ate the remainder when ((-16)/(-20))/((-2)/(-25)) is divided by 4.
2
Let a = 9 + -10. Let u(d) = -14*d - 2. Calculate the remainder when 44 is divided by u(a).
8
Let u(a) be the third derivative of -a**6/120 - a**5/15 + a**4/12 - 5*a**3/6 + a**2. Let p be 2/(-4)*6 + -2. Calculate the remainder when 28 is divided by u(p).
8
Let r(g) = 6*g**2 - 8*g + 3. Calculate the remainder when r(4) is divided by 17.
16
Let j(s) = 3*s**2 + 3*s - 2. Calculate the remainder when 170 is divided by j(-5).
54
Let a(k) be the second derivative of -3*k**3/2 + 2*k**2 - 5*k. What is the remainder when a(-3) is divided by 8?
7
Let h(i) = i + 4. Calculate the remainder when 20 is divided by h(7).
9
Suppose -u = -37 - 70. What is the remainder when u is divided by 16?
11
Let v be ((-6)/(-5))/((-4)/10). Let f(k) = -8*k - k + k. What is the remainder when 47 is divided by f(v)?
23
Suppose -r - 2*a + 39 = 0, r + 5 = 2*a + 40. Suppose 22*d - 20*d - 26 = 0. What is the remainder when r is divided by d?
11
Let k(f) = -f**3 + 5*f**2 + 3*f - 4. Suppose 0 = 5*r - 8 + 43. Let m = r - -20. What is the remainder when k(4) is divided by m?
11
Suppose 9*s - 211 = -67. Calculate the remainder when 76 is divided by s.
12
Let c = 14 - -28. Let m = 59 - c. Calculate the remainder when 32 is divided by m.
15
Let g = 11 + 34. What is the remainder when g is divided by 16?
13
Suppose -2*c - 6*m = -m + 3, -3 = c + m. What is the remainder when -38*c/8*1 is divided by 10?
9
Suppose 5*f - 8 = z, 0*z + f + 12 = z. Calculate the remainder when 84 is divided by z.
16
Let r(m) = -m**3 + 7*m**2 - 7*m + 4. Suppose 0 = -8*k + 3*k + 15. Suppose b = 3, -2*n + 113 = -2*b + k*b. What is the remainder when n is divided by r(5)?
17
Let t = 15 + -7. Suppose 21 = 4*c - 3*x, -4*c - 3*x + 19 = -t*x. What is the remainder when 45/(-6)*(-8)/6 is divided by c?
4
Let l(f) = -f**3 + 13*f**2 - 12*f + 7. Calculate the remainder when l(12) is divided by 4.
3
Suppose 3*u - 12 = 18. What is the remainder when (-2)/u - (-502)/10 is divided by 17?
16
Suppose -7 = -w + 2*y, -3*w = 5*y + 5 - 4. Suppose 8 = w*m + 2. What is the remainder when 23 is divided by (-1)/((-30)/(-16) - m)?
7
Suppose -19*x + 36 = -15*x. Calculate the remainder when 24 is divided by x.
6
Let m be ((-2)/2)/(4 - 3). Let d = 7 + m. What is the remainder when 22 is divided by d?
4
Calculate the remainder when (4/6)/(32/816) is divided by 4.
1
Suppose 4*q + q = 840. Let b = -101 + q. Calculate the remainder when b is divided by 23.
21
Suppose 3*m - 6*m = -3*z - 6, 2*m + 2*z + 4 = 0. Suppose -b + 29 - 8 = m. Let a = b + -9. What is the remainder when 34 is divided by a?
10
Let n be ((-1)/2)/((-1)/22). Let p(a) = -a + 11. Let h be p(11). Let s = n - h. Calculate the remainder when 32 is divided by s.
10
Suppose 2*u - 3 = 13. Let y = u + -7. Calculate the remainder when y is divided by 1.
0
Let g be (0 + 0)/(0 + -1). Suppose g = 2*r - 7*r + 160. Let b = 25 - 14. Calculate the remainder when r is divided by b.
10
Let u = 7 + 5. What is the remainder when 69/(-3)*(-2)/2 is divided by u?
11
Suppose 2*o = 3*c + 23, -2*c - 2 = -4*o + 24. Suppose 4*f - 1 = 11. Calculate the remainder when o is divided by f.
1
Suppose 0*u - 15 = -5*u. Suppose -u*k = -5*l + 165, -4*l + 2*k + 87 = -43. Calculate the remainder when l is divided by 8.
6
Suppose 5*h + 5*t = -5, 4*h + h + 7 = -3*t. Calculate the remainder when (-3)/((-1)/(-8)*h) is divided by 5.
2
Let q(y) = -5*y**2 - 6*y + y + 6*y**2 + 2. Let z be q(5). Let c = 10 + z. Calculate the remainder when c is divided by 7.
5
Suppose 3*q - 5*a = 10, -4*a - 4 = -0*q - 2*q. Suppose -3*k + 1 = -11. Calculate the remainder when q is divided by k.
2
Suppose 0 = 2*v - v - 24. What is the remainder when v is divided by 9?
6
Let o = 138 + -117. Let i = 79 + 2. What is the remainder when i is divided by o?
18
Let q = -33 - -74. Calculate the remainder when q is divided by 14.
13
What is the remainder when (21 - -4)/5 + 67 is divided by 40?
32
Let t = 80 + -66. Calculate the remainder when t is divided by 5*(-2 + (-18)/(-5)).
6
Suppose -2*g + 3*r = -90, -3*g = 4*r - 3*r - 124. What is the remainder when g is divided by 23?
19
Let t(y) = -y + 2. Let x be t(-3). Suppose x*p = 5*v - 65, p = 4*v + 6*p - 25. Let b = 183 - 179. Calculate the remainder when v is divided by b.
2
Let d(j) = j**2 + 2*j. What is the remainder when 26 is divided by d(3)?
11
Suppose w = -0*w. Suppose 2*l - 5*n - 10 = -w*n, 5 = l - 2*n. What is the remainder when 8 is divided by l?
3
Suppose 4*m + 63 = 4*h - 33, 2*h - 50 = 3*m. Let c(n) = n**3 + 4*n**2 + 2*n + 2. Calculate the remainder when h is divided by c(-3).
2
Suppose -2*y + 12 = 2*t, 5*t - 18 = 2*y - 4*y. Let b = -6 + y. Let s = 3 - b. Calculate the remainder when s is divided by 2.
1
Suppose 0 = -4*q - q. Suppose 0*i + 5*i - 25 = q. Let o(p) = -p + 5. What is the remainder when o(-9) is divided by i?
4
Let u be ((-9)/(-15))/((-1)/(-5)). Calculate the remainder when u/(4 - 172/44) is divided by (-3)/2*(2 - 8).
6
Let g(o) = 4*o. Let m be g(-1). Let h = 2 + m. What is the remainder when 14 is divided by 82/10 + h/10?
6
Suppose 4*p = 2*r - 2, -2*r + 5*r - 4*p = 11. Let m = r - 7. What is the remainder when 5 is divided by m?
1
Let j(n) = n**2. Let u be j(2). Suppose -7*p + u*p = -78. Let x = 4 - -5. Calculate the remainder when p is divided by x.
8
Let i(x) = 2*x**3 - x**2 - 2*x. Let r be (-14)/(-4)*4/7. Suppose 5*h + o - 3 = 8, -3*o = 3*h + 3. Calculate the remainder when i(r) is divided by h.
2
What is the remainder when 25 is divided by 102/7 + 52/(-91)?
11
Let y = -10 + 17. Let k = 43 + y. Let s(z) = 18*z**2 - 2*z + 1. What is the remainder when k is divided by s(1)?
16
Let x(j) = j**2 + 11. Let k = 5 + -5. Calculate the remainder when 21 is divided by x(k).
10
Let i(f) = 2*f**2 - 10*f - 1. Let n be i(8). Suppose -5*d + n = -3. Calculate the remainder when d is divided by 3.
1
Suppose l + 3*l - 200 = -4*g, l + 3*g = 56. Calculate the remainder when l + 4/(-2) - 2 is divided by (-14)/(-1) + -5 + 6.
13
Suppose -2 = -2*s - 6. Let r(c) = -3*c + 2. Calculate the remainder when r(s) is divided by 3.
2
Suppose 2*x - 363 = -5*u - 2*x, 5*u + 3*x = 366. Calculate the remainder when u is divided by 19.
18
What is the remainder when 3/2*152/12 is divided by 5?
4
Let x be (-66)/(-9) + 3/(-9). Let c = x - 1. What is the remainder when 16 is divided by 4*3/8*c?
7
Suppose -5*m = -2*o - 65, 0 = -2*m - o + 33 + 2. Let p(g) = -g**2 + 15*g + 19. Calculate the remainder when 36 is divided by p(m).
17
Let o(h) = -15*h - 1. What is the remainder when o(-3) is divided by 24?
20
Let y(w) = -w**3 + 5*w**2 - 3*w - 4. Calculate the remainder when y(3) is divided by -5*(-3 - (-52)/20).
1
Let j = -5 + 10. Suppose -63 - 12 = -j*h. Calculate the remainder when h is divided by 9.
6
Let v(n) = -n**2 - 16*n + 11. What is the remainder when v(-16) is divided by 3?
2
Let m(q) = -q**3 + 8*q**2 - 3*q - 4. Let h(f) = -f**3 + 7*f + 2*f**3 - 14*f + 5*f**2. Let w be h(-6). Calculate the remainder when m(w) is divided by 17.
16
Let r = -9 + 11. What is the remainder when 13 is divided by r?
1
Let a = -75 + 186. What is the remainder when a is divided by 19?
16
Let g(t) = -t**3 + t + 1. Let n be g(0). Suppose -i = -8 + n. Suppose 3*x = -5*o + 55, 3*o - 77 = -3*x - x. Calculate the remainder when x is divided by i.
6
Let m = 130 - 80. Suppose 9*x - 4*x = -2*d + 31, -x = 4*d - 35. Suppose j - 5 = d. Calculate the remainder when m is divided by j.
11
Let g = -88 - -89. What is the remainder when 3 is divided by g?
0
Suppose 42 = 3*t + 4*f, -5*t - 2*f = 2*f - 70. Suppose 2*a + a - 123 = 0. What is the remainder when a is divided by t?
13
Suppose -5*r = b - 87 + 2, -r + 2*b + 28 = 0. What is the remainder when 61 is divided by r?
7
Suppose -3*f + 35 = -1. Let q(i) = 5*i**2 - 6*i. What is the remainder when q(5) is divided by f?
11
Suppose -5 = -2*h + 37. Let v = 16 + h. What is the remainder when v is divided by 10?
7
Calculate the remainder when (126/(-8))/(2/(-8)) is divided by (-2)/(92/32 - 3).
15
Let b(f) = -f**2 - f. Let j be b(-1). Suppose j*s + 28 = 2*i + 5*s, i + 2*s - 16 = 0. Suppose 3*o - o = i. What is the remainder when 21 is divided by o?
9
What is the remainder when 34 is divided by (-33)/((10/25)/(12/(-45)))?
12
Suppose -4*s + 26 = h - 2, 