-35)).
24
Let i = 10 - 7. Let u = 8 - i. Suppose -l + 3 = 0, -100 = -5*x - l - 4*l. What is the remainder when x is divided by u?
2
Let i = -19 + 102. Suppose 0 = 3*c - i + 14. Let d = 34 - c. Calculate the remainder when 30 is divided by d.
8
Let j(y) = -y**3 - 12*y**2 - 32*y + 9. Calculate the remainder when j(-8) is divided by 5.
4
Let b(u) be the first derivative of -u**3/3 - 2*u**2 - u + 4. Let y be b(3). Let i = 32 + y. What is the remainder when 37 is divided by i?
7
Let s be (-8)/(-5) + (-8)/(-20). Let m be 0/(-3 - 16/(-4)). Suppose -10 = -3*u + s*j, -u + 4 + m = -j. What is the remainder when 4 is divided by u?
0
Let w = -27 + 32. Calculate the remainder when 101*1*w/5 is divided by 26.
23
Let i(u) = u**3 - 5*u**2 + 4*u - 9. Let t be i(5). Let s(x) = -x**3 + 11*x**2 + 8*x - 15. Calculate the remainder when s(t) is divided by 13.
8
Let j(b) = b - 2. Let m be j(4). What is the remainder when 84 - 9/6*m is divided by 14?
11
Let p(g) = g**3 + g**2 + 2. Let j be p(0). Let q be (j/5)/((-6)/60). Let s(o) = o**3 + 6*o**2 + 4*o - 3. What is the remainder when 23 is divided by s(q)?
10
Suppose 2*j + 4*p + 12 = 0, 0 = 3*p + 1 + 14. Suppose j*t = 84 + 24. What is the remainder when 52 is divided by t?
25
Let h = 20 - 17. Calculate the remainder when 9/h*(1 + 13) is divided by 9.
6
Suppose -5*x + 80 = -2*r, r = -0 + 5. Calculate the remainder when x/(-5)*(-2)/(20/75) is divided by 10.
7
Suppose 3*k - 16 - 108 = -5*d, -2 = -d. What is the remainder when k is divided by 13?
12
Let v(l) be the first derivative of l**4/4 + 7*l**3/3 - 17*l**2/2 + 9*l + 1. Calculate the remainder when v(-8) is divided by 17.
13
Suppose 28*k = 3320 + 1832. Calculate the remainder when k is divided by 9.
4
Let r(s) = -2*s**3 + 16*s + 16. Let w = 3 - 1. Let c(q) = 42*q + 1. Calculate the remainder when c(w) is divided by r(-3).
19
Suppose 0*v + 15*v - 15105 = 0. What is the remainder when v is divided by 23?
18
Let r = 1361 - 1264. What is the remainder when 202 is divided by r?
8
Let d = 230 - 216. What is the remainder when 68 is divided by d?
12
Suppose -2 = -4*m - 14. Let a = m - -4. What is the remainder when 10 is divided by (0 - -4) + -2 + a?
1
Let w be (62 - 2)*(-12)/(-10). Let h = 111 - w. Let l = -11 + 31. Calculate the remainder when h is divided by l.
19
Let g(i) = i**2 + 3*i**2 - 5*i**2 + 2*i**2 - 4. Calculate the remainder when 81 is divided by g(-5).
18
Let t be (304/20)/(1 - 6/5). What is the remainder when 6 is divided by 6/(-27) - t/18?
2
Suppose 5*b = -2*p + 13, -4*p - 4*b + 2 = -3*p. Suppose -30*m - 6 = -28*m. What is the remainder when p is divided by 0 + (-8)/m + (-4)/(-3)?
2
Calculate the remainder when 448/2 - (9/1 + -3) is divided by 44.
42
Let a = 942 - 936. Calculate the remainder when 81 is divided by a.
3
Let x be -120*((-21)/15 - -1). Suppose 18*g - 14*g - x = 0. Suppose 0 = -5*q - c + 201, 4*c = c - g. Calculate the remainder when q is divided by 21.
20
Suppose 2*q = -2*y + 116, 13*y - 17*y - 290 = -5*q. Let l be (-11)/(-2)*2*1. Suppose -l - 4 = -j. Calculate the remainder when q is divided by j.
13
Suppose -4*l + 13 - 1 = 0. Let f(m) = 0*m - m - l + 5*m - 2*m + 2*m**2. Calculate the remainder when 61 is divided by f(-4).
19
Let r = -35 + 104. Calculate the remainder when r is divided by 24.
21
Suppose 0 = 4*o - 4*c - 236, -c - 4 = 1. Suppose m + 70 = 5*f + 5, 9 = f - m. What is the remainder when o is divided by f?
12
Suppose -5*o = -5*z - 16 - 14, -2 = -z. Calculate the remainder when 47 is divided by o.
7
Let y(h) = -h**3 + 8*h**2 + 4*h - 10. What is the remainder when 104 is divided by y(8)?
16
Let f(z) = z**3 - 9*z**2 + 16*z - 9. Suppose -28 - 36 = -2*c. Calculate the remainder when c is divided by f(7).
2
Suppose 2*k - 6*k = 3*y + 201, 0 = -2*y + 2*k - 148. Let j = y - -80. What is the remainder when 35 is divided by j?
8
Let a(y) = 2*y**2 - 6*y - 25. Calculate the remainder when a(-4) is divided by 30.
1
Let s = 38 + -17. Suppose -z + 11*z = 10. Suppose -l + z = -7. What is the remainder when s is divided by l?
5
Let p(f) = -2*f - 12. Let u be p(-7). Suppose -8*g + u*g = -66. Let k(l) = l**2 - l. Calculate the remainder when k(-6) is divided by g.
9
Suppose -3 = -3*d + 9, 3*d = 5*i + 27. Let n(o) = -8*o - 4. What is the remainder when n(i) is divided by 8?
4
Calculate the remainder when 299 is divided by 2/(-12) - (-724)/24.
29
Suppose 37 = o - g - 1, 4*g - 226 = -5*o. Let t = -3084 - -3099. What is the remainder when o is divided by t?
12
Let p = 9 + -3. Suppose 4 - p = -x. Calculate the remainder when 7 is divided by x.
1
Let b = 1761 + -1683. Calculate the remainder when 1167 is divided by b.
75
Let n = -333 + 386. Calculate the remainder when n is divided by 24.
5
Suppose 11*l - 9*l = -70. Calculate the remainder when 4 - ((-147)/l)/((-2)/10) is divided by 10.
5
Let d(t) = 2*t**2 + 4*t + 6. Let x = 100 - -17. What is the remainder when x is divided by d(-3)?
9
Suppose -u + 395 = k, -23*u + 20*u = -4*k + 1615. What is the remainder when k is divided by 130?
10
Calculate the remainder when 84 is divided by (-150)/(-1 - (-10 - -5) - 6).
9
Let c(r) = -57*r**3 - r - 1. Suppose 4*l + 2 = -2. Let d be c(l). Let t = d + -17. Calculate the remainder when t is divided by 14.
12
Suppose 6*g + g - 1407 = 0. Let p = 37 - -14. What is the remainder when g is divided by p?
48
Let y be (6 + -5)/(1/3). Suppose 5*d - 11 = -m + y*d, 4*d = -5*m + 43. What is the remainder when m is divided by 6?
1
Let v(l) = 2*l - 1. Let f be v(-1). Calculate the remainder when 0/(-2) + 18 + 1 is divided by (f - 0)/((-15)/25).
4
Let v = 37 - -61. Let b = 151 - v. What is the remainder when 104 is divided by b?
51
Let y(w) = -2*w**3 + 18*w**2 - 811*w + 5*w**2 + 851*w + 3*w**3 + 2. What is the remainder when y(-21) is divided by 6?
2
Suppose 0 = 13*f - 12*f - 68. Calculate the remainder when f is divided by 256/14 + (-10)/35.
14
Let k(q) = 21*q + 284. Calculate the remainder when 229 is divided by k(-10).
7
Let m(a) = -4 - 3*a + 11 + 5 + 2*a. Suppose 4*g = 2*b - 2, -17 = -4*g - 5. Calculate the remainder when 8 is divided by m(b).
3
Let z = -11 - -16. Suppose 3*q = 4*b + 15, 0 = -2*b + z*b + 5*q + 33. Calculate the remainder when 30 is divided by 4/b - 50/(-3).
14
Let g(y) be the third derivative of y**4/24 + y**3/6 + 2*y**2. Let s be g(1). Calculate the remainder when 33 is divided by s/5 - 406/(-35).
9
Let p = 5 - -19. Let i = 622 - 258. Suppose -i = -4*h - 4*y, -3*y = -5*h + 2*y + 485. What is the remainder when h is divided by p?
22
Suppose p - 100 = 4*d - 17, -3*p = -d - 216. What is the remainder when 139 is divided by p?
68
Suppose 13 - 32 = -4*z + x, -5*x + 25 = 0. Suppose 2*g = a - 22, 24 + 47 = 2*a + 5*g. Calculate the remainder when a is divided by z.
4
Let c(s) be the second derivative of 7*s**4/6 + 2*s**3/3 + 3*s**2/2 - 9*s. Calculate the remainder when c(-2) is divided by (-320)/(-18) + (-6)/(-27).
15
Let l be ((2 + -2)/(-4) - 1)*-6. Suppose l*r - 484 - 362 = 0. Calculate the remainder when r is divided by 16.
13
Let h(u) = 3. Let l(o) = o + 6. Let f(d) = 5*h(d) - 2*l(d). What is the remainder when 71 is divided by f(-8)?
14
Let m = -106 + 107. Calculate the remainder when ((-29)/4)/(m/(-4)) - 2 is divided by 11.
5
Let i(l) = -l**2 + 8*l - 3. Suppose w = 4*w - 21. What is the remainder when 11 is divided by i(w)?
3
Suppose 22 = o + 3*a, 15*a - 18*a = -5*o + 56. What is the remainder when 232 is divided by o?
11
Let n(r) = -7*r - 42. Let m be n(-6). Let d(u) be the first derivative of -u**4/4 + 30*u - 3. Calculate the remainder when d(m) is divided by 16.
14
Suppose 10*n - 29 = 7*n - 5*j, -3 = -3*j. Calculate the remainder when ((-6)/4)/((-2)/20) is divided by n.
7
Let u(w) = w**3 + 6*w**2 - w. Suppose 37*x - 39*x = 12. What is the remainder when u(x) is divided by 3?
0
Suppose 3*j = -r + 1, -r - 25*j + 2 = -23*j. Calculate the remainder when 12 is divided by r.
0
Suppose -5*i - 10 = -5*z + 25, -4*z + 25 = -3*i. Let f = z + 9. What is the remainder when f is divided by 5?
3
Suppose -5*z + 17*z = 4788. What is the remainder when z is divided by 31?
27
Let m = -55 + 57. What is the remainder when 79 is divided by (-2)/(m/(-3)) + 17?
19
Let h(z) = -z**2 + 12*z - 20. Let u be h(10). Let x(c) = -c**3 + c**2 - c + 5. Calculate the remainder when 15 is divide