t d(t) = 108*t - 1. Let c be d(1). Let q = 203 - c. Calculate the remainder when q is divided by 11.
8
Let v be -3 + 0 + (3 - -459). Let p be (-3 - v/6)*2. What is the remainder when -2 + p/(-9)*3 is divided by 18?
15
Suppose -4*l + 3*l + 4*p = -3, -l = 4*p - 19. Let g(w) = w**3 + 30*w**2 - 2*w - 29. What is the remainder when g(-30) is divided by l?
9
Let t(c) = -c**2 + 6*c + 1. Calculate the remainder when (-18)/4*((-1014)/(-9))/(-13) is divided by t(3).
9
Let v(r) = r**3 + 8*r**2 - 3*r - 7. Let o be v(-7). Suppose 4*q - y = 2*y + o, 2*q - 5*y = 35. Calculate the remainder when 59 is divided by q.
14
Let f(v) = -v**3 - 11*v**2 + 12*v - 15. Let j be f(-12). What is the remainder when 41 is divided by 364/35 - 9/j?
8
Suppose 464 = -8*l - 336. Calculate the remainder when l/3*((-15)/(-6) + -4) is divided by 17.
16
Suppose 25*f = 14*f. Suppose s = -0*y + 2*y + 22, f = -3*y. What is the remainder when 42 is divided by s?
20
What is the remainder when 289 is divided by (-4)/(-52) - (-18547)/221?
37
Suppose -54*t = -134*t + 6320. What is the remainder when t is divided by 16?
15
Suppose 28*w + 585 = 37*w. Calculate the remainder when w is divided by 34.
31
What is the remainder when 105*-6*3/(-6) is divided by 25?
15
Suppose 5*s + 1005 = 5*t, 2*s = -3 - 5. Calculate the remainder when t is divided by 18.
17
Let v(f) = f**2 - 88*f + 260. Let j(p) = p**2 - 2*p - 4. Let y be j(3). Calculate the remainder when 9 - 2 - 1*y is divided by v(85).
3
Let l(g) = -g**3 + 9*g**2 - 8*g + 19. Calculate the remainder when 47 is divided by l(8).
9
Let h = 6 + -12. Let s be 3/((h/(-4))/3). What is the remainder when 83 is divided by 130/s - 2/3?
20
Suppose -2*l - l + 13 = 5*f, -l - 3 = -2*f. Let y(a) = -l + 2*a + 0*a - 1 + 3 - 5*a**3. What is the remainder when y(-1) is divided by 2?
0
Let n be ((-15)/2)/((-2)/4). Let x = n + 5. What is the remainder when 38 is divided by x?
18
Let t(a) = -a**3 + 9*a**2 - 11*a + 4. What is the remainder when 118 is divided by t(4)?
38
Let h(z) = 5*z**2 - 10*z + 3. What is the remainder when 249 is divided by h(4)?
34
Suppose p - 2*n - 1 = -4, 3*p + 9 = -2*n. What is the remainder when 6 is divided by p/1 - ((-2 - 0) + -4)?
0
Let i = 217 - 173. Suppose 2*b = 4*f - 108, 0*f - 120 = -4*f + 5*b. Calculate the remainder when i is divided by f.
19
Suppose 2*m - 3*m = 5*c - 14, 0 = -4*c + m + 4. Let w = 199 - 195. What is the remainder when w is divided by c?
0
What is the remainder when (-32)/(-48) + (-5098)/(-3) is divided by 46?
44
Suppose -40*v + 132 + 148 = 0. What is the remainder when 32 is divided by v?
4
Suppose 82 = 4*g + 50. Let d(q) = -q + 11. What is the remainder when 11 is divided by d(g)?
2
Suppose 5*u + 0 = 5. What is the remainder when 2*(-147)/(-6)*u is divided by 17?
15
Let v(r) = -2*r**2 - r - 1. Let p(s) be the first derivative of -s**3/3 + 1. Let m(y) = -6*p(y) - v(y). Calculate the remainder when 37 is divided by m(-1).
5
Let g = 129 - 67. Calculate the remainder when g is divided by (24/(-14))/(12/42) - -38.
30
Let h = -8 + 5. Let z be (0 + 1)*h - -7. Suppose 3*i + 0*d - 66 = -3*d, z*d = 8. What is the remainder when 59 is divided by i?
19
Suppose -2*i + 1 = 4*h - 1, 0 = -i + 3*h + 21. Suppose -4*a = -24, 39 + 8 = 5*w + 2*a. What is the remainder when i is divided by w?
2
Let p(d) = d**3 - 6*d**2 + 5*d + 3. Let s = 14 - 9. Let n(h) = 2*h**2 - 3*h - 5. Calculate the remainder when n(-2) is divided by p(s).
0
Suppose 5*c = -0*c + 465. Suppose c = 2*o - 9. What is the remainder when o is divided by 18?
15
Suppose -41*r + 672 = 139. What is the remainder when 71 is divided by r?
6
Let r(n) = 3*n**3 + n**2 - n - 1. Let s be (-66)/(-4)*(-192)/(-72). Suppose -332 = -6*t - s. Calculate the remainder when t is divided by r(2).
23
Let d(k) be the third derivative of k**5/60 + k**4/8 - 2*k**3/3 - 7*k**2. Calculate the remainder when 11 is divided by d(-5).
5
Let g = 37 - 37. Let a(i) = i**2 + i + 84. What is the remainder when a(g) is divided by 29?
26
Let q be (32/(-56))/((-2)/7). Suppose 2*y - 2*b - 2*b = 18, -y - q*b = 3. What is the remainder when 73/y - (-6)/9 is divided by 13?
12
Let x = 145 - 134. What is the remainder when x is divided by 10?
1
Suppose 191 = 2*c - 133. Let d = c + -145. What is the remainder when 115 is divided by d?
13
Suppose -5*d + 28 - 3 = 0. Let p be (-16)/80 + (-19)/d. What is the remainder when 18 is divided by (-2)/p + (-19)/(-2)?
8
Suppose 9 - 3 = 3*x. Let h(l) be the first derivative of -l**2 - 6. Calculate the remainder when h(-4) is divided by x.
0
Let b(a) = 56*a + 11. Let p(r) = -4*r - 61. Calculate the remainder when b(1) is divided by p(-20).
10
Suppose -61 = 6*x + 11. Calculate the remainder when ((-4)/x)/((-1)/(-6)) is divided by 1.
0
Suppose 13*p = 4*p + 171. What is the remainder when 125 is divided by p?
11
Let u(t) = 20*t**2 - 55*t - 113. What is the remainder when 199 is divided by u(-2)?
45
Suppose 3*t = a - 2*t - 21, 0 = -3*t - 6. Let d = a + 20. Suppose 2*f - 2 = 14. Calculate the remainder when d is divided by f.
7
Suppose 2*y - 18 = -24. Let q(v) = -2*v**3 + v**2 + 8*v + 2. Calculate the remainder when q(y) is divided by 11.
8
Calculate the remainder when (33450/(-12))/(-25) - (-3)/(-2) is divided by 40.
30
Suppose 679 = 35*d - 616. What is the remainder when 181 is divided by d?
33
Suppose 0 = -3*i - 9, -j = -5*i - 12 - 9. Suppose -j*a = 5*a - 154. Calculate the remainder when 27 is divided by a.
13
Suppose 2*u - 2*w = 24, 2*u - 3*w = 24 - 4. Calculate the remainder when 40 is divided by u.
8
Suppose -5*c + 4*t = t + 2, 5*c + 7 = -2*t. Suppose -5*d - 24 = d. What is the remainder when 13 is divided by d/c*15/12?
3
Let s = -370 + 469. Calculate the remainder when s is divided by 21.
15
Suppose 3*q - 2*q - 5*u = 41, u + 37 = 2*q. Calculate the remainder when 28 is divided by q.
12
Suppose -3*x - 5*s + 21 = 0, -2*x - 2*s + s = -14. Suppose -k + 35 - x = 0. What is the remainder when k is divided by 6?
4
Let s = -37 - -22. Let r = 21 + s. Suppose 4*o = -2*a + 78, 5*o + 0*a = -4*a + 90. What is the remainder when o is divided by r?
4
Suppose 4*o - 44 = 2*z, -5*z - 7 - 4 = -o. Calculate the remainder when (405/(-108))/(3/(-52)) is divided by o.
10
Suppose -257*k + 252*k = 3*j - 44, -31 = -4*k - 3*j. Calculate the remainder when 0 + 0 + 12*3 is divided by k.
10
Let y = -496 - -507. Calculate the remainder when (-1 - 1*-41) + 2 is divided by y.
9
Let u(m) = -8*m. Let t be u(-4). Let l = t + -23. Suppose -120 = -5*d - b, 49 = -5*d + 5*b + 169. What is the remainder when d is divided by l?
6
Suppose 2*j - 33 = -s, -4*s + 3*j - 29 = -183. Let y(g) = g**2 - g. What is the remainder when s is divided by y(-4)?
17
Suppose -53*g - 750 + 2499 = 0. Calculate the remainder when 102 is divided by g.
3
What is the remainder when 4*10/15*450/8 is divided by 27?
15
Let w be (8/(-14))/((-4)/14). Calculate the remainder when w/(8/141) - (-2)/(-8) is divided by 19.
16
Suppose 5454 = 25*z - 4146. Calculate the remainder when z is divided by 55.
54
Let c = 210 - 210. Suppose 3*a - 32 = 7. Suppose -5*g + 15 = c, -2*g - a = -5*y + 11. What is the remainder when 22 is divided by y?
4
Suppose 7 = -2*n + 95. Calculate the remainder when 127 is divided by n.
39
Let m be ((-3)/(-4))/(3/960*4). Suppose 5*v - m = -4*u, u = 4*v - 2*v + 28. Let n = -17 - -28. What is the remainder when u is divided by n?
9
Suppose 3*d = -z + 42, 5*z = -5*d + 22 + 38. Calculate the remainder when 72 is divided by d.
12
Let w(n) = 71*n**2 + n - 1. Let y = -5 + 6. Suppose -13*u + 17*u - 96 = 0. What is the remainder when w(y) is divided by u?
23
Let x = -428 - -438. Calculate the remainder when 118 is divided by x.
8
Let y(p) = -p**2 + 11*p - 11. Suppose -b = -2*n - 7, 19 = 5*b - 3*b - 5*n. Let j be b/(1/8*-3). Calculate the remainder when y(j) is divided by 7.
6
Suppose 0 = -5*w - 16 + 56. Let n = 212 + -170. Suppose -6*r = -w*r + n. Calculate the remainder when r is divided by 12.
9
Let i(f) = f**3 + 9*f**2 + 10*f + 15. Let l be i(-7). Let s = l + -26. Calculate the remainder when s is divided by 9.
8
Let p(v) = 59*v - 31. What is the remainder when p(6) is divided by 42?
29
Suppose a + 58 - 67 = 0. What is the remainder when 47 is divided by a?
2
Suppose 0*n + 2 = -2*n. Let x(r) = -13*r**2 - r + 6. Let c(t) = 1. Let k(p) 