2)/3).
4
Let a(c) = 3*c**2 - 11*c + 7. What is the remainder when a(8) is divided by 56?
55
Suppose 19 = -5*i + 4*z - 43, 5 = -2*i - 5*z. Let a(j) = j**3 + 9*j**2 - 13*j - 10. Calculate the remainder when a(i) is divided by 7.
6
Suppose -39 = -3*a - 0. What is the remainder when a is divided by 7?
6
Let j(z) = -z**2 + z + 3. Let f be j(0). Suppose -30 - 49 = 3*q + 4*d, 0 = 5*q + f*d + 117. Calculate the remainder when (-3 + q/(-6))*58 is divided by 15.
14
Let g(s) = 5*s**2 + 2*s + 3. Let c be g(-2). Calculate the remainder when (-3)/(9/(-6))*c is divided by 20.
18
Calculate the remainder when (-132)/9*(-3)/2 is divided by 12.
10
Let i = -39 + 70. What is the remainder when i is divided by 8?
7
Let g(y) = 33*y**2 - 2*y + 1. Let t = 7 + -6. What is the remainder when g(t) is divided by 17?
15
Suppose 5*c = 3*r + 282, 0*c + 110 = 2*c - 4*r. What is the remainder when c is divided by 20?
17
Suppose -4*d = 3*a - 3, -d + 3*d + 6 = -4*a. Let s = 7 - 7. Suppose -5*r + 4*m + 28 = s, -3*r + 14 = 2*m - 16. Calculate the remainder when r is divided by d.
2
Suppose 9 = n - 2. Let c(z) = 7*z**3 + 2*z**2 - 4*z + 2. Let p be c(2). Let m = p - 15. What is the remainder when m is divided by n?
10
Let w(c) = 24*c - 8. Let s be w(4). Suppose -k + s = 3*k - 4*q, -70 = -3*k + 4*q. Calculate the remainder when 35 is divided by k.
17
Suppose 9*z - 39 = 159. Calculate the remainder when z is divided by 12.
10
Suppose -4*h = 4*o - 632, 6*h = 4*h - 3*o + 312. Suppose 4*d = 250 + h. Calculate the remainder when d is divided by 26.
25
Let a = 21 - 23. Calculate the remainder when ((-5)/a)/5*86 is divided by 23.
20
Let u(b) = -5*b**2 + 1. Let x be u(-1). Let i = x - -5. What is the remainder when 51 is divided by i/(-5) - 198/(-15)?
12
Suppose -a + 2 = -21. Let d = 39 - a. Calculate the remainder when d is divided by 6.
4
Let m(t) = 2*t**2 - 6*t + 6. Suppose 2*s = 4*a - 20, 5*s - 5*a + 13 = -17. Let j(d) = 7*d**2 + d. Calculate the remainder when j(s) is divided by m(4).
12
Let j(y) = 3*y**3 - 5*y**2 - y + 1. What is the remainder when j(4) is divided by 37?
35
Let v(c) = 14*c**2 - 3*c + 2. What is the remainder when 49 is divided by v(1)?
10
Let f(t) = -t + 2. Let x(v) = -3*v + 7. Let l(o) = 17*f(o) - 6*x(o). What is the remainder when 14 is divided by l(13)?
4
Let f be 12/(-3 - (-45)/12). Let c = f - 11. What is the remainder when 13 is divided by c?
3
Suppose 0 = 5*w - n - 630, -2*w - n + 240 = n. Suppose -2*x + w = 3*x. Let t(o) = -2*o + 5. What is the remainder when x is divided by t(-4)?
12
Let g(h) be the first derivative of -h**2/2 - 5*h + 1. Let j be g(-5). Suppose j*z = -z + 8. What is the remainder when z is divided by 3?
2
Suppose 2*f + 5*p = 47, p - 8 = -3. What is the remainder when 20 is divided by f?
9
Let f = 11 - -9. Suppose 3*z = 112 + f. What is the remainder when z is divided by 12?
8
Let p(j) be the second derivative of -j**3/2 - 7*j**2/2 - j. What is the remainder when (-9 - -11) + (-48)/(-1) is divided by p(-8)?
16
Let u = 45 - 40. Calculate the remainder when 14 is divided by u.
4
Let d(p) be the first derivative of 8*p**3/3 - p**2/2 - 2*p + 1. Let m(q) = 2*q**2 + 15*q + 42. Calculate the remainder when d(-2) is divided by m(-5).
15
Suppose 5*m - 34 = -2*j, 3 = -2*j + 4*m + 1. Let w be ((-6)/(-3))/((-1)/1). Let x = w + j. What is the remainder when 8 is divided by x?
3
Let q be (-1 - -2)*(-10)/(-2). Let a(l) = l - 1. Calculate the remainder when (4/(-2))/((-2)/6) is divided by a(q).
2
What is the remainder when 20 is divided by 0/5 - -2 - -5?
6
Let k(j) be the second derivative of -j**5/20 + 2*j**4/3 + j**3/2 - 6*j**2 - j. Let l = -29 - -52. What is the remainder when l is divided by k(8)?
11
Suppose 0 = -2*r + 3 + 3. Suppose r*b - 6*b = -5*g + 30, 5*b = 0. What is the remainder when g is divided by 2?
0
Suppose 8*l - 105 = 5*l. Suppose -4*t = -2*u + 27 + 9, -t = -4*u + 72. What is the remainder when l is divided by u?
17
Suppose -5 - 11 = -s. Suppose -2*a = -g + 3*a + 16, a = -g + s. Calculate the remainder when g is divided by 9 + (1 - (-1)/(-1)).
7
Let f = 4 - -3. Let d(a) = -a**3 - a**2 + 5. Calculate the remainder when f is divided by d(0).
2
Suppose -o = -2*o + 5. What is the remainder when (-1 + -5)/3 + 16 is divided by o?
4
Let d(n) = n + 12. Let a be d(-11). Let k be -5 + -1 - (-1 - a). What is the remainder when (-332)/(-20) + k/(-10) is divided by 9?
8
Let r(p) = p**2 + 0*p**2 + 4 + 0. Let l = -8 + 23. Calculate the remainder when r(-5) is divided by l.
14
Let n = 0 - -3. Suppose -2*w = -6 - 14. Calculate the remainder when w is divided by n.
1
Let i = -33 + 64. Suppose -2*b + 27 = -i. Let z(q) = -q**3 + 6*q**2 + 2*q + 3. Calculate the remainder when b is divided by z(6).
14
Let v = 501 + -241. What is the remainder when v is divided by 44?
40
Let a(z) = -z**3 + 6*z**2 - z - 7. Let p = 1 - -7. What is the remainder when a(5) is divided by p?
5
Let w = -61 + 127. Suppose w = 3*k - 5*d, 2*k - d - 43 = 2*d. Calculate the remainder when 3*98/24*4 is divided by k.
15
Let t = -1 + 1. Suppose r = -2*a - 3, t = 5*a - 5 + 20. What is the remainder when 17 is divided by (r - 0)/((-2)/(-4))?
5
Suppose -2*z - 13 = -k + 2, -3*k + z + 20 = 0. Suppose 0 = t + 2*t - p + 26, 0 = k*t - 2*p + 42. What is the remainder when (-22)/t - (-1)/(-5) is divided by 2?
0
Suppose 7*b = d + 11*b - 23, 0 = 3*d + b - 36. What is the remainder when 42 is divided by d?
9
Suppose z = 6*z - 350. Calculate the remainder when z is divided by 18.
16
Let v be (6/5)/((-3)/(-60)). Let t = 11 + v. Let y(m) = m**2 - 14*m + 18. What is the remainder when t is divided by y(14)?
17
Let p = -10 + 28. Suppose -3*w = -22 - 8. What is the remainder when p is divided by w?
8
Let r(h) be the third derivative of -h**6/120 - 13*h**5/60 - h**4/12 - 3*h**3 + 8*h**2. What is the remainder when 31 is divided by r(-13)?
7
Suppose -4*b = -b - 144. Calculate the remainder when b is divided by 10.
8
Suppose 82 = 4*c - 78. Let a = c + -1. What is the remainder when a is divided by 14?
11
Suppose -a - 1 = -5*f, 3*a = -2*f - 0*a - 3. Suppose f = d - 0*d - 6. Calculate the remainder when d is divided by 3.
0
Let r = 121 + -87. Calculate the remainder when 65 is divided by r.
31
Suppose 2*v + f = 5*v - 34, -2*v + 5*f + 1 = 0. Let g = -45 + 93. Calculate the remainder when g is divided by v.
9
Suppose -3*g + s + 27 = 2*s, 0 = 3*g + 2*s - 27. Suppose -4*w - 48 = -2*n, 5*n - 12 - 143 = 3*w. What is the remainder when n is divided by g?
7
Suppose -4*l + 2*d = -l - 187, -2*d = 4. Let y = l + -37. Let p = y + -5. What is the remainder when p is divided by 7?
5
Suppose -5*s = h + h - 7, -2*h = 2*s - 16. What is the remainder when 53 is divided by h?
9
Let m(g) be the first derivative of g**2/2 + 6*g + 4. Calculate the remainder when m(0) is divided by 4.
2
Suppose 2*c - 3*n - 1 - 12 = 0, 2 = 3*c - n. Let d = c + 1. Suppose 2*u - 5*u + 21 = d. What is the remainder when 12 is divided by u?
5
Suppose -6 = -5*q - 4*x, 9 = 3*q - 3*x - 0. Suppose -q*l + 3*i = i + 94, -i = -3. Let w = -31 - l. What is the remainder when w is divided by 7?
6
Let z = -5 - -5. Suppose k - 3*k + 22 = z. What is the remainder when 30 is divided by k?
8
Calculate the remainder when 96/56 + 5/(-7) + 1 is divided by 2.
0
Suppose 0 = u - 2*u + 5. Suppose 0 = -7*i + 3*i + 36. Calculate the remainder when i is divided by u.
4
What is the remainder when 7/(21/78) - 3 is divided by 6?
5
What is the remainder when 2 + (-406)/(-3) + 2/3 is divided by 48?
42
What is the remainder when (-8)/2*570/(-40) is divided by 15?
12
Let n(s) = 4*s + 1. Let c = -367 - -380. Calculate the remainder when c is divided by n(1).
3
Let r = 7 - 4. Let m(z) = -3*z + 3 + 2*z**2 - 5 + 2. Calculate the remainder when r is divided by m(2).
1
Suppose -h + 11 = -4*n, h - 9 = 3*n - 0. Suppose h + 5 = 4*u. Let a(x) = -x**2 - 10*x - 12. What is the remainder when a(-8) is divided by u?
0
Suppose 0*p - 48 = 4*p. Suppose 57 = -8*o + 5*o. Let l = p - o. What is the remainder when l is divided by 3?
1
Suppose -2*d = -2*q + 10, -3*q - 3*d - 2 = -5. Suppose -2*t - 2*t + q*n = -7, -5*t + 23 = n. Calculate the remainder when t is divided by 3.
1
Let i = -37 - -45. What is the remainder when 15 is divided by i?
7
Suppose 56 = 5*v - 249. What is the remainder when v is divided by 16?