e -k*c + 180 = 17*c. What is the remainder when c is divided by 5?
4
Calculate the remainder when 585 - 0/(3 + -7) is divided by 31.
27
Suppose 7 - 19 = -6*u. Suppose -6*d + 210 = 66. Calculate the remainder when (-3)/d*u - 847/(-28) is divided by 8.
6
Suppose -2*v = -29*v + 2997. What is the remainder when 189 is divided by v?
78
Suppose 0 = 2*s - 3*n + 2 + 68, -5*s - 2*n = 137. Let m = -39 - s. Let d(f) = -f**2 - 14*f - 22. Calculate the remainder when 53 is divided by d(m).
17
Suppose 3*z + h - 4 = 0, z = -2*h + 4 - 6. Let p be 141 + 0 + -1 + z + 0. Suppose -3*y + p + 29 = 0. Calculate the remainder when y is divided by 20.
17
Let q(f) = 1388*f + 12689. What is the remainder when q(-5) is divided by 27?
25
Suppose 8 = 5*a - 2*x, 3*x = 2*a + 4 - 16. Let s be a + 16 - (1 - -3). Let p(i) = i**2 - 5*i - 1. Calculate the remainder when p(s) is divided by 14.
13
Let t be 533/(-3) - 1/3. Let i = -177 - -501. Let j = t + i. Calculate the remainder when j is divided by 49.
48
Suppose -82153 + 83623 = 15*s. What is the remainder when 211 is divided by s?
15
Let v = -73 - -73. Suppose -40*j + 46*j - 90 = v. Let p(x) = -9*x**3 - 1. What is the remainder when j is divided by p(-1)?
7
What is the remainder when 765 is divided by (106/(-1 + 3))/((-101)/(-707))?
23
Suppose 721 - 803 = -3*j + g, 38 = -2*g. Let b be (6/(-8))/((-2)/8). Let s(t) = t**3 - 2*t**2 - 2*t + 3. Calculate the remainder when j is divided by s(b).
3
Let n(g) = g**3 - 5*g**2 + 7*g - 6. Let d(c) = 13*c**2 - 6*c - 36. Let o be d(-4). Suppose -o = -55*l + 27*l. Calculate the remainder when n(5) is divided by l.
1
Let n(p) = 88*p**2 + 511*p + 25. What is the remainder when n(-16) is divided by 20?
17
Suppose 5*g - 307 = -57. Let b = -394 + 420. What is the remainder when g*3*1/3 is divided by b?
24
Suppose 38 = 3*r - 196. Suppose 2*f + 1213 = -2*m - 269, -3*f - 2218 = 2*m. Let s = -696 - f. Calculate the remainder when r is divided by s.
38
Suppose -5*t + 38896 = 12*t. What is the remainder when t is divided by 29?
26
Let i = 23 + 41. Calculate the remainder when (i + -1)/1 - (-12)/(-6) is divided by 16.
13
Suppose 0 = -2*x + 3*y + 11, -2*x + 4*y - 2*y + 10 = 0. Suppose 104 = x*q - 4*u, -4*q + 4*u - 7*u + 76 = 0. What is the remainder when q is divided by 12?
10
Suppose 19*b + 22*b - 25704 = 5*b. Calculate the remainder when b is divided by 55.
54
Let n = 89 - 76. Let c = n + 16. What is the remainder when c is divided by 11?
7
Let z be (0*(-5 + 4))/(-2 - 0). Let g(f) = -f + 354. Let k be g(z). Suppose -166 = -5*c + k. What is the remainder when c is divided by 27?
23
Suppose 0*i = 3*l - 3*i - 63, -5*l - 3*i + 129 = 0. Let f(m) = 2*m**2 - 47*m - 6. Suppose 3*z = -10 + 43. Calculate the remainder when f(l) is divided by z.
7
Let z(m) = 3*m**3 - 1. Let g be z(1). Suppose 0 = g*t - 75 - 25. Suppose q - t = -n, -2*q - 5*n + 46 = -q. Calculate the remainder when q is divided by 13.
12
Let p = 2 + 9. What is the remainder when 2448/(-54)*(-5 - (-1)/(-1)) is divided by p?
8
Suppose -5*b = 5*l - 1385, -l - 3*b = 36 - 301. Calculate the remainder when l is divided by 57.
55
Suppose -151*s + 28678 + 31306 = 12419. What is the remainder when s is divided by 98?
21
Let j = -432 + 801. Suppose -2*n = 3*b - j, 4*n = 4*b - 2*b + 730. Calculate the remainder when n is divided by 17.
13
Suppose -64*k + 57*k + 392 = 0. What is the remainder when 2567 is divided by k?
47
Let c(m) = 2*m. Let u(p) = -9*p + 33. Let d(x) = 5*c(x) + u(x). Calculate the remainder when 43 is divided by d(-11).
21
Suppose 0 = 6*w - 7*w + 14. Let n(d) = 172 - 187 - w*d + 4*d. Calculate the remainder when n(-7) is divided by 7.
6
Let j = -739 - -780. What is the remainder when 2697 is divided by j?
32
Suppose -2*t = c - 172, 5*c - 2*t = -0*t + 848. Let a = -50865 + 50913. What is the remainder when c is divided by a?
26
Let r be 2244 - (-17 + 9 - -2). Suppose -24*j + 14*j = -r. Calculate the remainder when j is divided by 19.
16
Let y(n) = -n**2 - 115*n + 243. Calculate the remainder when y(-114) is divided by 270.
87
Let y(k) = -3*k + 15. Let x be y(11). Let v = -7 - x. What is the remainder when 55 + 0 - ((0 - 2) + 3) is divided by v?
10
Let a(y) = 2*y**2 - 8*y - 8. Let d = 29116 - 29094. Calculate the remainder when a(7) is divided by d.
12
Let h(z) = 5*z - 113. Suppose 12*q + 131 - 431 = 0. Calculate the remainder when h(q) is divided by 5.
2
Suppose -4*u = 2*b - 28, -u = 4*b + 3 - 24. Suppose 0 = 20*s - b*s - 656. Let o(p) = -p**3 + 9*p**2 + p + 2. Calculate the remainder when s is divided by o(9).
8
Suppose 49*k + 64 = 23*k + 558. Calculate the remainder when 435 is divided by k.
17
Let f = 23159 + -22670. Calculate the remainder when 988 is divided by f.
10
Let c(b) = -555 + 220 + 249 - 13*b. What is the remainder when 17 is divided by c(-7)?
2
Suppose -30 - 27 = -3*u - 4*l, -81 = -5*u - 2*l. Suppose 53*w + 7*w - 18*w = 15582. Calculate the remainder when w is divided by u.
11
Let c be (5/10)/(1 + (-28)/32). Suppose c*x + 12*x = 0. Suppose -d - 5*w + 159 = x, 804 = 5*d - 3*w + 93. Calculate the remainder when d is divided by 49.
46
Suppose 5*d + 247 = 3*z, -425*z + 3*d - 171 = -427*z. Calculate the remainder when 339 is divided by z.
3
Suppose x + 70 = 5*l, 1 = -2*l + 5*x + 52. What is the remainder when 214 is divided by l?
6
Let v be (20/40)/(2/8). Suppose -v*s - 8 = -98. What is the remainder when s is divided by 12?
9
Suppose 3*s - 5*j = -483, -4*s + 0*j - 3*j - 615 = 0. Let b be 52/s - 3/(18/(-1616)). Let z = b + -150. Calculate the remainder when z is divided by 20.
19
What is the remainder when (-1008)/((1*(-3)/(-5))/(10/(-25))) is divided by 662?
10
Let s = -9652 - -9697. What is the remainder when 578 is divided by s?
38
Let u be (107 - 1)*11/11. Suppose k = -l + u, l + k + 96 = 2*l. Calculate the remainder when l is divided by 13.
10
Let i = -6753 - -7274. What is the remainder when i is divided by 47?
4
Let u = -68 + 66. Let n(b) = -7*b. Calculate the remainder when n(-7) is divided by ((-10)/20)/(u/(-4))*-13.
10
What is the remainder when 3/((-16)/(-420)*(-4)/(-208)) is divided by 57?
48
Let h = -193 + 196. Suppose 6*o - 45 = -h*o. Calculate the remainder when 102 is divided by o.
2
Suppose 5*i - 3*f = 136, -4*i - 8*f + 128 = -4*f. What is the remainder when 42/(-12)*(-3 - 1067/77) is divided by i?
1
Let n(f) = 6*f + 2. Suppose 3*x - 27 + 6 = 0. Let s(t) = 4*t - 8. What is the remainder when s(x) is divided by n(1)?
4
Suppose 2870*p - 2851*p - 4351 = 0. Let i(g) = g**3 + 12*g**2 - 2*g - 14. Calculate the remainder when p is divided by i(-12).
9
Let r(x) = -719*x - 2739. Let d(q) = 69*q. What is the remainder when r(-4) is divided by d(1)?
68
Let i = 104 - 91. Let s = -3 + i. Suppose -l - 3*l + 112 = 0. What is the remainder when l is divided by s?
8
Let n be ((-36)/(-45) - 2)/((-4)/(-10)). What is the remainder when 73 is divided by 525/14 - (6/4)/n?
35
Let z(a) = a**2 - 52*a + 565. Calculate the remainder when 174 is divided by z(13).
0
What is the remainder when 295 is divided by (-44)/176 + (-361)/(-4)?
25
Suppose 0*h + 15 = 15*h. Calculate the remainder when ((2 + 3)*-1 - -67)/h is divided by 37.
25
Let p be (4/(-12) - 0)*-51. Let t(k) = k**3 - 17*k**2 + 2*k - 25. Let r be t(p). Let v(c) = 16*c - 21. Calculate the remainder when v(r) is divided by 31.
30
Suppose -5*y - 20 + 205 = 0. Suppose 2*k + 12 = 2*x, 2*k + 15 = 5*k. Calculate the remainder when y is divided by x.
4
Suppose -281*b = -253*b - 980. Suppose -409 = -3*m - g, -2*g - g + 123 = m. Calculate the remainder when m is divided by b.
33
Suppose -3*u + 81 = -3*s, u - 196 = -2*s - 163. What is the remainder when 88 is divided by u?
1
Suppose 0 = -48*h + 1883 + 2245. What is the remainder when 284 is divided by h?
26
Let m = 14 + -6. What is the remainder when (0 - 2)/((-94)/1457) is divided by m?
7
Let j(x) = -x**3 - 28*x**2 + 65*x + 351. What is the remainder when j(-32) is divided by 15?
12
Let z(o) be the third derivative of -o**6/120 - 17*o**5/60 - 19*o**4/12 - 3*o**3/2 - 21*o**2. Calculate the remainder when z(-15) is divided by 39.
33
Let k be 3/((-369)/60 - -6). Calculate the remainder when 62 is divided by (41/(-5) - -7)/(3/k).
6
Suppose n = 3*r - 47, 3*r - 31 = -4*n + 6. Suppose z = x - 4*z - 188, 4*x = 2*z + 662. What is the remainder when x