 8. Let h(b) be the first derivative of -b**2/2 + 4*b - 2. What is the remainder when x is divided by h(0)?
3
Let a(n) = -31*n + 2. Calculate the remainder when a(-3) is divided by 24.
23
Suppose 0 = -a - 1 - 2. Suppose 3*k - 4*j = 2 - 1, -4 = 5*k - j. Calculate the remainder when 20 is divided by k/(a/11)*3.
9
Suppose 6 = -2*n + 5*l, 0 = 3*n - 5*l - 0*l - 1. What is the remainder when 18 is divided by n?
4
Let z(r) = -r**2 - 3*r + 4. Let d be z(-3). Calculate the remainder when 6/1*6/d is divided by 5.
4
Let d = -2 + 14. Suppose 5*l - 185 = -0*l + 5*t, 5*l - 179 = 2*t. What is the remainder when l is divided by d?
11
Let b = 7 + -3. What is the remainder when 34 is divided by 4/16 - (-47)/b?
10
Let h(l) = -3*l - 6. Let k = -66 - -123. What is the remainder when k is divided by h(-7)?
12
Let o = -46 - -60. Calculate the remainder when o is divided by 15/10*8/3.
2
Let v(p) = -p**3 + p - 4. Suppose 54 = -8*a + 142. What is the remainder when v(-3) is divided by a?
9
Let z = -3 - -2. Calculate the remainder when (2 + z)*(30 + -4) is divided by 14.
12
Suppose 2*k = 3*k - 1. Let t(s) = 7*s**3 - 2*s**2 + 2*s - 1. Let m be t(k). What is the remainder when 11 is divided by (-6)/5*(-20)/m?
3
Let n(t) = -t**3 + 7*t**2 - 4. Let r be n(7). Let v = r - -4. Suppose 3*k = 2*z - 11, 3*k + v*k = 3*z - 18. What is the remainder when 12 is divided by z?
5
Let u = 808 + -548. Calculate the remainder when 34 is divided by u/28 + (-4)/14.
7
Let w(z) = -5*z + 2. What is the remainder when w(-5) is divided by 14?
13
Suppose a = -5*y + 126, -3*y - 5*a + 130 = 2*y. Calculate the remainder when y is divided by (-2)/(-10) + (-192)/(-15).
12
Suppose 0*b = 10*b - 80. Calculate the remainder when 13 is divided by b.
5
Suppose -2*y = 3*k - 10 - 6, 2*k = -4*y + 24. Let i be (-20)/k*2/(-5). Let f = 9 + i. Calculate the remainder when 24 is divided by f.
11
Let k be -4*(1 - 3/2). What is the remainder when 18 is divided by (4 + 0 - k) + 5?
4
Let a(p) = -15*p - 2. Let c = 6 - 3. Suppose 0 = 2*v + 4*o - 38, -c*v - 2*o + 7*o + 35 = 0. What is the remainder when a(-3) is divided by v?
13
Let v(y) = -y**2 - 10*y - 6. Let s be v(-7). Let z = 46 - s. Calculate the remainder when z is divided by 8.
7
Let b(t) = t**2 - 3*t + 13. Let j(c) = -c**2 + 4*c - 14. Let o(s) = 3*b(s) + 2*j(s). What is the remainder when ((-62)/(-6))/(7/21) is divided by o(0)?
9
Let r = -48 - -67. Suppose -g = -2*g - x + 7, 5*x = -g + 15. What is the remainder when r is divided by g?
4
Calculate the remainder when 68 is divided by (-2)/(-5) + (-452)/(-20).
22
Let i(l) = -l**3 - 3*l**2 + 2*l - 4. Calculate the remainder when 5 is divided by i(-4).
1
Let w(q) = -4*q**2 + q**2 - q + 6*q**2 + 6*q**2 + 1. Calculate the remainder when 16 is divided by w(1).
7
Calculate the remainder when 24 is divided by 216/16 + (-1)/2.
11
Let o = -3 - -13. What is the remainder when 39 is divided by o?
9
Suppose 2*p - 4*p + 83 = 3*h, 2*p = -10. What is the remainder when 122 is divided by h?
29
Calculate the remainder when ((-8)/4)/(4/(-34)) is divided by 9.
8
Suppose -198 = -3*f + 3*s, -4*s - 8 - 4 = 0. Calculate the remainder when f is divided by 72/((-3)/(-1)) + -2.
19
Let u = -96 - -124. Calculate the remainder when u is divided by 10.
8
Let x(n) = 3*n - 1. Let w be x(2). Suppose -5*q + w*z = -340, -3*z - 204 = -3*q - 7*z. Calculate the remainder when q is divided by 23.
22
Suppose 3*o - 21 = 12. What is the remainder when 32 is divided by o?
10
Suppose p = 2*t - 8, 2*p - 4 = -2*t + p. Calculate the remainder when 8 is divided by t.
2
Let u(r) = 5*r**2 - r - 1. Suppose 2*j + 2 = -2, -5*j = 3*f + 13. Calculate the remainder when 17 is divided by u(f).
2
Let i(m) = m**2 - 1. Let f be i(0). Let w = f + 3. What is the remainder when (-2 + 2/4)/(6/(-16)) is divided by w?
0
Let d = 7 + -5. Suppose d*k - 10 = -0*k, 150 = 5*o - 5*k. Let t = -26 - -38. What is the remainder when o is divided by t?
11
Let k(v) = 5*v**3 + 3*v**2 - 2*v + 1. Suppose -w - 7 = -17. What is the remainder when k(2) is divided by w?
9
Let t(p) = -p - 1. Let n be t(6). Let q = 3 - n. What is the remainder when 29 is divided by q?
9
Let b(v) = v**3 + 3*v**2 - v + 4. Let a be -2 + 3/(0 - 3). What is the remainder when 25 is divided by b(a)?
4
Let i be ((-18)/(-6))/(6/(-16)). Let j = 6 + i. What is the remainder when 10 + -1 - 4/j is divided by 4?
3
Let j = -17 - -23. Calculate the remainder when 22 is divided by j.
4
Suppose -4*n + 0 = 2*c - 26, 4*c = 2*n + 12. Let h = -26 - -71. Suppose h = 4*t + 17. Calculate the remainder when t is divided by n.
3
Suppose -2*u = 2*i, 2*u = 3*i - 2*u - 7. Let m be 0*((-3)/(-6))/i. Let k = 3 - m. What is the remainder when k is divided by 2?
1
Suppose z = 3*u + 60, u + z + 20 = 2*z. Suppose 0 = 3*o - 111 + 27. Let a = o + u. What is the remainder when 22 is divided by a?
6
Suppose -l + 12 + 36 = 0. Suppose -x - 1 - 3 = 4*o, 5*x = -3*o + l. What is the remainder when x is divided by 7?
5
Let k = 41 - 12. Calculate the remainder when k is divided by 11.
7
Let z = 3 - 1. Suppose -3 = -v - z, -24 = -5*l - 4*v. Suppose -l*w + 50 = 10. Calculate the remainder when 29 is divided by w.
9
Suppose 0 = 5*l + 25, 5*r - 28 = l + 77. Let z be (8/r)/(1/5). Suppose 4*n - 12 = 0, -z*x - 3*n = n - 20. What is the remainder when x is divided by 2?
0
Let t(c) = 11*c**2 + 2*c + 1. Let k be t(-2). Let r = k + 11. Let a(d) = -d**2 - 14*d - 15. Calculate the remainder when r is divided by a(-11).
16
Let m(w) = -w**3 - 3*w**2 + 2*w + 1. Let a be m(-3). Calculate the remainder when 2/2 + 0/a is divided by 1.
0
Let h = 25 + -12. Let j = h - 2. What is the remainder when 42 is divided by j?
9
Let o = 22 - 11. Suppose 0 = 3*a + 12, 4*b - 340 + 56 = 4*a. Let n = b + -36. What is the remainder when n is divided by o?
9
Let z(r) = r. Let f be z(2). Suppose 0 = -f*u - p + 42, 3*u - 2*p - 41 = 2*p. Calculate the remainder when u is divided by 7.
5
Suppose 0 = 4*i - 3*c - 19, -25 = -5*i - 3*c + 7*c. What is the remainder when 7 is divided by i/((-1)/(-3)*1)?
1
Suppose -5*a + 54 + 71 = 0. Suppose 2*u - a = -3*u. Let c(g) = 2*g**2 + g - 2. What is the remainder when c(2) is divided by u?
3
Suppose 3*a - 10 = a. Calculate the remainder when 17 is divided by a.
2
Let b(a) = a**2 - 2*a + 4. Let z be b(4). Let s = z - 18. What is the remainder when 10 is divided by s*(-1)/6*4?
2
Suppose 0 = 3*o - 3*q - 90, -63 = -2*o + 5*q - 0*q. Calculate the remainder when o is divided by 6.
5
What is the remainder when 29 is divided by 16 - 3*2/6?
14
Let s(p) = 11*p - 1. Suppose -4*i - i = -5. Suppose -5*r = 2*c - 0*r + 13, 4*c = -4*r + 4. Calculate the remainder when s(i) is divided by c.
4
Let v(k) = 3*k - 43. What is the remainder when 2 is divided by v(15)?
0
Suppose 4*y - 32 = -4*w, -3*w = 5*y - 0 - 16. What is the remainder when w is divided by 4/6*3 + 5?
5
Suppose -4*f = -22 - 14. Calculate the remainder when f is divided by 8.
1
Suppose 0 = 2*w - 0*m - 2*m - 16, 4*w - 14 = -5*m. What is the remainder when (-12 - (-3 - 1))*(-2)/1 is divided by w?
4
Suppose 7*k + 116 - 543 = 0. What is the remainder when k is divided by 16?
13
Let x(t) = 4 - 2*t + 3 - 2. What is the remainder when (-3)/(0 - -3)*-33 is divided by x(-6)?
16
What is the remainder when 78 is divided by ((-80)/14)/((-5)/35)?
38
Let j = -2 - -7. What is the remainder when 12 is divided by j?
2
Let n(j) = 5*j**2 + 12*j - 5. Calculate the remainder when n(3) is divided by 26.
24
Suppose 3*x + 3*c - 39 = -0*c, 4*x - 24 = 3*c. Let m(t) = -1 + 0 + 0*t + 2*t. Calculate the remainder when x is divided by m(3).
4
Let z = 5 - -10. Suppose 82 = 2*m - 32. Calculate the remainder when m is divided by z.
12
Let d = -48 + 67. Calculate the remainder when 75 is divided by d.
18
Let o be -4*(0 + 6/(-8)). Suppose 0 = 5*p + o*x - 53, -2*p = -2*x - 19 + 1. Calculate the remainder when p is divided by 6.
4
Let v(p) be the first derivative of -2*p - p - 2*p + 2*p - p**2 + 3. Calculate the remainder when 13 is divided by v(-4).
3
Let b = 78 - 44. Suppose -4*c = -14 - b. What is the remainder when (44/(-10))/((-1)/5) is divided by c?
10
Let i(n) = -230*n**3 - n - 1. Let g be i(-1). Suppose -s - 171 = 3*f, -2*s + 0*s - g = 4*f. Let l = f + 97. Calculate the remainder when l is divided by 14.
13
Let s = 19 - 14. Suppose -26 = -p - 2*i, 0*p