s the remainder when 27 is divided by d?
3
Let p(y) = -2*y**3 - 2*y**2 - 3*y - 1. Let w be p(-1). Suppose 2*m = 5*t - 1, 0*m - 2*t = -m + w. What is the remainder when 35 is divided by m?
11
Suppose 41*m - 599 = 221. Calculate the remainder when 42 is divided by m.
2
Let x be 0/(-18) - (-171 + -2). Let h = 35 + x. What is the remainder when h is divided by 19?
18
Let v(m) = -2*m - 18. Let g be v(-11). Suppose 2*x + 9 = 5*x. Suppose -x*y = b + g*b - 428, 0 = -b + y + 92. What is the remainder when b is divided by 18?
16
Let f = -15 - -19. Suppose -5*u = f*g - 339, 4*u = -2*g - u + 177. What is the remainder when g is divided by 26?
3
Let x(c) = -c**3 + 8*c**2 - 14*c + 12. Let i be x(6). Suppose 3*z + 0*a - 245 = 2*a, i = -2*z + 3*a + 170. What is the remainder when z is divided by 20?
19
Let r(a) be the first derivative of -a**2 + 4*a - 3. Let u be r(-3). Suppose -2*i + u = -14. Calculate the remainder when 23 is divided by i.
11
Let q = 10 + 113. Calculate the remainder when q is divided by 14.
11
Let h(o) = o**3 - 3*o**2 + 2*o - 1. Let i be h(3). Suppose -192 = -i*a - 2. What is the remainder when a is divided by 5?
3
Let f(q) = 2*q. Let c(v) = -v + 13. Let n be c(11). Suppose -4*k = -2*i + n, 2 = k - 1. What is the remainder when f(i) is divided by 8?
6
Suppose 3*v + 9 = a, -3*a + 2*v + 16 = a. Suppose -3*b + 6*b - 179 = q, 5*b = -a*q + 275. Calculate the remainder when b is divided by 21.
16
Let s(c) = -c + 25. Calculate the remainder when 199 is divided by s(15).
9
Suppose 3*o - 8*o - 2*q + 1334 = 0, -262 = -o - 2*q. Calculate the remainder when o is divided by 15.
13
Calculate the remainder when (-15 - 3)/(2/(-66)) is divided by 119.
118
Let i = -12 - 26. Let y = -32 - i. Calculate the remainder when 35 is divided by y.
5
Suppose -78 = 73*a - 76*a. What is the remainder when 127 is divided by a?
23
Let q(g) be the third derivative of -g**4/6 + 7*g**3/6 - 5*g**2. Let h be q(-3). Suppose 4*k - 25 = h. Calculate the remainder when k is divided by 3.
2
What is the remainder when 180 is divided by 4/(-1 - (-138)/42 - 2)?
12
Let c be 0 + 6 + -2 + (-75)/5. Let d = 6 + -12. Let i = d - c. Calculate the remainder when 15 is divided by i.
0
Let b(q) = -2*q**3 - 7*q**2 + q - 7. Suppose 0 = -11*h + 90 + 31. What is the remainder when b(-5) is divided by h?
8
Let r = -109 + 138. Let z = 129 - r. What is the remainder when z is divided by 52?
48
Suppose -4*k + 80 = i, -3*k + 32 = -3*i - 13. Calculate the remainder when k is divided by 17.
2
Let z be (75/(-10))/((-2)/68). Suppose -5*t - 2*g + 434 = 0, -2*t + 5*t - z = -3*g. Suppose -71 = -3*f + t. What is the remainder when f is divided by 11?
9
Suppose -1 + 7 = 2*g. Suppose z + 5 + 57 = g*j, 98 = 5*j + z. Suppose 0 = -30*k + 31*k - 77. What is the remainder when k is divided by j?
17
Suppose -6*l = -2*h - l + 285, -5*l - 135 = -h. What is the remainder when h is divided by 7?
3
Let b = 535 + -505. What is the remainder when b is divided by 6 - (2 + 0 + 0)?
2
Suppose 16*c = 11*c + 45. Let h be 0/c*(-2)/4. Suppose -2*z + 39 = -5*w, 4*z + 3*w + h*w = 39. What is the remainder when 21 is divided by z?
9
Let f(c) = 6*c**2 + 17*c - 47. Calculate the remainder when f(4) is divided by 98.
19
What is the remainder when 3004/16 - (-11)/44 is divided by 39?
32
Let q = 87 + -16. What is the remainder when q is divided by 12?
11
Let r(l) = l + 11. Suppose 5*b - 100 = 4*q, -b = -0*q - 5*q - 41. Suppose 0 = y + y + b. What is the remainder when 4 is divided by r(y)?
1
Let b(i) = 2*i**2 + 3*i - 2. What is the remainder when 53 is divided by b(-3)?
4
Suppose q - 5*r - 84 = 0, -3*r + 268 = 4*q - 6*r. Suppose -q = -3*g + 8. Let s(u) = u**3 + 8*u**2 - 3*u + 1. Calculate the remainder when s(-7) is divided by g.
23
Let g(a) = 3*a**2 + 2. Suppose -14*j = -113 - 13. What is the remainder when g(2) is divided by j?
5
Suppose 3*i - 2 = 52. Let d(b) be the second derivative of b**5/20 + 3*b**4/4 + 5*b**3/6 + 7*b**2/2 - 4*b. What is the remainder when d(-7) is divided by i?
16
Suppose g = -2*g. Let i be -1*(g + 2 + -1). What is the remainder when 41 is divided by 0 - -1 - 13/i?
13
Let w(p) = 4*p**3 - 7*p**2 + 9*p. Let f be w(4). Let i = f + -112. Suppose -i = -g - 3*g. Calculate the remainder when 31 is divided by g.
14
Let s be (3/(-9))/(2/(-36)). Let t be (-3)/(-9) - 2/s. Suppose t = -3*p + 3*u + 8 + 85, 47 = p + 3*u. Calculate the remainder when p is divided by 12.
11
Suppose -997*d = -998*d + 22. What is the remainder when 238 is divided by d?
18
Suppose 0 = -x - 74 - 16. Let k = 0 - x. Calculate the remainder when k is divided by 24.
18
Let l = -1344 - -1380. Calculate the remainder when 348 is divided by l.
24
Suppose -2*l + m = -0*m - 63, 4*l + 3*m = 131. Suppose 3*b + g - l = -3, -5*b + 48 = 2*g. What is the remainder when 28 is divided by b?
8
Let m(o) = -o**2 + 10*o + 18. Let d be m(11). Suppose -11*f = -d*f - 40. Calculate the remainder when 47 is divided by f.
7
Let q = 28 + -14. Let k be (-486)/(-5) - (-120)/(-100). Suppose 0*t + 3*t + g = 74, 4*g - k = -4*t. What is the remainder when t is divided by q?
11
Let v be ((-2980)/15)/((-4)/6). Let l = -141 + v. What is the remainder when l is divided by 32?
29
Let b be 2/(6/57) - (-1 - -5). Suppose 2*j + 5*v - b = 15, -46 = -5*j + 2*v. What is the remainder when j is divided by 6?
4
Let n(w) = 32*w. Let l = -490 + 515. What is the remainder when n(3) is divided by l?
21
Let n = 68 + -62. What is the remainder when 22 is divided by n?
4
Let k = 758 - 714. Calculate the remainder when 1185 is divided by k.
41
Suppose 0 = 4*r - 4*o - 160, 4*r - 2*o = 106 + 52. Let a = r - 4. Calculate the remainder when a is divided by 18.
17
Let c(q) = 2*q**2 + 3*q - 10. Let j be c(3). What is the remainder when 46 is divided by 102/j + 0 + 1?
4
Let d(l) = l**3 - 12*l**2 - 21*l - 12. Suppose -7 - 7 = -u. Calculate the remainder when d(u) is divided by 29.
28
What is the remainder when ((-824)/(-16))/((-1)/(-2)) is divided by 11?
4
Suppose -12*m + 9*m = 0. Suppose m = 2*b + 2*l - 20, -3*b + 20 = 2*l - 6. Calculate the remainder when b is divided by 4.
2
Let o(b) be the third derivative of -b**6/120 + 7*b**5/30 + 2*b**4/3 - 5*b**3/6 + b**2 - 20. Calculate the remainder when 78 is divided by o(15).
8
Let d = -5 + 16. What is the remainder when 1 + (32 - 1) + -2 is divided by d?
8
Let s = -469 - -1153. What is the remainder when s is divided by 49?
47
Suppose 43*r + 21 - 494 = 0. What is the remainder when 19 is divided by r?
8
Let l(p) = -2*p**2 - 29*p + 31. What is the remainder when l(-13) is divided by 24?
22
Let h(z) = 69*z - 127. Calculate the remainder when h(12) is divided by 54.
53
Let x(z) be the third derivative of 0 + 2*z**2 + 0*z - 1/24*z**4 + 2/3*z**3. Calculate the remainder when 11 is divided by x(-3).
4
Let b(c) = 43*c**3 + 3*c**2 + 2*c + 2. Let j be b(-3). Let h be j/(-14) - (-4)/(-14). Let n = h - 43. Calculate the remainder when n is divided by 13.
12
Let d(h) = 3*h**2 + h**3 - 2*h**2 + 4 + 2 - 4. Let x be d(0). Calculate the remainder when x/(-5) + 411/15 is divided by 7.
6
Let r = 28 + -31. Let y be 0/2 - (-8 - r). Suppose -3*n - 27 = -w - y*n, -4*w - n + 80 = 0. Calculate the remainder when w is divided by 5.
4
Let a(c) = c**3 + 9*c**2 - 4*c + 1. Let z be a(-6). Let k = z + -72. Calculate the remainder when k is divided by 16.
13
Suppose 7*k = 6*k + 31. Suppose -k - 32 = -3*d. Let l = 74 - d. Calculate the remainder when l is divided by 14.
11
Suppose 830 = 6*w + 44. Calculate the remainder when w is divided by 25.
6
Let m be (-3157)/(-28) - 2/(-8). Let j(r) = -6*r + r**2 + 7*r + r**2 - m*r**3. What is the remainder when j(-1) is divided by 29?
27
Let y(g) = g**3 - 4*g**2 + 14*g - 11. Suppose -x = x - 10. Calculate the remainder when y(x) is divided by 17.
16
What is the remainder when ((-4)/6)/(10/(-885)) is divided by 39?
20
Let v be -320*2/5*7/(-7). What is the remainder when 166 is divided by ((-3)/4)/((-8)/v)?
10
Let t = -46 - -65. Suppose 2*y + 20 = 4*y. Suppose 3*f = 2*f + y. What is the remainder when t is divided by f?
9
Let z = 205 + -187. Calculate the remainder when 188 is divided by z.
8
Suppose -5*b - 4*j + 85 = 0, 3*b - 4*b - 5*j = 4. Calculate the remainder when 11 is divided by 36/b*1/2*7.
5
Suppose -a + 5*a + 2*z + 92 = 0, 0 = 4*z. Let d = a + 20. 