e 3*u - g = -4*o + 8, 5*o = -3*u + 26. Calculate the remainder when o is divided by 3.
1
Let s(a) = -51*a - 17. Calculate the remainder when s(-25) is divided by 28.
26
Suppose -3*k = -5*g - 632, 2*k + 106 = -g - 23. Let f = -85 - g. Calculate the remainder when f is divided by 11.
9
Let u(c) be the first derivative of 6 - 3*c + 2/3*c**3 + 7/2*c**2. What is the remainder when u(-6) is divided by 15?
12
Let u(v) = 8*v**3 - 6*v**2 + 16*v - 14. Calculate the remainder when u(2) is divided by 37.
21
Suppose 3*g = 4*g. Suppose -5*k - o + 128 = 0, -k + g*o - o + 24 = 0. What is the remainder when k is divided by 15?
11
Suppose 8*n - 12 = 20. Suppose 0 = y + s - 92, 2*y = n*y + s - 186. What is the remainder when y is divided by 24?
22
Let b = -504 + 791. Suppose -3*v - 295 = -4*c, -3*c - 5*v = c - b. Suppose -4*p = 5*a - a - 108, -4*a + 102 = p. What is the remainder when c is divided by a?
23
Let m(q) = q**2 - q - 4. Let n = 79 + 34. Calculate the remainder when n is divided by m(7).
37
Suppose v - 16 = -2*n + 50, -114 = -2*v + 2*n. Calculate the remainder when v is divided by 26.
8
Suppose 3*n + 15 = 2*z, -5*z + n + 49 = 5*n. Let t = 7946 + -7921. Calculate the remainder when t is divided by z.
7
Suppose -5*p + 10 = -o, 2*o - 2 = 5*p - 17. Let y(i) = i + 9. Let c be y(o). Suppose 25 = c*g + g. What is the remainder when g is divided by 4?
1
Suppose k = -11*k + 192. Suppose -k = -4*p + 64. What is the remainder when 79 is divided by p?
19
Let y(c) = -6*c - 4. Let f be y(-11). Let r = -44 + f. What is the remainder when 84 is divided by r?
12
Let j(b) = 10*b**2 - 15*b - 2. Suppose -v = f - 0 - 10, v = f. Suppose 0*z = -4*p + 5*z + 63, 5*p - f*z = 85. Calculate the remainder when p is divided by j(2).
6
What is the remainder when (0 + 4)/((-580)/(-90) - 6) is divided by 6?
3
What is the remainder when 119 is divided by (-1)/6 + 134/(-36)*-3?
9
Let h = -419 - -615. Calculate the remainder when h is divided by 62.
10
Let r = 33 + -6. Let d = r + 2. Let o = -22 + d. What is the remainder when 26 is divided by o?
5
Let a = 30 + -19. What is the remainder when 39 is divided by a?
6
What is the remainder when 154 is divided by (328/(-12))/(6/(-9)) + -2?
37
Suppose -3*u + 0*n + 975 = -4*n, -1648 = -5*u - n. What is the remainder when u is divided by 53?
11
Suppose 2*m = 4*m - 668. Suppose 60 = -2*x + m. Calculate the remainder when x is divided by 20.
17
Suppose 115 = 11*l + 12*l. What is the remainder when 824 is divided by l?
4
Suppose -5*r = -2*b + 355, -4*r - 2*b = -5*r - 63. Let g = -65 - r. Suppose -5*v = 3*k - 21, 4*k + 7 - 3 = 4*v. Calculate the remainder when g is divided by v.
2
Let l(m) = 7*m**2 + m. Let t be l(1). Let c(b) = 0 + 7 + 8*b + 8*b**2 - 2*b - b**3 - 22. What is the remainder when c(t) is divided by 17?
16
Let u(i) = -17 + 4 + 3*i + 56*i**2 - 55*i**2. Calculate the remainder when 43 is divided by u(-7).
13
Let y = -260 - -295. Calculate the remainder when 104 is divided by y.
34
Let k be 54/(-12)*4/(-6). Let r(a) = -a + 5. Suppose -18 = -5*s + 3*s - c, 12 = 3*c. Calculate the remainder when s is divided by r(k).
1
What is the remainder when 24/((-9)/3) + 175 is divided by 84?
83
Let h be -2*(-2)/4 - 1. Let o(g) = g**3 + g**2 - g + 21. Suppose -2*a = -a - 3*u - 30, -4*a + 147 = -3*u. What is the remainder when a is divided by o(h)?
18
Let c = 353 + -226. Suppose 5*w - 138 - 75 = 2*t, 0 = 3*w - 2*t - c. What is the remainder when w is divided by 16?
11
Let f = 49 - 11. Let i = f - -21. Suppose 0 = r - 7 - 13. Calculate the remainder when i is divided by r.
19
Suppose 0 = -2*h + 68 - 26. Let k = -31 - -43. Suppose -17*c + 515 = -k*c. What is the remainder when c is divided by h?
19
Let m(n) = -2*n**3 - 25*n**2 - 14*n - 11. Calculate the remainder when 71 is divided by m(-12).
6
Let u(z) = z**2 - 2*z - 30. What is the remainder when u(-12) is divided by 20?
18
Calculate the remainder when 21 is divided by 5*(-3 - -4) + 2.
0
Let z(p) = -140*p + 2. Let q be z(1). Let t be ((-9)/6)/(9/q). Suppose -t = -s + 16. What is the remainder when s is divided by 14?
11
Let f = -2 - -3. Suppose -f = -3*y + 2*y. Calculate the remainder when 18 is divided by 7 - (8/4 + y).
2
Let s = -9 + 17. Let x(f) = 3*f - 10. Suppose -43 + 262 = 4*q + c, -q + 42 = -4*c. What is the remainder when q is divided by x(s)?
12
What is the remainder when 32/20 - (-4067)/5 is divided by 19?
17
Suppose 518*y - 495*y - 1518 = 0. Calculate the remainder when y is divided by 17.
15
Suppose 3*u - 97 = 8*p - 4*p, 3*p - 210 = -5*u. Suppose a = 6 + 5. What is the remainder when u is divided by a?
6
Let s be ((-50)/(-18) - 3) + 3906/81. Suppose 0 = 4*u - r - 95, -4*u + 50 = -2*u + 2*r. Let j = s - u. Calculate the remainder when j is divided by 9.
6
Let i(l) = -l + 19. Let s be i(17). Suppose -10 = s*x - 30. What is the remainder when 39 is divided by x?
9
Suppose -w + 2*w + 3*r = 26, 9 = 3*r. What is the remainder when w is divided by 5?
2
Let m(r) = r**2 + 3*r + 2. Let g be m(-2). What is the remainder when 19 is divided by (g/(-2) + -1)*-8?
3
Suppose -16*f + 35*f - 2660 = 0. Calculate the remainder when f is divided by 48.
44
Let w(z) = 13*z - 2. Suppose 0 = 3*j - 5 - 4. Calculate the remainder when w(j) is divided by ((-10)/(-3))/(1/6).
17
Let u(j) = j + 57. Let a(p) = -29. Let b(r) = -5*a(r) - 2*u(r). Let f(g) = -3*g - 8. Let k be f(-6). Calculate the remainder when 21 is divided by b(k).
10
Let p(a) = a - 1. Let q be p(3). Suppose -q*f + 27 = f. Calculate the remainder when f is divided by 4 + 3*(10/15)/(-2).
0
Let g(f) = 23*f + 433. Suppose h - q = -3*q + 20, -5*h + q = -67. Calculate the remainder when g(-16) is divided by h.
9
Let g(h) = -4*h - 51. Calculate the remainder when g(-15) is divided by 3.
0
Calculate the remainder when 753 is divided by 28/(-105)*3 + (-64)/(-5).
9
Suppose 0 = -b + 5*s + 11, -95*s - 27 = -5*b - 98*s. Calculate the remainder when 8 is divided by b.
2
Let w = 4 - -23. Suppose -6*r + 742 = r. What is the remainder when r is divided by w?
25
Suppose -121 = f - 18. Let p = 110 + f. Let q(t) = -t**3 - 6*t**2 - 6*t + 7. Calculate the remainder when q(-5) is divided by p.
5
Suppose -89*w + 3587 - 1184 = 0. What is the remainder when w is divided by 20?
7
Let n(o) = -o**2 + 8*o + 371. Calculate the remainder when 313 is divided by n(-14).
61
Suppose 0*m + i + 22 = m, 4*i = -2*m + 14. Let v(x) = 3*x**2 + 13*x - 1. Calculate the remainder when m is divided by v(-5).
8
What is the remainder when 276 is divided by (-6984)/(-90) - (32/20)/(-4)?
42
Let t be 464/6 + (2 - 14/6). Let v = -70 + t. Suppose 4*p = 12, h + 5 = -5*p + 47. What is the remainder when h is divided by v?
6
Let d be ((-2)/(-4))/(5/20). Suppose 0*g = -g + 18. Let p = g + d. Calculate the remainder when p is divided by 6.
2
Let h(l) = 17*l - 2. Let q be h(1). Let j = q + -4. Suppose -23 = -u + 18. Calculate the remainder when u is divided by j.
8
Let k(y) = -y**3 + y**2 + 2*y. Let m be k(-1). Suppose 4*b - 17 - 59 = m. Calculate the remainder when 71 is divided by b.
14
Let k = 9 - 6. What is the remainder when 18/(-4)*(-16)/k is divided by (-3 - (-13)/2)*(5 - 3)?
3
Suppose 0 = -6*z + 3*z + 102. Let a = -37 - -59. What is the remainder when z is divided by (-1040)/(-88) - (-4)/a?
10
Let x = 555 - 515. What is the remainder when x is divided by 11?
7
Suppose 11*o = 2*o + 135. Suppose 3*u + 2*u = 135. Calculate the remainder when u is divided by o.
12
Let j = -128 - -129. What is the remainder when j - 4 - -2*(-2 + 34) is divided by 23?
15
Suppose -5*k + 30 = y, -4*k = -6*y + y + 5. Suppose 2*d - 6 - 26 = -4*n, -64 = -k*d - 2*n. Calculate the remainder when d is divided by 3.
0
Suppose -8*j = -201 - 95. What is the remainder when j is divided by (-10)/(-6)*3*2?
7
Let y = -2 - -33. Let w = y + 10. What is the remainder when w is divided by 6?
5
Let z be 10 - 3/((-9)/6). Let q(g) = -1 - 7*g**2 + z*g**2 + 2*g - 3*g. What is the remainder when 8 is divided by q(-1)?
3
Let b(v) = -20 + 18 - 13 - 2*v. Let c(d) = 2*d**2 - 4*d - 5. What is the remainder when c(4) is divided by b(-9)?
2
Let x be -26*6/4*-1. Let q = 128 - x. Calculate the remainder when q is divided by 15.
14
Suppose 3*u + 4*b - 46 = u, -3*u + 63 = 3*b. Let f = u + 36. Calculate the remainder when f is divided by 14.
13
Let i(m) = -2*m 