0
Let u(m) = -m**3 + m + 7. Let d be u(0). Let z be (-949)/(-52) - (-1)/(8/6). Let v = d + z. Calculate the remainder when 102 is divided by v.
24
Let s(f) be the third derivative of f**5/30 + f**3/6 - f**2. Let r(p) = 60*p - 351. Calculate the remainder when r(6) is divided by s(1).
0
Let p(f) = f**2 + 7*f. Let i be p(-7). Suppose i = -2*k - 4*x + 46, -k + 35 = -0*k - 4*x. What is the remainder when 28 is divided by ((-9)/k)/(1/(-18))?
4
Suppose -33*h + 124 = -8. What is the remainder when 4 is divided by h?
0
What is the remainder when 188/36 - (-4)/(-18) is divided by 3/(-6)*(-4 + -2)?
2
Let l(a) = 12*a - 40. Let i(f) = -26*f + 80. Let o(x) = 3*i(x) + 7*l(x). Calculate the remainder when 298 is divided by o(15).
48
Suppose -2 + 82 = 5*x. Suppose 58 = 5*q - 22. Let a = q + x. What is the remainder when a is divided by 17?
15
Suppose -4*t = -5*w - 22, -6*t + 11*t - 25 = 5*w. Suppose 4*r - 6 - 10 = 0. What is the remainder when r is divided by t?
1
Suppose 0 = 2*u + l + 4 - 38, -56 = -4*u + 4*l. Suppose -c + 6 = 3*h - 6, -3*c = 4*h - 16. Calculate the remainder when 171/h + 8/32 is divided by u.
11
Let x = 63 + -34. Suppose -f - x = -85. What is the remainder when f is divided by 15?
11
Suppose 0*b - 11*b + 319 = 0. What is the remainder when b is divided by 8?
5
Suppose 246 = g - 18. Calculate the remainder when g is divided by 67.
63
Let w(i) = -i**2 - 7. Let t be w(0). Let g(z) = z**2 + z - 4. Suppose 0 = -625*r + 617*r + 904. Calculate the remainder when r is divided by g(t).
37
Let g(p) = -p + 4. Let z be g(1). Suppose z*m - 15 = 30. What is the remainder when 71 is divided by m?
11
What is the remainder when 258 is divided by -13 + 63 + (6 - (2 - 1))?
38
Suppose -90*k = -88*k - 62. What is the remainder when k is divided by 8?
7
Let g be (6/(-9))/(-2*(-5)/795). Let v = g - -80. What is the remainder when v is divided by 2/(-1 + (-16)/(-14))?
13
Let g be 2 + 0 + 3 - 3. Suppose -5*m + 4*o = -g*m + 43, -5*m = -o + 49. What is the remainder when 3/1 - (m - -8) is divided by 3?
1
Let b(m) = -m**3 + 3*m**2 + 2*m - 2. Suppose 0 = 4*j - 2*j - 12. Let u = 2 + j. Calculate the remainder when b(-2) is divided by u.
6
Let q be (3 + -9)/3 - 124. Let x = 128 + q. Calculate the remainder when 10 is divided by x.
0
Let d(m) be the first derivative of 3*m**2 + 4*m + 2. What is the remainder when d(5) is divided by -7*16/(-28) - -5?
7
Let q be (-5)/(-45) - 6/54. Suppose q = 2*x - 19 + 13. Let h(n) = -n**2 + 4*n. Calculate the remainder when h(2) is divided by x.
1
Let f = 76 - 9. Let u = 916 - 896. What is the remainder when f is divided by u?
7
Let p be (-7)/(14/10) + 1. What is the remainder when p/(-2)*(-1386)/(-44) is divided by -1 - (-24 - -1)*1?
19
Calculate the remainder when ((7462/78)/(1/3))/1 is divided by 77.
56
Suppose -2*n = -3*b - 76, 3*n + 0*b + 2*b - 140 = 0. Calculate the remainder when 437 is divided by n.
41
Let m = 71 - 31. What is the remainder when 479 is divided by m?
39
Let u(h) = -h**3 - 5*h**2 - 3*h - 3. Let b be 66 - (2 - 1 - -2). Suppose 2*g + g - b = 0. Calculate the remainder when g is divided by u(-5).
9
Suppose -8 = -3*s + 10. Suppose 5*y - s = -y. What is the remainder when 2 is divided by y?
0
Calculate the remainder when 124 is divided by 4284/78 - (-2)/26.
14
Suppose -27 = l - 4*l. What is the remainder when (-1)/3 + 2/((-30)/(-245)) is divided by l?
7
Let h(q) = -q**3 - 13*q**2 - 66*q + 13. Calculate the remainder when h(-7) is divided by 64.
53
Let t = 15 + -8. Let p = 50 + t. What is the remainder when p is divided by 20?
17
Let f(c) = c**2 - 88*c + 666. Let h = -26 - -40. Calculate the remainder when f(8) is divided by h.
12
What is the remainder when 528 is divided by 8/(-5) + 2 + (-37655)/(-425)?
83
Let g be 33/8 + 18/(-144). What is the remainder when (-4 + 3)/(2/(-250)) - g is divided by 25?
21
Suppose -4*s + g + 0*g + 573 = 0, 0 = 5*s + 2*g - 713. What is the remainder when s is divided by 36?
35
Let a be ((-21)/(-63))/(1/6). Suppose a*p = 2*o - 56 - 0, 148 = 5*o + 3*p. What is the remainder when 47 is divided by o?
18
Calculate the remainder when 43 + (3 + 0)/((-24)/16) is divided by 14.
13
Suppose 0*a + 3*a + 210 = 4*p, -a = p - 49. Let d(f) = 13*f**2 + 17*f. Calculate the remainder when p is divided by d(-2).
15
Let i be (-20)/(-8)*4/10. What is the remainder when 9 is divided by (0 - i)*(-15)/(-9)*-3?
4
Let v = 41 + -26. Let b(f) = -f**3 - 2*f**2 + f - 2. Let a be b(-3). Suppose -a*p + 45 = 21. What is the remainder when v is divided by p?
3
Let z be 146/12 + (0 - 6/36). What is the remainder when (28/z - 2)*(2 + 31) is divided by (-1)/2*-1*12?
5
Let n(a) = -13*a**3 + a**2 - 3*a + 1. Let b be n(-2). Suppose v - 23 = 3*c - 2, 5*v - b = 5*c. What is the remainder when 68 is divided by v?
20
Let z(i) = -i**3 - 8*i**2 - 7*i + 10. Let w be -118*-3*(-1)/(-6). Let u = w - 31. What is the remainder when u is divided by z(-7)?
8
Suppose 44*z = 21022 + 32438. What is the remainder when z is divided by 13?
6
Suppose 0 = w + 23 - 38. Calculate the remainder when 42 is divided by w.
12
Let g = 1072 - 981. Calculate the remainder when g is divided by 3.
1
Suppose 3*w + 20 = 14, 4*g - 2*w = 680. Let n = -133 + g. What is the remainder when n is divided by 26?
10
Suppose -3 = 2*c + 3*u, -2*c - 4 = 2*u - 0. Suppose 212 = 4*o + 184. What is the remainder when 1/c*-1*33 is divided by o?
4
What is the remainder when (-3)/(-2) + (-2567)/(-34) is divided by 27?
23
Suppose 5*d = v + 335, -4*d - 41*v = -38*v - 287. What is the remainder when 180 is divided by d?
44
Let c(h) = -h**3 - h**2 + 7*h + 6. Calculate the remainder when c(-4) is divided by 11.
4
Let g be 396/14 - 6/21. Suppose 2*n = -5*v + 65, -g = -0*v - 3*v + n. Calculate the remainder when 52 is divided by v.
8
Suppose 3*x - 142 = -5*l, x + 6 - 54 = -l. Calculate the remainder when x is divided by 19.
11
Suppose -2*v + 5*i + 11 = -0*v, -i + 8 = 3*v. Suppose 0*b = -v*y - 5*b + 74, -5*y + 5*b = -70. What is the remainder when y is divided by 4?
2
Let w be ((-28)/12)/(1/(-6)). Suppose -46 + w = -4*p. What is the remainder when 27 is divided by p?
3
Let i = 10315 - 10240. Suppose 4*d = 3*d + 16. What is the remainder when i is divided by d?
11
Suppose 62 + 178 = 5*t. Suppose -70*i = -29*i - 738. Calculate the remainder when t is divided by i.
12
Let d = 18 - -20. Suppose -16 = -2*u - 2*u + 3*q, -3*u - q = -12. Suppose -3*y + 17 = c, -5*c + y + 65 = -u*y. Calculate the remainder when d is divided by c.
10
Suppose 4*d - 2*d + 10 = 0. What is the remainder when (-36)/d*(-45)/(-6) - -1 is divided by 20?
15
Suppose 2*o = 4*o - 12. Let k = -961 - -977. What is the remainder when k is divided by o?
4
Let u(n) = 2*n**2 + 3*n - 4. Let y = 4 - 2. Suppose -5*j + 31 = 3*t, -y*t = -4*j - 35 - 15. What is the remainder when t is divided by u(-3)?
2
Let q = -102 + 107. What is the remainder when 10 is divided by q?
0
Let b = -1 + 11. What is the remainder when b is divided by ((84/8)/(-7))/((-17)/34)?
1
Calculate the remainder when 36 is divided by -10*((-18)/14 + 4/14).
6
Let j(l) = 3*l**2 - 14*l + 3. Let h be j(15). Calculate the remainder when (-375)/(-13) + 9/(h/8) is divided by 15.
14
Let t be ((-5)/2)/((-2)/204). What is the remainder when t/5 + (-1 - -3) is divided by 19?
15
Let s(g) = -2*g - 3. Let v be 1/((-2)/12*1). What is the remainder when (62/12 - (-2)/(-3))*520/90 is divided by s(v)?
8
Suppose -4*a + 3*z - 3 - 13 = 0, -5*z = -20. Calculate the remainder when (-8*(-2 - a))/((-53)/(-424)) is divided by 13.
12
Calculate the remainder when (-154251)/(-189) - ((-2)/7)/(-2) is divided by 39.
36
Suppose v + 2*i - 200 = 0, -5*i - 368 = -5*v + 677. Calculate the remainder when v is divided by 69.
68
Let y be -9 - (-4)/(-2 - 0). Let t = y + 3. What is the remainder when 2*4/t - -38 is divided by 13?
11
Let q = 159 - 145. Suppose 160 = 4*z + q*j - 10*j, -2*z + 100 = -2*j. Calculate the remainder when 178 is divided by z.
43
Let h = -10 - -10. Suppose h = -p + 5*p. Suppose p = 3*c - 40 + 1. What is the remainder when 38 is divided by c?
12
Let x(m) = -2*m - 7. Let t be 21/(-5) + 3/15. Let u be x(t). Suppose -s + 14 = u. Calculate the remainder when 25 is divided by s.
12
Let a be 0 - 12*1 - 2. Let o = -11 - a. Suppose -6*j + 11*j + 5 = h, o*j - 81 = -5*h. Calculate the remainder w