et q(a) be the first derivative of a**3/2 - 3*a**2 - a + 2. Let v(b) be the first derivative of q(b). Calculate the remainder when 17 is divided by v(4).
5
Suppose -r = 5*z + 23, -r + 7*z + 17 = 4*z. What is the remainder when 3 is divided by r?
1
Let l(d) = d**3 + 5*d**2 + 5*d + 2. Let n be l(-4). Let c = 4 + n. Calculate the remainder when ((-1)/c)/((-4)/128) is divided by 9.
7
Let g = 11 - 7. Let t be 24*1/g*-3. Let p = t + 32. Calculate the remainder when 40 is divided by p.
12
Let f(w) = w**2 - 2*w - 9. What is the remainder when 101 is divided by f(7)?
23
Let z = -57 - -84. What is the remainder when z is divided by 10?
7
Let y = 109 + -97. What is the remainder when 35 is divided by y?
11
Let v = -23 - -100. What is the remainder when v is divided by 13?
12
Let g(h) = h**2 - 2*h**2 + 4*h**2 - 2 + h**3 + 2*h**2 - 6*h. Let k be g(-6). Let r = 15 - k. Calculate the remainder when 32 is divided by r.
15
Let q = 2 + 0. Suppose -2*h + 3*h - 5*b = 50, 0 = -q*b - 10. Suppose -3*o = -f + 3*f - h, 0 = -2*f + 4*o - 10. What is the remainder when 8 is divided by f?
3
Let h = 37 + -28. Let v(d) = -9*d**2 + 3*d**3 - 4*d**3 + 2*d**3 + d. Calculate the remainder when 16 is divided by v(h).
7
Suppose 0 = 5*l + u - 87, 4*l + 2*u = l + 55. Suppose 112 = 4*f + 5*s, 8 - 91 = -3*f - 4*s. Let i = f - l. Calculate the remainder when 46 is divided by i.
14
Suppose -4*x + 4*v + 36 = 0, -2*x = 2*x + 5*v - 72. Let s(i) = 6*i + 7*i**2 - i**2 - 7*i**2 - 3. What is the remainder when x is divided by s(2)?
3
Let p(m) = m**2 - 8*m + 2. Let d be p(8). Suppose -24 = -2*k - d*k. Suppose 4*t = -2*q + 18, t + 15 = k*t + q. What is the remainder when 4 is divided by t?
0
Let f(d) = d**2 + d - 1. Suppose -12 = 3*c - 6*c. Let n = 8 - c. Calculate the remainder when f(3) is divided by n.
3
Let x(v) = 12*v**2 - v + 1. Let b be 3/(-2)*4/(-3). What is the remainder when x(b) is divided by 12?
11
Let m(c) = c. Let u be m(-3). What is the remainder when 2 is divided by u/(-6)*(-16)/(-4)?
0
Let t be (4/(-8))/((-2)/16). Suppose 5*u = -3*v + 58, 2*u - 3 = -t*v + 23. What is the remainder when 43 is divided by u?
10
Suppose 0*x + 57 = 3*x. Suppose 1 = -2*r + x. Calculate the remainder when 43 is divided by r.
7
Suppose 0 = -5*w - 4*i + 115, 4*w + 4*i - 58 = 2*w. What is the remainder when 113 is divided by w?
18
Suppose 5*r - 3*t - t - 230 = 0, 3*r - 165 = -3*t. What is the remainder when r is divided by 17?
16
Suppose -54 = -3*v + 2*v. Suppose 0 = -5*f - 22 - 133. Let r = f + v. What is the remainder when r is divided by 13?
10
Let s(w) = -w**3 + w**2. Let g(f) = -5*f**3 + 2*f - 2. Let h(k) = -g(k) + 6*s(k). Calculate the remainder when h(4) is divided by 14.
12
Suppose 16 = -i + 2*i. What is the remainder when 0 - 2 - -35 - 3 is divided by i?
14
Suppose 4*y - 11 = u, -2*y = 4*u + 3 + 5. What is the remainder when 9*(-2)/6*-2 is divided by y?
0
Suppose 3*g - 3*x + 8*x = 4, -10 = -4*g - 2*x. Suppose -g*h = 2*h - 25. Let u(t) = 12*t + 1. Calculate the remainder when u(1) is divided by h.
3
Let t(c) = 0*c - 1 - 9*c + 0 - c**2. Let j be (36/15)/((-9)/30). Calculate the remainder when t(j) is divided by 4.
3
Let i be (-2)/2 - (-70 + -1). Suppose 0 = 2*k - 3*k + i. Suppose -w - w = 0, 3*w - k = -5*y. Calculate the remainder when y is divided by 8.
6
Let b be (2 - 1) + 38/(-2). Let m = b - -7. Let o = m - -24. What is the remainder when 38 is divided by o?
12
Let k(w) be the first derivative of -w**4/4 + 7*w**3/3 - w + 1. Calculate the remainder when k(5) is divided by 17.
15
Let f = 7 + 3. Let r(c) = -4*c - 5. What is the remainder when r(-8) is divided by f?
7
Let o(q) = -3*q - 2. What is the remainder when 29 is divided by o(-4)?
9
Let c = 9 - 2. What is the remainder when 26 is divided by c?
5
Suppose -d - 69 - 55 = 0. Let b = d + 194. Calculate the remainder when b is divided by 18.
16
Suppose -1 = 2*u - 9. Let d(i) = -1 + i + 4*i**2 + 6*i**2 - 4*i**2. Calculate the remainder when d(1) is divided by u.
2
Let t(o) = o**2 + o + 1. Let q(y) = 5*y**2 + 1. Let a(h) = q(h) - 6*t(h). Let x be a(-5). What is the remainder when 3 is divided by 1 + x + (2 - 1)?
1
Let a be (-1)/((-7)/3 + 2). Suppose p - 40 = 4*m, -3*p + a*m + 102 = -0*p. Suppose -p = -q - 3*q. Calculate the remainder when 14 is divided by q.
6
Suppose -2*j - 32 = -3*w - 7, -j = 5. Suppose -18 = w*s - 4*y - 85, 5*s = y + 73. What is the remainder when 42 is divided by s?
12
What is the remainder when ((-2)/5)/((-2)/60) is divided by ((-2)/4)/(5/(-50))?
2
Let y = -117 + 166. Calculate the remainder when y is divided by 10.
9
Suppose 5*w - 90 = 975. Calculate the remainder when w is divided by 54.
51
Let a(r) = 4*r**2 + 16*r + 29. Calculate the remainder when 56 is divided by a(-4).
27
Calculate the remainder when 22 is divided by 15*(-3)/15*-2.
4
Suppose 6 + 69 = 5*q + 5*r, -2*r = 0. What is the remainder when 57 is divided by q?
12
Calculate the remainder when -4*1*(114/(-8) - 3) is divided by 10.
9
Let o(s) = 3*s**2 - 5*s - 3. Calculate the remainder when 24 is divided by o(3).
6
Let p = 22 - -42. What is the remainder when p is divided by 13?
12
Calculate the remainder when (1/6 - (-3367)/(-78))/(-1) is divided by 9.
7
Suppose 0 = -4*s - m + 140, -4*m - 275 = -5*s - 100. Suppose w + s = -2*t, 2*t + t + 34 = -w. Let p = w - -52. What is the remainder when 43 is divided by p?
13
Calculate the remainder when 7/(24/(-28) - -1) is divided by 13.
10
Let v(d) = d**3 + 4*d**2 - 4*d + 7. Let m(y) = 3*y - 1. Let f be m(1). Suppose -3*n + f = -4. What is the remainder when v(-5) is divided by n?
0
Let b(o) = o**3 - 5*o**2 + o - 6. Let v be b(5). Calculate the remainder when (-959)/(-28) - v/(-4) is divided by ((-9)/(-1))/((-1)/(-2)).
16
Let s(c) = -4*c**3 + 8*c**2 + c + 1. Calculate the remainder when 3/(-2 - 23/(-10)) is divided by s(2).
1
Let n = -33 + 62. What is the remainder when n is divided by 8?
5
Let d = 164 + -153. Suppose 0 = m - 4*i - 34, -1 = -4*i + 7. Calculate the remainder when m is divided by d.
9
Let r(s) = s**2 + 8*s + 3. Let x be r(-8). Suppose x*c + 0*o - 2*o = 41, -22 = -2*c - 4*o. What is the remainder when 25 is divided by c?
12
Calculate the remainder when 176 is divided by -4 - (1326/(-27) + (-1)/(-9)).
41
Let w(p) = 2*p**2 - 4. Suppose -2*o + 2*g - 13 = -o, -g = -3*o - 14. Suppose 31 = 2*l + 3*l - 3*z, -2 = z. What is the remainder when w(o) is divided by l?
4
Suppose -3*r - d = -113, -5*r + 3*d + 19 = -160. Let v = 21 + -29. Let s = r + v. Calculate the remainder when s is divided by 8.
5
Let m(h) = h**3 - 10*h**2 + 10*h - 6. Let k be m(9). Suppose -k*y = 3*b - 27, 6*b - 3*b = -2*y + 26. Calculate the remainder when b is divided by 3.
2
Let x(c) = 13*c + 1. Let s(z) = 14*z + 1. Let k(o) = 3*s(o) - 4*x(o). Calculate the remainder when 2/((-3)/(102/(-4))) is divided by k(-1).
8
What is the remainder when (-5 - -1)*(20*-1 - 0) is divided by 21?
17
Let o(f) = f**2 + 8*f + 2. Let i be o(-7). Let w = i - -68. What is the remainder when w is divided by 16?
15
Suppose -z - 2*z + 15 = 0. What is the remainder when 12 is divided by z?
2
Suppose 7 - 23 = -r. Calculate the remainder when r is divided by 6.
4
Let u(d) = -d**3 + 7*d**2 + 12*d - 14. What is the remainder when u(7) is divided by 24?
22
Let z = -51 - -71. Calculate the remainder when 39 is divided by z.
19
Suppose -4 = 5*f + o, -3*f + o + 6 = 2. Let t(b) = -b + 21 + 2 - 7 - b**2. What is the remainder when 30 is divided by t(f)?
14
Let g(c) = c**2 + 9*c. Let d be g(-9). Suppose -3*p + 14 + 37 = d. Calculate the remainder when p is divided by 5.
2
Let i(z) = z**3 + 4*z**2 - z + 4. Let r be 17/3 + (-4)/(-12). Suppose -4*q + 11*j + 69 = r*j, -3*j + 9 = 0. Calculate the remainder when q is divided by i(-4).
5
Suppose 75 = 5*d + 3*f, 0*f = -4*f + 20. Calculate the remainder when 46 is divided by d.
10
Let i(k) = 4*k**2 + 4*k - 4. Let p be i(3). Suppose -d + 0*d = -p. What is the remainder when d is divided by 15 + (-3)/(-12)*0?
14
Let u = 14 + -6. Suppose u = 4*l - 4. Calculate the remainder when 6 is divided by l.
0
Let k(b) = 19*b**3 - 2*b**2 + 2*b - 1. What is the remainder when 66 is divided by k(1)?
12
Let s(g) = g**3 + 3*g**2 - g - 1. Suppose -3*a + 90 = 2*a. What is the remainder when a is divided by s(-2)?
3
Let u(i) = -i**2 + 1 + 1 - 4*i**3 + 1 + 2*i + 0.