. Suppose -7*a + v*a = -m. Calculate the remainder when 5 is divided by a.
1
Let i(t) = 3*t**2 - 3*t - 4. Let h be i(6). Let q be (6 - (-3 + 2)) + 107 + -38. Let z = h + q. Calculate the remainder when z is divided by 41.
39
Suppose -32*s + 40*s - 1035 = 413. What is the remainder when 1816 is divided by s?
6
Suppose 8*d - 1819 = -99*d. Calculate the remainder when (-85 + (-4)/(-2))/(-1) is divided by d.
15
Suppose -j + 499 - 22 = 5*n, 4*n - 372 = 4*j. Let d = n + -69. What is the remainder when d is divided by (-1)/(-2 - -1)*7?
5
Suppose 0 = -15*b + 1032 + 636 - 303. Calculate the remainder when 1172 is divided by b.
80
Let u(m) = -8*m - 76. Let p be u(-10). Suppose a + 4 = 0, p*v + 89 = 5*v - 3*a. Suppose 16 = 2*x - 16. What is the remainder when v is divided by x?
13
Suppose 7*w = -9*w - 64. Let t be 2 - (2 - 1)/1. What is the remainder when w/4*(t + -27) is divided by 14?
12
What is the remainder when (-2486)/(-6 - 5) - -15 is divided by 77?
10
Let l = -2 - -5. Calculate the remainder when 84/((l/6)/((-8)/(-24))) is divided by 12.
8
Let v = 17095 + -16782. What is the remainder when v is divided by 4?
1
Let w(v) = -v**3 + 12*v**2 - 17*v + 42. Let o be w(12). Let j = o - -167. Suppose -13 = 2*s - 3*s. Calculate the remainder when s is divided by j.
3
Let p = 3087 + -2785. What is the remainder when p is divided by 38?
36
Suppose 115 + 553 = -2*q. Calculate the remainder when 170 is divided by q/(-6) - 80/120.
5
Let b(p) = 53*p**2 + 70*p + 199. Calculate the remainder when 1884 is divided by b(-3).
20
Let s(b) = b + 7. Suppose -5*y + 16 = -2*z, -3*z + 7 = -6*z - y. Let o be s(z). Calculate the remainder when 4/(o*3/(-6)) - -71 is divided by 10.
9
Let z = 53 - 47. Let x be z/(-9) + 860/12 + 2. Let o = x + -40. Calculate the remainder when o is divided by 5.
3
Let m(k) = -4*k + 1. Let r be m(-32). Suppose -a = -2*s - 317, s - a - 154 = 2*s. Let h = r - s. What is the remainder when h is divided by 41?
40
Let l(d) = d**2 + 29*d - 281. Let x = -189 + 237. Calculate the remainder when l(9) is divided by x.
13
Suppose 3*o = -4*i + 31, 0 = 4*i + 4*o + 97 - 129. Calculate the remainder when 296 is divided by i.
2
Let x(o) = -o**2 + 7*o. Let g be x(6). Suppose 43 = p + 29. Calculate the remainder when (-236)/(-7) - g/(-21) is divided by p.
6
Suppose 0 = -236*i + 190*i + 12512. Calculate the remainder when i is divided by 28.
20
Suppose -q - 3*k + 0*k = -20, 4*k = -2*q + 34. Suppose -n + 80 = 2*u, 10*u + 75 = n + q*u. Calculate the remainder when 769 is divided by n.
69
Let o(l) = 22*l + 1. Let t be 1/2*8 + -3. Let x be 5 + t + 3 + -2. What is the remainder when o(x) is divided by 39?
38
Let u(o) = -2*o**3 + 15*o**2 + 228*o - 24. Calculate the remainder when u(13) is divided by 179.
7
Let h = -116 + 121. Suppose -4*x = -h*m - 223, -3*x - 3*m + 37 + 110 = 0. Calculate the remainder when 84 is divided by x.
32
Let u be ((-4)/8)/((-1)/(-2)). Suppose 2*w - 4*a + 20 = 6, 0 = 3*w - 4*a + 17. Calculate the remainder when ((-9)/w + -123)*u/2 is divided by 9.
6
Calculate the remainder when ((-2751)/(-14))/((-885)/(-60) - 14) is divided by 121.
20
Suppose 10*j + 48 = 4*j. Let b(n) be the first derivative of n**4/4 + 3*n**3 + 3*n**2 - 4*n - 7. Calculate the remainder when 47 is divided by b(j).
11
Suppose 205 + 80 = 19*l. Let i be ((-24)/(-6))/(-1 + 2). What is the remainder when 2/(4/352*i) is divided by l?
14
Suppose 63 = -183*p + 176*p. Calculate the remainder when p/1 - (3 - 148) is divided by 32.
8
Let f(a) = -20*a - 50. Let l be -6 + (-1 - (4 + -2))*-1. Calculate the remainder when 229 is divided by f(l).
9
Let s = -143 - -152. Let d(f) = f**3 - f**2 - 62*f + 16. Suppose 20 = 5*k, 0*i - i = -5*k + 2. Calculate the remainder when d(s) is divided by i.
16
Let t be (-2)/(-4) + (-78)/4. Let f = -3 - t. Let x = -80 + 189. What is the remainder when x is divided by f?
13
Suppose -3*r + 1 = -2*r, -1355 = -5*t - 5*r. Suppose -27*u = -21*u - t. Calculate the remainder when 177 is divided by u.
42
Suppose -q = -5*w - 0*w + 53, 2*w - 18 = 2*q. What is the remainder when 2306 is divided by w?
7
Let v(a) = -3*a**3 - 11*a**2 + 9*a + 76. Calculate the remainder when v(-5) is divided by 14.
5
What is the remainder when 365 is divided by 860/8 + 3 + -7 + (-117)/(-18)?
35
Suppose -779*b = -776*b + 441. Let o = 151 + b. What is the remainder when 11 is divided by o?
3
Let t = 350 - 312. Let q(s) = -s**3 + 39*s**2 - 29*s - 70. Calculate the remainder when q(t) is divided by 57.
44
Suppose 0 = -4*z - 3*c - 254, z + 3*z + 246 = c. Suppose -3*o + 0*i + 3*i = 9, 3*i - 15 = 5*o. What is the remainder when 65 is divided by z/o + 20/15?
21
Suppose -55 = -2*b - 5*l - 0*l, 65 = 3*b + 4*l. Suppose -10*f + b*f = 230. Suppose 124 = -f*i + 50*i. What is the remainder when 154 is divided by i?
30
Let i(x) = -x - 18. Let b be i(3). Let n(z) = 3*z - 2. Let h be n(6). Let f = h - b. Calculate the remainder when f is divided by 19.
18
Let j be 2362/(-18) - (-14)/63. Let n = j + 131. Suppose -4*q + 2*t + 2*t + 144 = n, -5*q = 4*t - 135. What is the remainder when 116 is divided by q?
23
Let c = 49 - 17. Suppose 28*n - 21*n = -2*k + 287, -2*k - 2*n = -262. Calculate the remainder when k is divided by c.
30
Let w(t) = 12*t + 387. Calculate the remainder when w(-6) is divided by 164.
151
Let w(p) = 9*p - 50. Let q be w(10). Let r(c) = 5*c - 141. What is the remainder when 646 is divided by r(q)?
56
Let c = 203 - 202. Calculate the remainder when 60 - c*(4 + -9) is divided by 23.
19
Let t(k) = k**3 - 10*k**2 - 27*k + 35. Let a be t(12). Calculate the remainder when 110 is divided by a + ((-15)/7)/((-10)/70).
12
Suppose 82*l = 33*l + 196. Let s(j) = j**2 + 3*j**2 - 3*j**2. Calculate the remainder when l is divided by s(2).
0
Suppose -n = -f - 8289, 180*f + 41494 = 5*n + 182*f. Calculate the remainder when n is divided by 9.
7
Suppose -47*g = 85*g - 5731 - 1133. Suppose 0 + 16 = 4*h. Suppose 3*q + 5*n - 17 = 0, -n - h*n = -5*q + 95. Calculate the remainder when g is divided by q.
10
Suppose 0 = -5*l - r + 9745 + 5848, -3*l - 6*r = -9399. What is the remainder when l is divided by 17?
6
Let s = -13676 - -13861. Calculate the remainder when s is divided by 88.
9
Suppose -v - 3*g - 1 = 0, 3*v = 5*g - g - 16. Calculate the remainder when (-3 - -1)*v/(-6)*-6 is divided by 3.
2
Calculate the remainder when 1488 is divided by -3258*38/(-5643) + 4/66.
14
Suppose 2*z = -0*h - 2*h + 12, 0 = -3*h + 4*z + 11. Let b be (h - (-3)/(-1)) + 89. Let m = 152 - b. Calculate the remainder when m is divided by 16.
13
Let h(t) = -t**2 + 29*t + 34. Let m be h(11). Suppose -m = 33*f - 41*f. Calculate the remainder when 42 is divided by f.
13
Suppose -3*v + 2*o = -1717, v - 20*o = -19*o + 570. What is the remainder when v is divided by 63?
10
Let q = 7871 + -3928. Calculate the remainder when q is divided by 34.
33
Suppose -4*h = -7 - 13. Let y(v) = 172*v**2 - 3009*v + 3010. Calculate the remainder when y(1) is divided by h.
3
Suppose 5*h + 0*h + 730 = 5*t, 591 = 4*t + 3*h. What is the remainder when 1171 is divided by t?
142
Suppose -1654*n = -1651*n - 4*p - 335, 0 = -5*n + p + 547. What is the remainder when n is divided by 15?
4
Let y(f) = -f**3 + 31*f**2 - 60*f - 9. Let r be y(29). Let a = 87 + r. Suppose g + 97 = 2*g. Calculate the remainder when g is divided by a.
17
Let p be (20/(-12))/(6/(-342)). Suppose -18*m = -23*m + p. What is the remainder when m is divided by 10?
9
Let r(u) be the third derivative of -u**4/4 + 11*u**3 - 84*u**2. What is the remainder when 68 is divided by r(8)?
14
Let m(p) = -9*p - 121. Let q be m(-13). Let j(a) = -4*a - 6. Let y be j(-6). Calculate the remainder when 161 is divided by 2*y/45*(-205)/q.
38
Suppose 27*y + 63 = 14508. What is the remainder when y is divided by 261?
13
Let a = 25988 + -25903. What is the remainder when 713 is divided by a?
33
Let c(s) = s**3 - 44*s**2 + 58*s - 612. Calculate the remainder when c(43) is divided by 33.
0
Let t = -233 + 239. What is the remainder when (-15)/(6/3*(-1)/t) is divided by 23?
22
Let n(h) = 2*h**2 - 27*h + 555. Calculate the remainder when n(0) is divided by 119.
79
Let v(t) = -16*t**2 - 4*t - 4. Let f(z) = -17*z**2 - 3*z - 4. Let w(c) = -5*f(c) + 4*v(c). Calculate the remainder when w(2) is divided by 18.
14
Let s = -9 + 14. Let g be s