 - 828. What is the remainder when n is divided by 65?
3
Suppose -5*c = 0, k + 2*c + 2*c = 6. Suppose k = 2*o, -111 = 4*q - 3*o + 190. What is the remainder when 31 is divided by ((-2)/8)/1*(5 + q)?
14
Let q(l) = l**2 + 6*l - 522. Let c(s) = s**3 - 5*s**2 - 9*s - 1. Let y be c(7). Calculate the remainder when q(22) is divided by y - (4 - 2) - 0.
30
Suppose 2*i = -0*i + 30. Let f be 11/((-66)/1176) - -3. Let t = -183 - f. What is the remainder when i is divided by t?
5
Let o(x) = -15*x**3 - 2*x**2 - 4*x - 2. What is the remainder when (152 - 3 - 8) + 6 is divided by o(-1)?
12
Let g(x) = -x**2 - 3*x - 1. Let z be g(-3). Suppose -73*n + c = -69*n + 20, 0 = n - 4*c + 5. Let o = z - n. Calculate the remainder when 11 is divided by o.
3
Let c = -15033 + 19864. What is the remainder when c is divided by 82?
75
Let i(y) = -3*y + 137. Let u be ((-1)/(-1))/((-5)/(-110)). What is the remainder when 352 is divided by i(u)?
68
Let a(h) = -2*h + 41. Let z be a(21). Let k(d) = 10*d**2 - d - 1. Let l be k(z). Suppose -l*m + 6*m + 232 = 0. What is the remainder when m is divided by 12?
10
Let y be 4/10 - 10/((-50)/3). Suppose -5*j + y = 11. Calculate the remainder when (-15)/3 - j - -16 is divided by 2.
1
Suppose 174*t + 160*t = -37*t + 604730. What is the remainder when t is divided by 541?
7
Let p(w) = 220*w - 2256. Calculate the remainder when p(31) is divided by 305.
294
Suppose -391*w + 990920 + 2253633 + 168877 = 0. What is the remainder when w is divided by 74?
72
Let o = 17 - 12. Suppose 0 = -5*r - 5*a + 155, 0 = -0*r - 4*r + 4*a + 140. Suppose o*b - 52 - r = 0. Calculate the remainder when b is divided by 9.
8
Let u = 161 + -105. Suppose -26*g + 557 = -25*g + f, 4*f = 3*g - 1671. What is the remainder when g is divided by u?
53
Let g = 4135 - 2986. Calculate the remainder when g is divided by 128.
125
Let m(w) be the second derivative of w**5/20 - 5*w**4/4 + 17*w**3/3 + w + 2. Calculate the remainder when m(14) is divided by 33.
16
Suppose -s = 14*s - 600. Suppose -q + 8*w - 3*w = 102, -5*w = 4*q + 458. What is the remainder when 49 is divided by s/14*q/(-32)?
9
Let b = 397 + -381. What is the remainder when 1838 is divided by b?
14
Suppose 37 = x + 6. Let m = -61339 + 61573. What is the remainder when m is divided by x?
17
Let x be 0 - -2 - -6*(-2)/(-4). Suppose -9*k + 7*k = -y - 640, 0 = -x*k - y + 1586. What is the remainder when k is divided by 46?
42
Calculate the remainder when 33396/16 + (65/(-20) - (-1 + -2)) is divided by 51.
47
Let h(i) = -i**3 + 11*i**2 - 31. What is the remainder when h(10) is divided by (-7)/((-48)/15 - -3)?
34
Calculate the remainder when 100*((-26)/(-2) - (-621)/18) is divided by 29.
23
Let g be 4 + -6 + (-8 - -13). Suppose 0 = -4*j - 3*b + 110, -5*j - g*b + 7*b + 122 = 0. What is the remainder when 50 is divided by j?
24
Let x(j) = 97*j - 2115. What is the remainder when (-6 + 0)*55/(-10) is divided by x(22)?
14
Let r be (-4)/20 - (-78)/15. Suppose 108 = 3*y + 3*a - 8*a, 5*a + 180 = r*y. Let v = -166 - -170. What is the remainder when y is divided by v?
0
Let r(k) be the first derivative of k**4/4 - 5*k**3 - 23*k**2 + 19*k - 53. What is the remainder when r(18) is divided by 15?
13
Suppose -8*z = -6*z + 3*t - 52, -t - 16 = -z. What is the remainder when 92 is divided by (-8)/z + 726/15?
44
Let i = -26536 + 26734. What is the remainder when i is divided by 95?
8
Suppose -5*l - 304 = -334. Suppose -l*i = -111 + 9. Calculate the remainder when i is divided by 16.
1
What is the remainder when 597 is divided by 28/(-8)*(2916/21)/(-9)?
3
Let x = 3 - -4. Let p(i) = 10*i**2 - 35*i + 6. What is the remainder when p(4) is divided by x?
5
Suppose -5*f = -27 + 27. Let x(w) = w**2 + w + 15. Suppose 85 = 3*n + 10. What is the remainder when n is divided by x(f)?
10
Let y(n) = 4*n - 9. Let a(u) = 5*u - 2. Let w(p) = 2*a(p) - 3*y(p). What is the remainder when w(-12) is divided by 3?
2
Let f(i) = -17*i - 23*i**2 + 3*i**2 + 7*i**2 + 93 + 14*i**2. Calculate the remainder when 215 is divided by f(11).
26
Suppose 216*l - 3286 - 468 = 5102. Let a(z) = z**2 - 14*z + 5. What is the remainder when a(-10) is divided by l?
40
Let u = -84 - -29. Let w = u - -82. What is the remainder when 242 is divided by w?
26
Let i(a) = a**3 - 6*a**2 - 9*a - 39. Suppose -2*m - 4*p = -16, -m = -6*p + 7*p - 9. What is the remainder when i(m) is divided by 55?
51
Calculate the remainder when 85*(-12)/(-20)*(-717)/(-9) is divided by 19.
16
Let z(j) = j**3 + 6*j**2 + 7*j + 1. Let f be -5 + (0 - -1) + 1. Let b(q) = -q**2 + 13*q - 2. What is the remainder when b(11) is divided by z(f)?
6
Let v(b) = 2 - 100*b**3 + 35*b**3 - 142*b**3 - 4 + b**2 + b**2. Calculate the remainder when v(-1) is divided by 52.
51
Let i = 111 + -111. Let q be 4 + (11 - i)*(1 - 0). What is the remainder when q/12*(-1 - -9) is divided by 7?
3
Let u(v) = 13*v**3 - 104*v**2 + 5*v + 24. Calculate the remainder when 2302 is divided by u(8).
62
Suppose 753*w - 756*w + 111 = 0. Suppose w*z = 24*z + 624. What is the remainder when z is divided by 10?
8
Suppose 1190 = 16*i + 246. What is the remainder when 766/4 + 5 + (-22)/4 is divided by i?
14
Let d = 5 - 0. Let r be 407/33 - 1/3. What is the remainder when r*7/147*(-1 - -15) is divided by d?
3
Suppose 5*b + 72 = 2*n - 0*n, 2*n - b - 72 = 0. Suppose t - 540 = -4*y, 3*y - 3*t - 87 = 303. What is the remainder when y is divided by n?
26
Suppose 9*l = -2*l + 2*l + 49590. What is the remainder when l is divided by 26?
24
Let w = -174 - -201. Let k = 58 - w. What is the remainder when k is divided by 1/3*15*1?
1
Let w = -52 + 33. Let l(f) = 2*f**2 + 25*f - 68. What is the remainder when l(w) is divided by 61?
57
Let p(w) = -6*w**2 - 69. Let f be p(-11). Let z = f + 1607. Calculate the remainder when z is divided by 37.
35
What is the remainder when 319 is divided by (12/42)/(-3 - 715/(-238))?
47
Suppose -5649 = 15*j + 29*j - 24085. Calculate the remainder when j is divided by 90.
59
Suppose -3*m + 8 = -7. Suppose 5*c + 4*v - 200 = c, -m*c + 246 = 4*v. Calculate the remainder when 134 is divided by c.
42
Let s(q) = q**3 - 16*q**2 - q - 32. Let k be s(16). Calculate the remainder when k/28*42/(-4) is divided by 7.
4
Let w = -18521 - -19080. Calculate the remainder when w is divided by 156.
91
Let x(v) = 21*v**3 - 14*v**2 + 25*v + 1. Calculate the remainder when 752 is divided by x(2).
100
Suppose 15*o = 1154 + 1171. Calculate the remainder when 595 is divided by o.
130
Let n = -1248 + 1921. Let w = -250 + n. What is the remainder when w is divided by 17?
15
Suppose q - 27 = 2*x, -3*q + x + 96 = -0*q. Let v be (-6134)/(-22) + (1 - 27/q). Let u = v + -190. Calculate the remainder when u is divided by 31.
27
What is the remainder when 0/4 + 5 - 2/(6/(-1065)) is divided by 173?
14
Let i be (34 + -44)*14/(-4). Let h = i - -32. Calculate the remainder when h is divided by 18.
13
Calculate the remainder when 217 is divided by 0 - ((-2)/(-21) - 19885/861).
10
Let f = -37 + 39. Suppose 3*r - 15 = -c, 15 = 3*c + f*c + 3*r. Suppose c*a - 451 = -11*a. Calculate the remainder when a is divided by 14.
13
Let w = 16367 + -16304. What is the remainder when 132 is divided by w?
6
Let u be (2 - 6 - -6) + 2 - 103. Let p = -77 - u. What is the remainder when p is divided by 6?
4
Let a(k) = k**3 - 7*k + 21. Suppose -83 = -13*p - 44. Calculate the remainder when 51 is divided by a(p).
24
What is the remainder when 4025085/1647 - (-8)/(-9) is divided by 30?
13
Let n = 9777 + -9714. What is the remainder when 2580 is divided by n?
60
Suppose 2*f + 86*q - 11 = 91*q, 5*q = 5. Let s(i) = -13*i + 1. What is the remainder when s(-7) is divided by f?
4
Suppose 15*k = 22*k - 623. Suppose -4*w + 40 = 2*a, 0 = 3*a + 2*a - w - 89. Calculate the remainder when k is divided by a.
17
Let a be ((-8)/6)/((-10)/(-15)). Let d be 142/2 + (a*1 - 1). Calculate the remainder when d - (-4 + 4 - 4) is divided by 15.
12
Suppose 704 = 3*w - 38*p + 39*p, 4*w - 937 = -3*p. Calculate the remainder when w is divided by 1 + (66/(-11))/((-2)/11).
31
Let v = -200 + 109. Let u = 221 + v. What is the remainder when u is divided by 66?
64
Suppose -3*x + 4*i = -68, 95*x + 4*i - 100 = 92*x. Let h(m) = m**3 + 6*m**2 + 2*m. Suppose -2 + 7 = -w. What is the remainder when x is divided by h(w)?
13
Let l = -82 + 378