)?
30
Suppose 5*j + 183 = 53. Let d = 45 + j. What is the remainder when 34 is divided by d?
15
Let s = -55 - -64. Suppose -13*a + 126 = s. Calculate the remainder when 21 is divided by a.
3
Calculate the remainder when 1023 is divided by ((-12)/7)/(((-1020)/945)/34).
51
Let u(n) = 3 - 17*n**3 + n**2 - 2*n**3 - 4. Let t(b) = -4*b - 5. Calculate the remainder when u(-1) is divided by t(-4).
8
Suppose -g = 55 - 61. Calculate the remainder when (5 - g) + 70 + (-1 - -2) is divided by 36.
34
Let i(a) = a**2 + 26*a + 39. Calculate the remainder when 697 is divided by i(-26).
34
Let f(p) = -3*p**2 + 54*p - 21. What is the remainder when f(8) is divided by 8?
3
Suppose -5*u = 5, -l - 8 = -0*l + 2*u. Let w be -1 + (2 - (-3 - l)). Let k(b) = b**3 + 2*b**2 + 1. What is the remainder when k(w) is divided by 1?
0
Let m = -68 + 89. Suppose -3*g + m = 3*h, 4*h - g = -h + 59. What is the remainder when 32 is divided by h?
10
Suppose -2*i = 3*v - 44, -13*v = -5*i - 14*v + 123. Calculate the remainder when 144 is divided by i.
19
Let f(l) = l**2 - 4*l - 7. Let i be -2 - -1 - -7 - 0. Let c be f(i). Suppose c*u = 2*u + 18. Calculate the remainder when 21 is divided by u.
3
Suppose 2*q + 7*f = 2*f + 88, 4*q = f + 154. Calculate the remainder when 155 is divided by q.
38
Let q(r) = -r**2 + 15. Let o be q(0). What is the remainder when (-10)/o*138/(-4) is divided by (312/18)/((-24)/(-18))?
10
Suppose -2*t - a = -25, -2*t - 4*a = t - 30. What is the remainder when 39 is divided by t?
11
Let c = 2 + -11. Let q = c - -11. Calculate the remainder when 10 is divided by (-2)/((q + -1)/(-3)).
4
Suppose 4*i - 235 = -5*x, -14*x + 12*x + 122 = -4*i. What is the remainder when x is divided by 24?
3
Let d(q) = 2 + 1 + 3 - 2*q**2 + 3*q**2 - 8*q. Calculate the remainder when d(8) is divided by 5.
1
Let y(j) be the second derivative of j**4/12 + 17*j**2 + 7*j. What is the remainder when y(0) is divided by 9?
7
Suppose 9*h - 51 = 6*h. Let n = h - -26. What is the remainder when n is divided by 22?
21
Suppose -100 + 32 = -2*g. Suppose 5*h - 68 = 5*y - y, 0 = 5*h - y - 62. Calculate the remainder when g is divided by h.
10
Suppose -3*a + 13 = 4*x - 0*a, 0 = -2*x - 4*a + 4. Let b = -3 + x. Suppose 3*v - b = 68. Calculate the remainder when v is divided by 8.
7
Let l = -118 + 293. What is the remainder when l is divided by 11?
10
Let q(x) = 2*x**3 + 46*x**2 - 5*x - 2. Let k(z) = 2*z**2 + z + 1. What is the remainder when q(-23) is divided by k(-4)?
26
Let r = -810 + 905. What is the remainder when r is divided by 42?
11
Calculate the remainder when ((-7088)/32 + -6)*4/(-5) is divided by 49.
35
Let a be (-9)/(27/6) - (-30 - 0). Suppose -a - 2 = -5*o. Calculate the remainder when 39 is divided by o.
3
Let i(q) = -q**3 - 2*q**2 + 31*q + 27. Let t(j) = j**2 + 3. Let y be t(0). Let m(x) = 4*x**2 - x - 4. What is the remainder when i(-7) is divided by m(y)?
26
Suppose 4*o + 128 = -0*t + 4*t, 0 = -2*o. What is the remainder when t is divided by 7/1 + -6 + 13 + -2?
8
Suppose -2*b - 24 = -0*w - 2*w, 3*b - 4 = -w. Let y = w - -4. What is the remainder when y is divided by (2*-1)/(1/(-2))?
2
Suppose 3*m - 25 = -k, -5*m + 19 = -4*k - 0*k. What is the remainder when 86 is divided by m?
2
Let j(f) = 4*f - 37. Suppose 2*w = 6*w - 48. Calculate the remainder when 31 is divided by j(w).
9
Let s = 2 + 2. Suppose 5*o - 22 = -t, 3*t + t = s*o - 32. Suppose -o*n - 12 = -6*n. What is the remainder when 33 is divided by n?
9
Suppose 0 = l - 5*c - 26, -6 = -3*l - c + 8. Suppose t - l - 28 = 0. Suppose -192 = -2*p + t. What is the remainder when p is divided by 29?
26
Let j = -2898 + 2908. Let b = 4 - -3. What is the remainder when j is divided by b?
3
Suppose -2*r = -8 - 4. Suppose -2 = z - r. Suppose -z*a = -30 - 10. What is the remainder when 18 is divided by a?
8
Let p = -1355 - -1381. Calculate the remainder when 128 is divided by p.
24
Suppose -1349 + 8341 = 16*h. What is the remainder when h is divided by 20?
17
What is the remainder when 4/(-26) + (-2307)/(-39) is divided by (12/(-14))/(8/(-112))?
11
Let p = -68 - -630. Let m = p + -343. What is the remainder when m is divided by 44?
43
What is the remainder when 209 is divided by (-8 