?
5
Let z be (-2 + 2)/(-9 + 11). Suppose 7*n + n - 952 = z. Calculate the remainder when n is divided by 8.
7
Suppose 9*d = 4*d + 10, 3*m - 43 = d. Suppose 0 = 4*t - m*t + 121. Calculate the remainder when 196 is divided by t.
9
Let l(j) be the third derivative of 77*j**5/30 + 7*j**4/24 - 4*j**3/3 + 2*j**2. Suppose -22*f + 43*f - 21 = 0. What is the remainder when l(f) is divided by 52?
49
Suppose -20 = 3*y + 13. Suppose -233 = -9*b - 71. Calculate the remainder when 5/2*y*80/(-25) is divided by b.
16
Calculate the remainder when (-12)/7*2462656/(-1434) is divided by 211.
201
Let p be (-101)/(-9) - (-6)/(-27). Suppose -h - p*h + 3864 = 0. What is the remainder when h is divided by 81?
79
Let r(l) = 63*l**2 + 46*l - 175. What is the remainder when r(4) is divided by 73?
68
Suppose 0 = 538*u - 516*u + 858. Let c(l) = l**3 + 7*l**2 - 2*l + 1. Let h be c(-4). Let y = h + u. What is the remainder when y is divided by 5?
3
Let j(g) = g**3 - 5*g**2 + 8*g + 2. Let u be j(4). Calculate the remainder when 645/12 - (u/24 + -1) is divided by 32.
22
Let t(v) = -2*v + 3. Suppose -352*k - 164*k = -6708. What is the remainder when t(-8) is divided by k?
6
Let q(l) = -20*l + 36. Let i(f) = 4*f - 7. Let t(v) = 16*i(v) + 3*q(v). Let s be t(13). Let d = -27 + s. What is the remainder when d is divided by 8?
5
Let d = 110 - 109. What is the remainder when 32/(-16)*(0 - d) is divided by 24/(-16)*4/(-6)?
0
Let l(x) = 32*x - 11. Let h be l(-17). Let q = h - -798. What is the remainder when q is divided by 13?
9
Suppose -18*y = 164 - 488. Calculate the remainder when 183 is divided by y.
3
Calculate the remainder when (26 + 770/(-30))/((-5900)/(-5898) - 1) is divided by 47.
43
Suppose 9*z - 4*z + 90 = 0. Let u be (-4)/z + 49/63. What is the remainder when ((3/3)/u)/((-3)/(-351)) is divided by 17?
15
Let o(q) = -q**3 - 24*q**2 + 26*q + 3. Let k be o(-25). Calculate the remainder when (3 + -23)*165/k is divided by 8.
6
Let m(c) = -c**3 - 4*c**2 + 4*c + 18. Let s(d) = -d**2 - 8*d - 1. Let y(t) = t**3 - t - 7. Let n be y(0). Calculate the remainder when m(-5) is divided by s(n).
5
Let h(v) = -250*v - 1730. Calculate the remainder when 1233 is divided by h(-7).
13
Let s be (-1)/1 + 28/7. Suppose -3*p = s*p. Suppose -4*i - 111 = 2*h - 347, p = -3*i - 5*h + 163. What is the remainder when i is divided by 21?
19
Let k = 151 + -57. Let l = -185 - -200. Suppose l*m - k = 2216. What is the remainder when m is divided by 13?
11
Suppose -5*u - 721 = 2*n, 4*n - 4*u + 419 = -953. Let l = n - -358. Let t = 85 - 54. Calculate the remainder when t is divided by l.
1
Suppose 2*i + 1054 = 4*d - 98, 5*d - 4*i = 1449. What is the remainder when d is divided by 21?
12
Let l = 111 - 37. Let g = 34 + -28. Suppose -13*u + g = -85. What is the remainder when l is divided by u?
4
Calculate the remainder when 840/(-672) + (-693)/(-4) is divided by 104.
68
Let d(h) = 565*h**2 - 130*h - 553. Calculate the remainder when d(-4) is divided by 77.
75
Suppose -61*o + 40*o + 210 = 0. What is the remainder when 54 is divided by (-2)/4*-41 - (-15)/o?
10
Let v(q) = q**3 + 19*q**2 + 2. Let l be v(-19). Suppose -5*i + 65 = l*b, 5*b + 13 + 17 = 5*i. Let k = i + -1. What is the remainder when 21 is divided by k?
1
Let s be ((-12)/(-15))/(1 - (-31)/(-30)). Let g = 27 + s. Let q = 68 + -59. Calculate the remainder when q is divided by g.
0
Let z(g) = 24*g**2 + 4*g - 4. Let x be (5 - 4) + 180/(2 + 1). Let m = x + -27. What is the remainder when z(2) is divided by m?
32
Suppose 0 = w + 238 - 971. What is the remainder when w is divided by 49?
47
Suppose -108 = -5*z - 0*z + i, z - 30 = -4*i. Let n(g) = 0 - 9 + 1 + 7*g + 14*g - g**2. What is the remainder when n(17) is divided by z?
16
Let b(d) = d**2 - 9*d - 2. Let a be b(10). Let h = a + -10. Let u(z) = 10*z**2 + z - 3. What is the remainder when u(h) is divided by 19?
16
Suppose -z = v + 3, 4*v - 3 = v + 3*z. What is the remainder when (6 - (v - -2)) + 54 is divided by 21?
17
Let n(h) = -314*h + 1332. Calculate the remainder when 246 is divided by n(4).
18
Suppose -5*z = 20 - 35. Suppose -5*k - 75 = -g, z*g - 4*g = 5*k - 35. What is the remainder when 108 is divided by g?
53
Let n(s) = -s**2 - 29*s + 186. What is the remainder when n(-27) is divided by 42?
30
Let w = -118 + 220. Let p = w + -97. Suppose 4*r + 170 = p*z - 26, 0 = -4*z - 3*r + 132. What is the remainder when z is divided by 21?
15
Suppose -l + 2*m + 47 = -211, 0 = 3*m + 3. What is the remainder when 936 is divided by l?
168
Suppose -3*t - 5*b - 2 = 14, -2*t - 2*b - 4 = 0. Suppose -15*z + 18*z + 30 = 0. Let a = 7 - z. What is the remainder when a is divided by t?
2
Suppose -16*o + 425 = 73. What is the remainder when o is divided by -2*((-14)/10 + (-6)/(-15))?
0
Suppose -7*z = -40 + 5. Suppose -709 - 1166 = -z*u. What is the remainder when u is divided by 47?
46
Let r = 848 - 66. Suppose 62*d - 39*d = r. Calculate the remainder when 135 is divided by d.
33
Suppose -11*p + 9*q = -6*p - 5409, -4*p = 4*q - 4428. What is the remainder when p is divided by 138?
132
Suppose 0 = -767*n + 770*n - 9. Suppose 4*l + 3*p + 803 = 9*l, -n*l = 3*p - 501. Calculate the remainder when l is divided by 46.
25
Suppose 0 = -883*l + 884*l - 28. Calculate the remainder when 38 is divided by l.
10
Let s = 121 + 206. Let q = s + -312. Calculate the remainder when 31 is divided by q.
1
Suppose -v = -5*u - 46, 89*u + 163 = 4*v + 90*u. Suppose p + 4 = 3*p. Calculate the remainder when ((-2)/2)/(p/(-488)) is divided by v.
39
Calculate the remainder when 4275 is divided by 267/(-34)*-6 - 2/17.
45
Let i(j) = -j**3 - 29*j**2 - j - 5. Let x(d) = 2*d**3 + 29*d**2 + 2*d + 6. Let c(p) = 3*i(p) + 2*x(p). Calculate the remainder when c(29) is divided by 4.
2
Let l(x) = 5*x**3 + 6*x**2 - x + 12. Let o(h) = -4*h**3 - 6*h**2 - 12. Let q(w) = -5*l(w) - 6*o(w). What is the remainder when 74 is divided by q(6)?
32
Suppose -n - 8 + 25 = 0. Let k(g) = -g**3 + 35*g**2 - 78*g + 433. Calculate the remainder when k(33) is divided by n.
3
Let y(n) = -4*n**2 - 92*n - 299. What is the remainder when 759 is divided by y(-19)?
4
Let l(j) = -j**3 - 9*j**2 - 20*j - 4. Let d be (-4*(-3)/4)/((-1)/(-1)). Suppose 8 = 2*z - 5*m + 32, 6 = d*m. Calculate the remainder when l(z) is divided by 13.
12
Let m(l) = 174*l - 150. Let u be m(8). Suppose -12*n + 35*n - u = 0. Suppose 3*j = 4*j - g - 31, -4*g = 2*j - 44. What is the remainder when n is divided by j?
26
Let h(j) = 46*j**2 - j + 1. Let a = 162 - 166. Calculate the remainder when h(1) is divided by 14 + (-3)/(a + 1) + 3.
10
Let s(r) = -r**2 + 6*r + 31. Let l(t) = t**2 - 5*t - 32. Let g(j) = 5*l(j) + 4*s(j). What is the remainder when g(-7) is divided by 2?
0
Suppose -4*g - 15586 = -4*c + 14146, 0 = 5*c + 3*g - 37173. Calculate the remainder when c is divided by 143.
141
Suppose 2*v - 20 = 8. Let q(t) be the second derivative of -t**5/20 + 5*t**4/6 + t**3/6 + 3*t**2/2 + 8*t - 3. What is the remainder when q(6) is divided by v?
13
Let q(v) be the first derivative of 5/2*v**2 - 1/4*v**4 + 7/3*v**3 + v + 11. What is the remainder when q(7) is divided by 13?
10
Let b(v) = 18*v + 11. Let w(f) = -f**2 - 54*f - 34. Let a(p) = 7*b(p) + 2*w(p). Calculate the remainder when (1/(-3 + 0))/((-16)/3264) is divided by a(9).
5
Suppose -4*k + 94*a + 183 = 95*a, -5*a + 15 = 0. Calculate the remainder when 218 is divided by k.
38
Let p = -75 - -109. Let m = p - 19. Let i(s) = -s**3 - 18*s**2 - 22*s - 15. What is the remainder when i(-17) is divided by m?
10
Suppose -24*c - 180 = -660. Calculate the remainder when 757 is divided by c.
17
Let k = 40 + -14. Let i(c) = 9*c**2 - 27*c - 98. Calculate the remainder when i(-4) is divided by k.
24
Suppose -15423 = -8*r + 10769. Calculate the remainder when r is divided by 28.
26
Let q(v) = -v**2 + 21*v + 20. Let x be q(12). Suppose x = 8*o - 6*o. What is the remainder when 179 is divided by o?
51
Let o = 48 - 34. Let k be 1/24*9 + (-197)/(-8). Let d = k + 14. Calculate the remainder when d is divided by o.
11
Suppose -77 = -4*l - a, 55 = 4*l - 2*l - 5*a. Calculate the remainder when (2/4)/(8/1264) is divided by l.
19
Let m(w) = 75*w**2 - 39*w + 1. What is the remainder when m(6) is divided by 130?
127
Let j = -1035 + 1080. What is the remainder when 1121 is divided by j?
41
Let c = -