- 1. Let n = -5 + 43. Calculate the remainder when n is divided by q(-1).
18
Let k(p) be the third derivative of 19*p**4/24 - p**3/6 + p**2. Let y be k(1). Let l = -8 + y. Calculate the remainder when 29 is divided by l.
9
Let p(f) = -f**2 + f + 1. Let q be p(-2). Let l = -3 - q. Suppose u - 167 = -3*x, -l*u - 16 - 200 = -4*x. Calculate the remainder when x is divided by 19.
17
Suppose -3*n - w = -101, 2*n + 2*w = 5*w + 82. Calculate the remainder when n is divided by 18.
17
Suppose 0 = -2*y + 12 - 2. Let r = -1 + y. Calculate the remainder when (-6)/r*(-312)/18 is divided by 14.
12
What is the remainder when 32 is divided by 598/52 - 1/(-2)?
8
Let x(q) = -q**2 + 1. Let m = -8 - -8. What is the remainder when 2 is divided by x(m)?
0
Let v = -132 - -146. Let k be ((-18)/(-8))/((-3)/(-104)). Suppose 4*q - k = 2*q. Calculate the remainder when q is divided by v.
11
Suppose 0 = -5*b - 0*b - 4*p - 5, 0 = 3*b + 2*p + 1. Calculate the remainder when b is divided by 2.
1
Let i(g) = 2*g**2 + 3. Let c be i(-3). Let w = -6 + c. Calculate the remainder when 29 is divided by w.
14
Suppose 2*c + 3 - 9 = 0. Suppose 5*y = 2*l - 57, 4*l - 3*l - 30 = c*y. Calculate the remainder when 61 is divided by l.
19
Suppose 3*f + 7 = -5*y, 2*y = -3*f - 0*y + 8. What is the remainder when 10 is divided by f?
4
Let n(y) = -y - 5. Let z be n(-5). Suppose z = -5*c + 3 + 2. Let v(p) = 4*p - 1. Calculate the remainder when 7 is divided by v(c).
1
Suppose h - 2*d + 2 + 2 = 0, 4*d = -2*h + 16. Let l = 6 - 4. What is the remainder when 9 - (l - (3 - h)) is divided by 5?
3
Let x(w) be the third derivative of -w**6/120 + 7*w**5/60 + 5*w**4/24 - w**3/6 - w**2. Calculate the remainder when x(7) is divided by 12.
10
Let j(r) = -r + 52. Let u(q) = 26*q + 1. What is the remainder when j(0) is divided by u(1)?
25
Let m be (-3)/(-2) + 21/6. Suppose 17 + 10 = 2*z + x, -4*x + 72 = m*z. Calculate the remainder when 22 is divided by z.
10
Let i = 29 - 15. Calculate the remainder when 27 is divided by i.
13
Let f = 96 - 91. What is the remainder when f is divided by 1?
0
Suppose 3*z = -z + 32. Suppose 6 = 2*u - z. Let y(t) = -t**2 + t + 3. What is the remainder when u is divided by y(0)?
1
Let s(l) = l - 4 + 0 + 3. Calculate the remainder when 15 is divided by s(10).
6
Suppose 1178 - 406 = 4*c + 5*g, -3*c - 2*g = -579. Suppose -c - 22 = -5*o. What is the remainder when o is divided by 22?
21
Let j be -2*((-9)/2 + -3). Suppose 0 = -j*s + 17*s - 42. Calculate the remainder when 60 is divided by s.
18
Suppose 4*q - 22 = -2*h + 8*q, 4*h - 58 = q. Calculate the remainder when 60 + (-1)/(2 + -1) is divided by h.
14
Suppose 0 = -2*k + 65 - 3. Let z be (148/(-6))/((-2)/6). Let f = z - k. Calculate the remainder when f is divided by 11.
10
Let u be 32/12*(-6)/4. Let w = 7 + u. Suppose 80 = 2*i + w*i. Calculate the remainder when 61 is divided by i.
13
Let u(i) = -2*i**3 - 19*i**2 + 15*i + 17. Let j(a) = -a**3 - 9*a**2 + 7*a + 8. Let t(o) = -13*j(o) + 6*u(o). What is the remainder when t(-2) is divided by 2?
0
Let i(s) = -10*s**2 - 12*s + 7 + 23*s**2 + 2 - s**3. Let a(y) = y - 1. What is the remainder when i(12) is divided by a(5)?
1
Suppose -2*r - 3*c + 7 = 0, 4*r - r - 4*c = 36. Calculate the remainder when 38 is divided by r.
6
Suppose o = -0*o + 2. Let n be 16/(-24)*3*-5. Suppose -2*d + d + n = 2*j, 0 = -4*d + 2*j. Calculate the remainder when d is divided by o.
0
Suppose 0 = -5*u - 10, 3 = -2*t - 4*u - 1. Let c = t + 3. Let b = 9 - c. What is the remainder when b is divided by 3?
1
Suppose 3*a = 4*a. Let v(m) = m + 5. Let s be v(a). Suppose s*j - 2*r - 3 - 3 = 0, 8 = 2*j + 2*r. What is the remainder when 5 is divided by j?
1
Let a(y) = -9 - 3 + 1 - 4*y. Suppose 4*j - 22 - 14 = 4*w, -18 = 2*w + j. Calculate the remainder when a(w) is divided by 9.
7
Suppose 0 = 3*k - 3 + 9. What is the remainder when 52 is divided by (k + -16*1)*-1?
16
Let o(d) = 4*d**3 + 2*d**2 - 2*d + 2. Let t be o(2). Let n = t - 20. Calculate the remainder when 53 is divided by n.
17
Suppose 0 = 4*t - n + 261, 0 = 2*t - n + 2*n + 135. Calculate the remainder when 30 is divided by t/55*(-80)/6.
14
Suppose 2*d - 51 = -13. Let t = 31 - -25. Calculate the remainder when t is divided by d.
18
Let c(u) = 6*u - 9. Let y(v) = v. Let i(h) = c(h) - 5*y(h). Let z be i(9). Suppose z*j + 4*j = 36. What is the remainder when 16 is divided by j?
7
Let j(h) = -2*h**2 - h + 5. Let f(z) = -2*z**2 + 4. Let t(m) = -4*f(m) + 3*j(m). What is the remainder when t(5) is divided by 12?
10
Suppose -9*o = -6*o - 96. What is the remainder when 62 is divided by o?
30
Suppose 2*u + 2*p = 6, -4*u - 4 = -4*p - 8. Suppose f + u*g + 36 = 5*f, -3*g = -f + 9. Let y = -7 + 13. What is the remainder when f is divided by y?
3
Let c(h) = h - 12. Let x(s) = 2. Let l(j) = 5. Let v(g) = 3*l(g) - 7*x(g). Let w(m) = -c(m) - 6*v(m). Calculate the remainder when 40 is divided by w(-8).
12
Suppose 2*m = m + 27. Calculate the remainder when m is divided by 15.
12
Calculate the remainder when 73 is divided by (-162)/(-8) - 85/68.
16
Suppose -383 + 119 = -4*v. Calculate the remainder when v is divided by 23.
20
Let f(k) be the second derivative of k**4/12 + 2*k**2 + 2*k. Let n be f(0). Calculate the remainder when 10 is divided by 5 - (n/2)/(-2).
4
Let g(r) = 6*r + 10. Calculate the remainder when g(5) is divided by 11.
7
Let t = 1 - 3. Let x be (86/(-5))/(t/(-10)). Calculate the remainder when 2/5 + x/(-10) is divided by 5.
4
Let a be -6 + 8 + (0 - 150). What is the remainder when (-15)/(-6)*a/(-5) is divided by 25?
24
Let i = -55 + 93. Suppose 110 - 45 = 5*o + 5*d, 3*d + 41 = 5*o. Suppose 2*u - o = 16. What is the remainder when i is divided by u?
12
Suppose 4*y + 82 = 2*m, 9*m - 4*m = 5*y + 190. Suppose 6*p = p + m. What is the remainder when 20 is divided by p?
6
Let m(q) = q**2 - 5 - 4*q + 2*q + 0*q**2. What is the remainder when 37 - 2/(-6)*-3 is divided by m(-4)?
17
Let f(s) = -s + 1. Let i be (-2)/4*(-12 + 2). Let v be f(i). Let u(x) = -x - 2. Calculate the remainder when 4 is divided by u(v).
0
Suppose -f + 36 = 3*f. Calculate the remainder when 34 is divided by f.
7
Let i(x) be the first derivative of x**3/3 + 5*x**2/2 + 3*x + 7. Let y(z) = -z + 12. What is the remainder when y(9) is divided by i(-5)?
0
Suppose 5*j - j - 50 = -2*k, -4*k + 72 = j. Let z = 33 + -27. What is the remainder when k is divided by z?
5
Let m = 30 + -52. Let k = 3 - 15. Let s = k - m. What is the remainder when 39 is divided by s?
9
Let w(u) = u**2 - 3*u. Let n be 40/(-32)*-1*4. What is the remainder when 38 is divided by w(n)?
8
Suppose 4*x - 12 = -4*b, 2*x - b - 2 = 10. What is the remainder when 61 is divided by (15/(-6))/x*-42?
19
Let d = 2 + 0. Suppose 2*r - 12 = 5*i, d*i = -3*r + 12 + 6. Suppose k - 1 = r. Calculate the remainder when k is divided by 4.
3
Suppose 4*r - 45 = 31. Calculate the remainder when 93 is divided by r.
17
Suppose 2*v - 4*d = -6, 0 = -5*v - 5*d + 5 + 25. Let h = 6 + -12. What is the remainder when v is divided by ((-4)/h)/(1/3)?
1
Let h = 32 - 13. Let p = h - 2. What is the remainder when 32 is divided by p?
15
Suppose 12 = -2*r + 5*r. What is the remainder when 10 is divided by r?
2
Let j(g) = 3*g - 12. Let d be (-1 - (-3 + 0)) + 10. What is the remainder when 94 is divided by j(d)?
22
Suppose -3*u + 5*o + 2 = 0, 3*o = -u + 4*o. What is the remainder when 0 - ((-99 - u) + 1) is divided by 25?
22
Let b = -13 + 23. Suppose 8 = -0*o + 4*o. Suppose -o*m + 61 = 2*m + 3*y, 0 = 2*m + 3*y - 23. Calculate the remainder when m is divided by b.
9
What is the remainder when 199 is divided by (-16)/12 - 157/(-3)?
46
Let b(m) = 3*m**3 - 3*m**2 - 1. Calculate the remainder when b(3) is divided by 14.
11
Let q = -40 - -45. What is the remainder when 19 is divided by q?
4
Let i(r) = -r**2 + 13*r - 10. Suppose 6 + 27 = 3*q. Let o = 43 + -20. What is the remainder when o is divided by i(q)?
11
Let d(p) = 9*p**2 - 4*p**3 + p**2 + 3*p**3 - 10*p + 6. Let s be d(8). Suppose 4*b = -5*v + s, 7 = -3*b - 5. Calculate the remainder when 40 is divided by v.
12
Suppose 4*n = -0*n + 68. What is the remainder when 63 is divided by n?
12
Let x(i) = 2*i + 2. Let n = -77 + 53. Let u = n + 52. Calculate the remainder when u is divided by x(4).
8
Suppose -5*h + 70 = -3*j, 5*j + 40 = 2*h - 7. What