*w = 12, h + 4*w = -w - 12. Suppose -13*s = -11*s - 10. Calculate the remainder when s is divided by h.
2
Calculate the remainder when (-3)/(-7) - (-600)/70 is divided by 8.
1
Suppose -3*s = -0*s + f - 8, -f = s. Let a(k) = k**3 + 2*k**2 - 3*k - 3. What is the remainder when a(3) is divided by 18/(s/(-2) + 4)?
6
Let c(y) be the first derivative of 3*y**2/2 - 4*y - 1. Let n(g) = -g**2 - 5*g + 3. Let q be n(-4). What is the remainder when 33 is divided by c(q)?
16
Suppose -3*u + 237 = -4*w, 0 = -2*u + 5*w + 26 + 139. What is the remainder when u is divided by 6?
3
Suppose -n + 0*n + 196 = 0. Let x = n + -113. What is the remainder when x is divided by 28?
27
Let l = 132 - 105. Let b(g) = -g**2 + 31*g - 33. Calculate the remainder when b(l) is divided by 18.
3
Let u be 9/(4 + 3/(-1)). Suppose u*k - 588 = 3*k. What is the remainder when k is divided by 10*(2 + -2 + 2)?
18
Let c(o) = -o**3 + 18*o**2 + 47*o + 1. Let u be c(19). Suppose 120 = -7*a + u. Calculate the remainder when a is divided by 20.
19
Let f(r) = 288*r + 28 - 299*r + 8*r**2 - 3*r**2. Calculate the remainder when f(3) is divided by 17.
6
Let w = 3 - 2. Suppose w = -k + 5. Suppose m + m = 8, -5*n + 5*m = -55. What is the remainder when n is divided by k?
3
Let x be (-9)/(27/60)*(-5)/20. Suppose -5*v + 100 = -2*t, 9*t - x*t = -2*v + 16. What is the remainder when v is divided by 5?
3
Let o = 780 + -774. What is the remainder when 18 is divided by o?
0
Suppose 159*m + 159*m + 1023 = 351*m. Suppose b + g = 8, 5*b - g + 0*g = 58. What is the remainder when m is divided by b?
9
Suppose k + 272 = 4*t, -3*k - 4*t - 421 = 395. What is the remainder when (-36)/162 + k/(-9) is divided by 11?
8
Let x(r) = r**3 + 37*r**2 + 66*r + 29. Calculate the remainder when x(-35) is divided by 77.
15
Let v = -16 + 26. Suppose 2*n = 3*n - 14. What is the remainder when n is divided by v?
4
Suppose -16*d = -7*d + 9540. Calculate the remainder when (d/(-8))/5*4 is divided by 27.
25
What is the remainder when (-2)/(-3) + 190/60*32 is divided by 22?
14
Let s(t) = -t**2 - 27*t - 81. Calculate the remainder when s(-17) is divided by 11.
1
Let n = 362 + -38. Calculate the remainder when n is divided by 47.
42
Let w(p) = -p**3 + 17*p**2 + 17*p - 3. Let l be w(18). Suppose 2*y + 3*y - 24 = r, 2*y = 5*r + 97. Let x = r - l. What is the remainder when 7 is divided by x?
1
Suppose 3*n - 29 = -8. Let g = n + 8. What is the remainder when 43 is divided by g?
13
Suppose 26 = t - 5*w, 10 = 2*t - 0*t + 4*w. Calculate the remainder when (0 - (-129)/(-12))*(-6 + 2) is divided by t.
10
Let t = 659 - -800. Suppose 3*j + k - 1022 = 0, 2*k + t = 5*j - 237. Suppose j = -3*m + 8*m. What is the remainder when m is divided by 18?
14
Let r be 1 - (-5)/((-5)/(-8)). Suppose -k = g - 0*k - 9, -r = -g + 2*k. Let a = 58 - g. Calculate the remainder when a is divided by 17.
15
Suppose -x + 3*x = 0. Suppose 2*n + 5*w - 35 = x, 3*n + 3*w + 20 - 50 = 0. Calculate the remainder when 8 is divided by n.
3
Let d(r) = r**2 + 4*r. Suppose -5*p = -5*q - 90, -2*p + 3 = -q - 30. Calculate the remainder when 618/p + 5/(-25) is divided by d(3).
20
Suppose 284 = -21*g + 1607. Let w = -74 - -106. Calculate the remainder when g is divided by w.
31
Let c = -471 - -934. Suppose 0*a - 3 = -a, 5*m + a = c. Calculate the remainder when m is divided by 19.
16
Suppose -4*t + 5*m + 41 = 0, -3*t - m + 0*m = -45. Calculate the remainder when 264 is divided by t.
12
Let c(s) be the second derivative of s**4/12 - 5*s**3/3 + 2*s**2 + 7*s. What is the remainder when -1 - (-1)/(2/14) is divided by c(10)?
2
What is the remainder when 493 is divided by (-20)/(-15)*855/30?
37
Suppose -4*b = -b - 39. Suppose -b - 19 = -4*v. What is the remainder when 15*1*(-1)/(-1) is divided by v?
7
Let p = -57 + 59. Suppose 3*w + 180 = 2*o + 6*w, -2*o - p*w = -176. What is the remainder when o is divided by 29?
26
Suppose -2*r - 2*f + 10 = 0, -5*r - 6 = 2*f - 22. Suppose r*x - 783 = -7*x. What is the remainder when x is divided by 15?
12
Let q(j) = 33*j + 2. Let m be q(1). Suppose -3*h + m = 2*h. What is the remainder when 30 is divided by h?
2
Suppose 0 = -3*q + 5*q - 16. Suppose -q*b + 432 = -2*b. What is the remainder when b is divided by -1 + 3/((-9)/(-78))?
22
Let a(g) = 5*g - 102. Let v(c) = 2*c**2 - 8*c + 1. What is the remainder when a(40) is divided by v(6)?
23
Let j = -66 - -70. Suppose 25 = -j*g + 97. Calculate the remainder when 67 is divided by g.
13
Let k(h) = 6*h - 9. Let o be k(-4). Let g = o + 41. Suppose 0 = 4*v - 227 + 39. What is the remainder when v is divided by g?
7
Suppose 6 = -10*q + 12*q. Suppose q*g = -0*g + 51. Suppose 4*w - 102 - 90 = 0. Calculate the remainder when w is divided by g.
14
Suppose 0 = -2*n + 5*z + 28, -56 = -4*n + 7*z - 11*z. Calculate the remainder when 37 is divided by n.
9
Let c = 4167 + -4130. Let t = 0 + 8. Calculate the remainder when c is divided by t.
5
Suppose -3*u + 24 + 3 = 0. Suppose j - 8 = -2. What is the remainder when u is divided by j?
3
Let h be (-2 + 17)*-2 - 1. Let q = 54 + h. What is the remainder when q is divided by 6?
5
Suppose 0 = 3*w - 2 - 10. Suppose 0 = -q + 3, -2*r = w*q + 10 + 58. Let i = -39 - r. Calculate the remainder when 3 is divided by i.
0
Let k(s) = -s**2 - 8*s - 3. Let r = -36 + 41. Suppose 0*w + 20 = r*d + 3*w, 0 = -d + 5*w + 32. What is the remainder when k(-5) is divided by d?
5
Let h be (-2)/(-5)*(-10)/(-2). Suppose 5*r = 5*w + 270, 2*r + h*r + 2*w = 216. What is the remainder when r is divided by 14?
12
Suppose 0 = 3*w - 5*b - 10, -7*w - 2*b - 2 = -8*w. What is the remainder when 47 is divided by w?
7
Suppose -2163 = -34*q + 5623. Calculate the remainder when q is divided by 117.
112
Let m = 504 - 456. Calculate the remainder when 379 is divided by m.
43
Suppose 3*y - 123 = -4*q, 4*q - 5*y - 59 = 88. What is the remainder when 70 is divided by q?
4
Let t = 1 - -101. Suppose 5*r + 7 = t. What is the remainder when r is divided by 7?
5
Suppose m + 18 = 5*w, 2*w = 2*m - m + 9. Let k be (-13)/39 + (-2)/w. What is the remainder when (-259)/(-14) - k/(-2) is divided by 7?
4
Let x(q) be the second derivative of q**3/6 + 3*q**2/2 - 7*q. Let m be x(10). What is the remainder when 0 + (-2 - m)*-2 is divided by 11?
8
Suppose 2*q = -4*z + 19 + 19, -3*q + 2*z + 89 = 0. Let o = -22 + q. Let d = -15 + 33. Calculate the remainder when d is divided by o.
3
Let r = 23 - 5. Suppose -s = -0*s + 8. Calculate the remainder when (-53 - 0)/(8/s) is divided by r.
17
Suppose -8 - 8 = -2*p. What is the remainder when (-6)/4*(-58)/3 is divided by p?
5
Let v = 14 - 7. Suppose -28*i - 25*i + 1060 = 0. Calculate the remainder when i is divided by v.
6
Suppose 0 = -0*a + 3*a. Suppose 5*r = -2*i - a*r + 18, -i + 24 = -5*r. Calculate the remainder when 24 is divided by i.
10
Suppose -4*m + 20 = -3*m. Let w be (-10)/4*16/(-20). Suppose w*h - 90 = -4*q + 2, 2*h - 80 = -q. What is the remainder when h is divided by m?
18
Suppose 24*o - 252 = 6*o. Let p = 37 - 10. Calculate the remainder when p is divided by o.
13
Suppose -2*f = -3*f. Suppose q - 6*q + 15 = 5*o, 2*o - 4 = f. Let s(y) = y**3 + 3*y**2 - 3*y + 5. Calculate the remainder when s(-4) is divided by q.
0
Suppose -2*g - 225 + 257 = 0. Let z(h) = h + 2. Let s be z(-2). Suppose -i = -28 - s. Calculate the remainder when i is divided by g.
12
Let x(b) = 3*b**2 + 6*b - 23. Calculate the remainder when x(6) is divided by 14.
9
Let l = 11 - 0. Calculate the remainder when 28 is divided by (l + 1)/(-2)*-1.
4
Suppose 4*i + 3*f - 7 = 3*i, 5*i = 2*f - 33. Suppose 5*u + 28 = u. Let d = i - u. Calculate the remainder when 6 is divided by d.
0
Let v be 2/(-7) + (-326)/(-14). Suppose -s + 4*p = 0, 4*s + 4*p + 3 - v = 0. Suppose s*l = 43 - 3. Calculate the remainder when 38 is divided by l.
8
Let c(w) = w**3 - 36*w**2 - 38*w + 56. Calculate the remainder when 168 is divided by c(37).
16
What is the remainder when 126 is divided by 148*6/24 + 6?
40
Suppose -3*x = 19*x - 3476. What is the remainder when x is divided by 40?
38
Let o(k) = 5*k - 11. Let p be o(10). Let a = -30 + p. What is the remainder when a is divided by 4?
1
Let d(q) = -q - 10. Let x be d(9). Let w = 3 - x. Calculate the remainder when w is divided by 3.
1
Suppose 2346 = i + 5*i. What is the remainder when i is divided by 38?
11