the remainder when (-2 + (-14)/(-4))*(m - -13) is divided by 10.
9
Let d(z) be the third derivative of z**6/120 - 3*z**5/20 + z**4/8 + 11*z**3/6 - 4*z**2. What is the remainder when d(9) is divided by 10?
8
Let s(m) = 2*m**3 - 5*m**2 - 6*m + 8. Calculate the remainder when 155 is divided by s(4).
27
What is the remainder when 42 is divided by -18*(-13)/((-78)/(-4))?
6
Suppose 372 = 19*o - 46. Calculate the remainder when 74 is divided by o.
8
Let f = 5 + -1. Suppose f*p = 361 + 79. Suppose 0 = j - 6*j + p. Calculate the remainder when j is divided by 6.
4
Let v(s) = s**3 - 25*s**2 + 46*s + 23. What is the remainder when v(23) is divided by 9?
5
Let b(k) = 7*k + 4. Let a be b(4). Suppose 0 = -4*p - 5*t + a, 5*p - t - 12 = 57. Calculate the remainder when 30 is divided by p.
4
Suppose 0 = 315*x - 295*x - 420. Calculate the remainder when (-586)/(-10) + (-2)/(-5) is divided by x.
17
Let n be (-6)/2*(-12)/9. Let f = -1 + n. Suppose -41*g + 40*g = -2*l + 20, 0 = -2*g - 8. What is the remainder when l is divided by f?
2
Suppose -9*t - 262 = -11*t. Calculate the remainder when t is divided by 15.
11
Let m be 2/((-2 + 4)/2). Suppose x + x = m*z + 56, 5*x + z = 116. What is the remainder when 46 is divided by x?
22
Let h = 24 - 20. Let z(j) = 7*j - 10. Suppose 3*b + 0*b - 15 = 0. Calculate the remainder when z(h) is divided by b.
3
Let i(m) = -m**3 + 4*m**2 + m - 2. Let w be i(4). Suppose w*c - 6*c + 58 = u, c - u = 12. Calculate the remainder when c is divided by 5.
4
Let g = 1118 - 1109. Calculate the remainder when 97 is divided by g.
7
Let z be 940/(-14) + (-5)/(-35). Let c = 78 + z. What is the remainder when 284/14 + (-2)/7 is divided by c?
9
Let v(d) = d**3 + 9*d**2 + 4*d - 9. What is the remainder when 108 is divided by v(-4)?
53
Let z(g) be the third derivative of -g**5/60 + g**4/4 + g**3/6 - 6*g**2. Let t be z(6). What is the remainder when t + 17 - 8/(-8) is divided by 10?
9
Let t = -425 + 504. Calculate the remainder when t is divided by 10.
9
Let u be 3 - 0 - -2 - 3. Let b be 2/(2*1/u). Suppose 6*q - 122 = 4*q + 3*r, 154 = b*q + 5*r. What is the remainder when q is divided by 23?
21
Let n = -6 - -6. Suppose -5*i + 354 + 306 = n. Calculate the remainder when i is divided by 15.
12
Let w(z) = 18*z + 1. Let s = -6 + 10. Suppose -2*h = 3*d + s, 2*h = -2*h - 2*d + 8. Calculate the remainder when w(1) is divided by h.
3
Suppose 3*w + w = 3*m + 438, 2*w - 5*m - 226 = 0. What is the remainder when w is divided by 56?
52
Let u = 180 + -164. What is the remainder when 39 is divided by u?
7
Let j be 50*(-4)/(-8)*8. Let d = j + -111. Suppose 0 = -2*k - d + 227. What is the remainder when k is divided by 18?
15
Let f = -1374 - -2440. Calculate the remainder when f is divided by 119.
114
Suppose 0 = 3*j - 10 + 1. Suppose -6 = 3*r - j. What is the remainder when (660/20)/(0 - r) is divided by 9?
6
Let q(v) = -3*v - v**2 + 10 + 9*v**3 + 9*v**3 + 4*v**3 - 21*v**3. Calculate the remainder when q(0) is divided by 3.
1
Let p(j) = j**2 + 30*j + 245. Calculate the remainder when 75 is divided by p(-16).
12
Suppose -x - x + 6 = 0, -b + 27 = 5*x. Calculate the remainder when 2/(-6)*(15 + -81) is divided by b.
10
Suppose b = 1, -2*b + 47 = -3*j + 8*j. Suppose -j*l + 4*l = -200. What is the remainder when 77 is divided by l?
37
Let t(l) = 24*l**2 + 1. Let a = -691 + 725. Calculate the remainder when t(2) is divided by a.
29
Suppose 91*q - 85*q = 810. What is the remainder when q is divided by 36?
27
Let l be 2/(5 - 3) + 12. Let o(x) = -l*x - 11*x + 0 + 1. What is the remainder when o(-1) is divided by 7?
4
Let n(l) = l**2 + 53*l + 1. What is the remainder when n(4) is divided by 118?
111
Suppose 15 = 5*m, 88*n + 168 = 92*n + 4*m. Let h(b) = -3*b + 3. Calculate the remainder when n is divided by h(-4).
9
Let l = -25 - -13. Let b = l - -18. Suppose -4*z - 7*g + 32 = -3*g, 2*z = -4*g + b. What is the remainder when z is divided by 7?
6
Suppose 5*z = 4*b - 20, -6*z + z + b = 35. Let g be (-447)/9 + z/(-12). Let m = 25 - g. Calculate the remainder when m is divided by 19.
17
Suppose 3*k = -5*r - k + 20, -2*r - 5*k - 9 = 0. Calculate the remainder when r is divided by 7/1 - (0/(-4))/3.
1
Suppose 19 = 4*m - 37. Suppose -m + 0 = -j. Suppose -c = -14 - 13. Calculate the remainder when c is divided by j.
13
Let v(s) = 49*s**2 - 13*s + 47. Calculate the remainder when v(3) is divided by 75.
74
Suppose 0 = 3*h - 7*h. Suppose 4*o - 5*c + 182 = h, 4*o - c + 188 - 14 = 0. Let q = 85 + o. What is the remainder when q is divided by 15?
12
Let q = 158 + -158. Let y = -19 - -29. What is the remainder when 12/9*(228/8 + q) is divided by y?
8
Suppose -3*q = -2*w - w - 6, -4*w - 11 = -5*q. Suppose 0*r - 77 = -2*r - d, 0 = q*r + 2*d - 116. What is the remainder when r is divided by 10?
8
Let s = 552 + -541. Calculate the remainder when ((-3)/(-2))/(2/28) is divided by s.
10
Let c(u) = 13 - 11 + 37*u + 5. What is the remainder when c(1) is divided by 12?
8
Let f(o) be the first derivative of 22*o**3 - o**2/2 + o + 12. What is the remainder when f(1) is divided by 17?
15
Suppose -4*p - 5*m - 1 = 1, 3*m = p + 9. Let n be 0/((-2)/(-3)*p). Calculate the remainder when (n + 4)*(0 - -2) is divided by 5.
3
Suppose 18*q - 84 - 1050 = 0. Calculate the remainder when q is divided by 39.
24
Suppose -4*c + 3280 = -5*j, 4*j = 2*j + 8. Let i = -389 + c. What is the remainder when 42 is divided by 1/5 + i/20?
20
Suppose -5*d = -a - 2470, 0 = -5*a - 21 - 4. What is the remainder when d is divided by 19?
18
Suppose 183*s - 177*s = 192. What is the remainder when s is divided by 6?
2
Suppose 133*g + 158 = 453 + 370. Calculate the remainder when 1*(-2)/((-2)/13) is divided by g.
3
Suppose -18*i = -414 - 72. Calculate the remainder when i is divided by (-4 - 0 - -4) + 1*7.
6
Suppose 0 = 36*r - 35*r + 3, -123 = -3*d + 2*r. What is the remainder when d is divided by 8?
7
Suppose -5*z = -133 - 2. Let k = 30 - z. What is the remainder when k is divided by 1?
0
Let s be (38/3)/((-18)/(-27)). Let b = s + -13. Calculate the remainder when 2 is divided by 15/b*(-12)/(-15).
0
Suppose 5*m - 2*q = -6*q, 0 = -m - 3*q. Suppose -2*x - x - 12 = 0, m = 2*p - 5*x - 60. Calculate the remainder when p is divided by 8.
4
Suppose -8*q + 240 = 8*q. Calculate the remainder when 190 is divided by q.
10
Suppose -10*a + 117 = -883. Let i = -56 + a. What is the remainder when 173 is divided by i?
41
Let s(x) = -x**2 - 59*x - 1. What is the remainder when s(-55) is divided by 56?
51
Let k = -1 - -98. Let m be (-1)/3*9*(3 - 4). Suppose j - 33 = h, 0 = 4*j + m*h - 0*h - k. Calculate the remainder when 54 is divided by j.
26
Suppose -4*h + 348 = 2*h. Let o = h - 14. Calculate the remainder when o is divided by 16.
12
Suppose 0 = -8*o + 40 + 8. What is the remainder when o is divided by 3?
0
Let o = -407 + 547. What is the remainder when o is divided by 75?
65
Let j = -111 + 210. What is the remainder when j is divided by 51?
48
Let h = 0 - -6. Suppose -h*y + 11*y - 50 = 0. Calculate the remainder when 18 is divided by y.
8
Let d(x) = -32*x + 905. What is the remainder when 430 is divided by d(27)?
20
Let n = 14 - 12. Let r(w) = 27*w + 1. Let o be r(n). Suppose -5*b + 4*p + p = -o, 0 = 4*p - 12. Calculate the remainder when 40 is divided by b.
12
Suppose 2*c - c = -16. Let u = c + 19. Suppose -l - u - 3 = -2*o, 0 = 3*o - l - 11. What is the remainder when 12 is divided by o?
2
Calculate the remainder when -3 + 8 + (-3 - -17 - -3) is divided by 13.
9
Suppose 294 = 68*i - 998. What is the remainder when 225 is divided by i?
16
Let s = 763 + -58. Calculate the remainder when s is divided by 101.
99
Let d(f) = -55*f - 789. Calculate the remainder when 264 is divided by d(-16).
82
Suppose 4*z - 32 = -0*x + 2*x, 3*x = -5*z + 18. Calculate the remainder when 2/(3 + -1) - -21 is divided by z.
4
Let v(p) = 27*p + 120. Calculate the remainder when v(-4) is divided by 8.
4
Let n be 4/16 - (-911)/4. Suppose 5*s = n - 63. Calculate the remainder when s is divided by 12.
9
Let f = -749 + 1989. What is the remainder when f is divided by 54?
52
Let d be (-5)/((-50)/444) + (-46)/115. Calculate the remainder when 42 is divided by (0 + 1)/((-6 + 10)/d).
9
Let o(t) = -t**3 + 7*t**2 + 10*t + 9. Let i be 1/(0 + 4/32). What is the remainder when 47 is divid