 = -d - m. What is the remainder when d is divided by n?
3
Let d be ((-49)/(-21) - (-2)/(-6)) + 1. Suppose d*c = -3*w + 627, 2*c - 13 = -19. What is the remainder when w is divided by 24?
20
Suppose 3*t - 47 = -3*j + 2*t, -3*j = 5*t - 67. Let b = 321 + -170. Calculate the remainder when b is divided by j.
11
Suppose -45*m - 657 + 1332 = 0. What is the remainder when 235 is divided by m?
10
Let g = -821 - -887. Suppose 7*c + 45 = g. What is the remainder when (0 - -2 - 1) + 9 is divided by c?
1
Let b = -2495 + 2533. What is the remainder when 95 is divided by b?
19
Let t(i) = 5*i**3 - 54*i**2 + 42*i - 9. What is the remainder when 138 is divided by t(10)?
6
Suppose 3*d + 915 = -4*p + 9*p, -915 = -5*p + d. Let f = 116 - 18. What is the remainder when p is divided by (-318)/(-7) - (-56)/f?
45
Let t(p) = -2*p**2 + 4. Let g be t(0). Suppose -g*s = -92 - 16. Calculate the remainder when 114 is divided by s.
6
Suppose 3*z - 426 = -153. Calculate the remainder when z is divided by ((-95)/(-35))/(8/56).
15
Let o(f) = 1 + 9*f**3 + 1 - 2*f**2 + 0 + f. Let l(m) = -5*m**3 - 7*m**2 - 6*m - 10. Calculate the remainder when o(2) is divided by l(-2).
12
Suppose 2*w - 4 = 22. Let y be (12 - -1) + (-3 - 3). What is the remainder when w is divided by ((-161)/(-3))/y - (-4)/(-6)?
6
Let h(p) = -p**3 + p**2 + 4*p - 1. Let u(w) = -2*w - 7. Let q(k) = k + 8. Let m(r) = 2*q(r) + 3*u(r). Calculate the remainder when m(-2) is divided by h(-2).
0
Suppose 7*c - 79 = 6*c - 0*c. What is the remainder when 868 is divided by c?
78
Let b = -25 + 111. Let c = 3104 - 3081. Calculate the remainder when b is divided by c.
17
Let o = -171 - -201. Suppose -13*n + 11*n + o = 0. What is the remainder when n is divided by 6?
3
Let s be 8/6 + 8413/141. Suppose 0 = x + 3*m - s, m = 4*x + 5*m - 276. Calculate the remainder when x is divided by 15.
13
Suppose 0 = -2*q + 5*s + 2131, s = 4*s - 15. Suppose -q*t + 1086*t = 528. Calculate the remainder when t is divided by 8.
2
What is the remainder when 783 is divided by (-19 + 20)/(83/(-28) - -3)?
27
Let f = 10782 + -9999. Calculate the remainder when f is divided by 377.
29
Let r = 48 - 60. Suppose 3*p + 4 = p, 5*t - 3*p - 121 = 0. Calculate the remainder when t is divided by (9/6)/((-3)/r).
5
Suppose -34 = -2*t + 5*i, -t = 22*i - 20*i - 8. Calculate the remainder when 94 is divided by t.
10
Let k(w) = 4*w - 33. Let j be k(10). Suppose -2*x - 40 = -j*x. Suppose 0 = -2*n + 26 + 20. Calculate the remainder when n is divided by x.
7
Suppose 0 = -q + c + 12, 0 = 2*q + 2*q + c - 28. Suppose 3*y + 5*h + 26 = 0, 0*h + q = -2*y - h. What is the remainder when (-564)/18*3/y is divided by 17?
13
Let m be 0 + (-3 + 0 - -4). Suppose 0 = 4*b + 5*s - 41, -4*s = -2*b + 13 + m. Calculate the remainder when 27 is divided by (-7)/(-1*3/b*3).
6
Let n(m) = -m**2 + 18*m - 14. What is the remainder when 1213 is divided by n(6)?
53
Suppose 5*c - 5*i - 80 = 0, 16*c - i = 19*c - 48. What is the remainder when 3343 is divided by c?
15
Let v be (-189)/(-35) + -5 + (-92)/5. Let o = v + 150. What is the remainder when o is divided by (-134)/(-3) + (-1)/(-3)?
42
Suppose 22 = 5*y - x - x, -y = 4*x. Suppose -4*o = y*a - 2*o - 306, -4*o = 5*a - 381. Calculate the remainder when 382 is divided by a.
74
Let y(b) = b**3 + b**2 + 3*b - 5. Let x be y(-5). Let c = -70 - x. Let o = -2808 + 2834. Calculate the remainder when c is divided by o.
24
Suppose -2*n + 6 = -4, 2*b - 3*n - 7 = 0. Calculate the remainder when 1221 is divided by b.
0
Calculate the remainder when 3189 is divided by (-224)/(-4) - (-5 - 5 - -11).
54
Suppose -69*m = -75*m + 72. Let k(i) = 2*i**2 + 9*i - 14. What is the remainder when k(-7) is divided by m?
9
Suppose -i + 8 = 3*j - 295, -5*j - 1263 = -4*i. Let r = -194 + i. Calculate the remainder when 584 is divided by r.
112
Suppose -z - 85 = -2*t, -5*t + 209 = 267*z - 270*z. What is the remainder when 2028 is divided by t?
4
Let c(a) be the first derivative of 49*a**2/2 - 8*a - 15. What is the remainder when c(2) is divided by 47?
43
Let r be (-46)/(-4) - 2/4. Suppose r*x - 48 = 8*x. Suppose 5*g + x = 4*p - 88, 2*p - g - 58 = 0. What is the remainder when 89 is divided by p?
27
Let p(h) = -h**2 + 149*h + 2901. Calculate the remainder when 935 is divided by p(-17).
66
Suppose k - 303 = -0*k. Suppose o = 3*n - 238, -5*n - 149*o = -146*o - 364. What is the remainder when k is divided by n?
72
Suppose 218*t - 36 = 215*t. Let p(i) = i**3 + i**2 - 13*i - 14. Calculate the remainder when t is divided by p(-3).
5
Let f(j) = -2*j + 19. Let w(k) = -k**3 - 16*k**2 - 62*k + 16. What is the remainder when f(-10) is divided by w(-9)?
4
Let d be (-11)/((-44)/(-72)) + 0/(-4). Let r = -17 - d. What is the remainder when 995/20 + r/4 is divided by 17?
16
Suppose -3*o = -0*o - 9. Suppose h + 2 = 6, 5*x = o*h + 88. Calculate the remainder when (-31 - 26892/(-900))*-50 is divided by x.
16
Let m(f) = 6 + 2 - 9 - 2*f - 10. Let c(u) = u**2 - 22*u - 16. Let k be c(22). Calculate the remainder when 82 is divided by m(k).
19
Suppose 3*h + 0*h - 2583 = -4*h. Suppose -6*x + x = -60. Calculate the remainder when h is divided by x.
9
Suppose 3*i + 666 = -3*x, 3*i + 799 = -4*x + 133. What is the remainder when 123 is divided by (-8)/(-364)*13 + i/(-7)?
27
Suppose z = 2*t + 85, z + 2*z - 253 = 5*t. Suppose -v - 4*s = -3*v + 48, -4*v + z = -3*s. Suppose 24 - 4 = 2*b. Calculate the remainder when v is divided by b.
8
Suppose 51*k + 105*k - 6644 = 5*k. Suppose -4*f = -0*f - 1568. Calculate the remainder when f is divided by k.
40
Let k(s) = s**2 - 31*s - 5392. What is the remainder when 2717 is divided by k(91)?
65
Suppose -2*h = -h + 1. Calculate the remainder when ((-645)/30)/((4/24)/(3/(-9))) is divided by (-2 - -1)*h*11.
10
Let o(s) = s**3 + 4*s**2 - 28*s + 9. Let u be o(6). Let h = -196 + u. Calculate the remainder when 7 is divided by h.
2
Calculate the remainder when 14/(-4) + 1/(10/24305) + 1 is divided by 44.
8
Let r(i) = 2*i**3 + i**2 + 2*i - 9. Let u be r(2). Suppose -70*c = -o - 65*c + u, 3*o - 2*c - 71 = 0. Calculate the remainder when 70 is divided by o.
20
Let s(d) = -d**3 + 7*d**2 + 9*d - 18. Let y be s(7). Suppose -2*m - 4*c + 52 = 0, m = -4*c + y - 11. What is the remainder when 50 is divided by m?
14
Suppose 4*n = 3*l - 556, 5*l - 2*n - 919 = -3*n. Let f = -372 + 288. Let t = f + 115. What is the remainder when l is divided by t?
29
Suppose 0 = -2*x + 5*z + 2034, -2*z + 22 - 26 = 0. What is the remainder when x is divided by 73?
63
Suppose 2661 = -32*i - 507. Let f = 113 + i. Let m(t) = 16*t + 3. What is the remainder when m(5) is divided by f?
13
Let k(h) = -21*h + 2. Let v be k(-10). Let s = -147 + v. What is the remainder when s is divided by 22?
21
Let j(y) = 3*y + 38 - 5*y + 2*y + 3*y. Let t be j(-12). Suppose 0 = -t*r + 3*p - 6*p + 39, -5*p - 45 = -4*r. What is the remainder when r is divided by 4?
3
Let f be ((-75)/10)/(-15) + 9/2. Suppose c = -f*z + 73, 0 = 4*c + c + 10. What is the remainder when 115 is divided by z?
10
Suppose 144*a - 7 = 145*a, -2*h = 3*h + 3*a - 109. Suppose 4*s - 2179 = -u, -5*s + 5*u + 4445 = 1740. What is the remainder when s is divided by h?
24
Let d(o) be the second derivative of o**4/3 + 35*o**3/6 - 27*o**2/2 - 47*o + 2. What is the remainder when d(-11) is divided by 27?
18
Let b(m) = -56*m - 7. Let t be b(2). Let d = t - -67. Let z = -41 - d. Calculate the remainder when 32 is divided by z.
10
Suppose 0 = 305*n + 32053 - 45185 - 47868. What is the remainder when 6598 is divided by n?
198
Let i(y) = -y**2 - 23*y + 276. What is the remainder when 669 is divided by i(8)?
25
Suppose 0 = -4*x + b + 77, x - 3*b + 25 = 47. What is the remainder when 115 is divided by x?
1
Suppose 2*t - 1 = m - 2*t, 4*m - 5*t + 15 = 0. Calculate the remainder when 4 - -1*(-2 - m) is divided by (-13 - 0) + 4214/301.
0
Let r(u) = 6*u**3 - 7*u**2 - 12*u + 49. Let s(k) = -k**3 - k**2 - k - 3. Let a(l) = -r(l) - 5*s(l). Calculate the remainder when a(13) is divided by 13.
5
Let n = 716 + -675. Calculate the remainder when 1761 is divided by n.
39
Suppose 686*u = 690*u, -4*u + 36 = 2*x. Calculate the remainder when 12580 is divided by x.
16
Suppose 0 = 7*y - 49 - 35. Suppose -2*a + y = 5*h, -2*h - 3*a + 6 = -a. Suppose -h*w + 122 + 92 = 0. What is the remainder when w