e -5*1 + (33 - 33). Let q(p) be the first derivative of -p**2 + p + 42. Calculate the remainder when 19 is divided by q(w).
8
Suppose 47*r - 43*r - 164 = 0. Calculate the remainder when 328 is divided by r.
0
Let g = -174 + 181. What is the remainder when 98 is divided by (1 - g - -74)/4?
13
Suppose 14*f - 210 + 0 = 0. What is the remainder when ((-5)/(-3))/(f/657) is divided by 38?
35
Calculate the remainder when 64 is divided by (455/(-42) + 11)*198.
31
Suppose 4*w - 90 = 3*i, w + 5*i - 13 = i. Suppose 284 + 4141 = 59*u. Calculate the remainder when u is divided by w.
12
Let g(x) = 26*x - 3. Let s(y) = y**3 - 3*y**2 + 2*y - 3. Let k be s(3). Calculate the remainder when g(k) is divided by 1304/50 - (7 + (-692)/100).
23
Let h = 24 - 1. Suppose 2*y = -4*g - 4284, -y + 895 = g + 3034. What is the remainder when (2/(-2))/(24/y) is divided by h?
20
Suppose -61*x = -66*x - 2*s + 451, 388 = 4*x + 5*s. Calculate the remainder when 1130 is divided by x.
86
Let r be 2 + 5/(5/(-2)). Suppose 9 = -a - 5*i, -2*a + 2*i = -r*a + 6. Let d(n) = -n - 2. What is the remainder when 6 is divided by d(a)?
0
Let z be -81 + 81 - (0 + (2 - 2050)). Suppose -8*m + z = 1760. What is the remainder when 137 is divided by m?
29
Let j = -53 - -198. Let y = 222 - j. Suppose -5*r - 5*p + 145 = 0, 2*r - 37 = p + 4*p. What is the remainder when y is divided by r?
25
Let l be (520/78)/((-2)/(-6)). Suppose h - 5*j + 16 = 0, 22*j - 17*j = l. What is the remainder when 27 is divided by h?
3
Let j(g) = -2*g**2 - 38*g - 5. Calculate the remainder when j(-12) is divided by (-11)/(55/(-70)) - -1.
13
Let f(c) = -3*c - 3. Let a be f(-4). Suppose 4*y - a = -1. Suppose -4*b + y*r = -502, 4*r - 507 = -4*b + 7*r. Calculate the remainder when b is divided by 42.
39
Let z(x) = x - 17. Let k be z(16). Calculate the remainder when 34 is divided by 0 + (22 - 0) + k + -1.
14
Suppose -a = -6*a + 645. Suppose h - 2*p = 8, 16*h - 13*h - p = 29. Calculate the remainder when a is divided by h.
9
Let g = 35 + 29. Let j = 747 + -741. What is the remainder when g is divided by j?
4
Suppose 5*c = c + 4, -2*c - 21 = -b. Suppose -11 = -s + b*v - 19*v, 60 = 3*s - 3*v. Calculate the remainder when 245 is divided by s.
15
Suppose 12 = r - 3*y - 14, -3*r = 2*y - 56. Let o = -12 + r. Calculate the remainder when -29 - (-3976)/84 - 11/(-3) is divided by o.
6
Suppose -98*p + 83*p = -5*s + 285, 3*s = p + 227. What is the remainder when 838 is divided by s?
58
Suppose -v + 2*v = 5. Suppose -5*b + 55 = 4*t, -20 = -3*b - 0*b - v*t. Suppose 2507 = -40*k + 4867. What is the remainder when k is divided by b?
14
Let g = -18 + 29. Suppose x - 4*l = -2*l - 5, 0 = -4*x + 5*l - 8. Suppose -2*p + 4 = -x*p + 4*b, b - 37 = -2*p. What is the remainder when p is divided by g?
5
Let x(y) = -405*y**3 - 3*y**2 - 17*y - 15. What is the remainder when x(-1) is divided by 133?
5
Let f(h) = h**3 - h**2 - 2*h - 53. Let w(g) = g**3 - 5*g**2 + 5*g + 2. Calculate the remainder when w(6) is divided by f(5).
31
Suppose 0 = -135*b + 123*b + 324. Calculate the remainder when 155 is divided by b.
20
What is the remainder when 481 + 20/(-25)*5 is divided by 32?
29
Let k(z) = -z**2 + 9*z - 10. Let c be k(7). Suppose 3*a = c*a - 31. Let n = 1857 - 1849. Calculate the remainder when a is divided by n.
7
Suppose -4*z - 11 = -35. What is the remainder when z is divided by 8/5 - (-26 - (-1664)/65)?
0
Let b = -82 - -85. Suppose 4*j + b*r = 8*j - 104, 5*j + r - 130 = 0. Calculate the remainder when j is divided by 14.
12
Suppose -294 + 9 = -b. Let v = 304 - b. What is the remainder when 167 is divided by v?
15
Let q(z) = 1492*z - 8836. What is the remainder when 1900 is divided by q(6)?
44
Suppose -34477 = 27*l - 109807. Calculate the remainder when l is divided by 21.
18
Let k(i) = i**2 - 14*i + 10. Let p be k(23). Let g = 466 - p. Calculate the remainder when g is divided by 11.
7
Suppose 41 = -3*x + 362. What is the remainder when 553 is divided by x?
18
Suppose 1161 = 33*u - 2304. What is the remainder when 743 is divided by u?
8
Let s = -4269 + 4768. Calculate the remainder when s is divided by 56.
51
Let r(j) = j**3 + 13*j**2 - 11*j + 44. Let w be r(-14). Suppose 5*y + 5*a = 245, -a + 5*a - 92 = -w*y. What is the remainder when 203 is divided by y?
47
Let b be (3/(-1))/3*1. Let u be 5/2 - 4*(-3)/(-24). Calculate the remainder when 59 is divided by b/u*60/(-3).
9
Suppose -4*s - 3*a - 12 = 0, 7*s = 10*s + 4*a + 16. Let i(h) = -h**3 - 8*h**2 - 4*h - 9. Calculate the remainder when s + 4 - (-59 - -18) is divided by i(-8).
22
Let d = 3427 + -3307. Calculate the remainder when d is divided by 25.
20
Suppose p + 10*k - 50 = 11*k, 5*p - 250 = -k. What is the remainder when 6849 is divided by p?
49
Let f(h) = -7*h**2 - 126*h + 62. Calculate the remainder when f(-18) is divided by 39.
23
Let u = -796 - -516. Let h = -211 - u. Calculate the remainder when h is divided by 12.
9
Calculate the remainder when 960 is divided by 11 + (-58)/6 + 718/6.
113
Suppose 236*q - 209 = -237*q + 472*q. What is the remainder when q is divided by 61?
26
Let g(x) = -x**3 - 8*x**2 - 6*x + 43. What is the remainder when 132 is divided by g(-7)?
24
Suppose 2*b = -4, 2*j - 1076 = -12*b + 16*b. What is the remainder when j is divided by 135?
129
Let r = -322 - -314. What is the remainder when (3 + -2)/(r + 4689/585) is divided by 15?
5
Let z(s) = s**3 + 3. Let g(i) = 41*i - 36*i + i**2 + i**3 + 4 + 0*i**2 + 4*i**2. Let x be g(-4). What is the remainder when 4 is divided by z(x)?
1
Suppose -4*a + 304 = 60. Let y(x) = -2*x + 9. Let m be y(-5). Let h = m - 12. Calculate the remainder when a is divided by h.
5
What is the remainder when 2110/633*((-61)/(-5) + -2) is divided by 12?
10
Suppose -26*j + 27*j - 4*n - 243 = 0, -5*j + 1230 = -5*n. Let m = 268 - j. What is the remainder when 186 is divided by m?
18
Suppose -3674*u = -3668*u - 618. Calculate the remainder when u is divided by ((-3)/(-6))/(5/310).
10
Let x(t) = -t**2 + 9*t - 3. Let l be x(8). Suppose 2 + 9 = -2*z + l*w, 56 = -5*z + 3*w. Let j = 9 - z. Calculate the remainder when 40 is divided by j.
18
Let q(r) = -97*r - 28. Suppose -9*d = -4*d - 15, -5*o + d = -42. What is the remainder when q(-2) is divided by o?
4
Let n(s) = s**2 - 24*s - 47. Let q be n(26). Let h be (-52)/(-6)*((-45)/(-6))/q. What is the remainder when 56/12*(-1 + h) is divided by 12?
8
Let g be 1/(9/(-84))*(-1 + 4). Calculate the remainder when 247 is divided by ((-66)/44)/(1/g).
37
Let i(f) = -2*f**3 - 10*f**2 + 2*f + 31. What is the remainder when 62 is divided by i(-5)?
20
Suppose 2*g + q + q - 16 = 0, -36 = -5*g - 4*q. Suppose g*i = -70 - 154. Let w = i + 84. What is the remainder when 137 is divided by w?
25
Suppose -37*v + 3*t = -32*v - 1664, -1332 = -4*v + 2*t. Calculate the remainder when v is divided by 71.
50
Let j be (-290)/2*(41 + -47). Suppose 0*k + j = 15*k. Calculate the remainder when k is divided by 20.
18
Suppose a - 36 = -m - 0*m, 4*m = -a + 153. Suppose 4*v - 6072 = -40*v. Calculate the remainder when v is divided by m.
21
Let s = -132 - -88. Calculate the remainder when (0 - -73)/(-43 - s) is divided by 7.
3
Let d(c) = 2*c**2 - 119*c - 1772. What is the remainder when d(75) is divided by 22?
3
Let o = 20 - 4. Suppose 0 = -5*c + 4*d + 85, 0 = 4*c - 0*d - 3*d - 67. Let p = c + -10. What is the remainder when o is divided by p?
1
Suppose -109 = -25*m + 3141. Let q = -70 + m. Calculate the remainder when 174 is divided by q.
54
Let l = -117 - -63. What is the remainder when (6/9)/((-4)/(-354)) is divided by (-1122)/l + 2/9?
17
Suppose -62 = -11*l + 136. Let j(m) = -m**3 - 7*m**2 - 3*m + 4. Let z be j(-7). Suppose -5*f + z = -0*f. Calculate the remainder when l is divided by f.
3
Suppose -32*k = 9*b - 33*k - 565, -86 = -b - 2*k. Let c = -56 - -19. Let i = -3 - c. Calculate the remainder when b is divided by i.
30
Let g = 36 - 29. Suppose 5 = 2*o - d, 2*o + d - g = 4*d. Suppose -18 = -o*n + 3*h, -2*h - h - 6 = 0. What is the remainder when 35 is divided by n?
5
Let u be (1 + 26/(-6))/((-16)/2544). Let q = u + -410. Calculate the remainder when q is divided by 31.
27
What is the remainder when 10/15*(-24)/(-32)*(7630 + -2) is divided by 67?
62
Suppose -180 = -3*s + 3*u, 443 = 5*s - 3*u + 145. Suppose 0 = -a - 3*a - 12, 2*n = 5*a + s. Calculat