he remainder when m is divided by s?
1
Let o = -58 + 64. Let n(i) be the third derivative of i**4/24 + i**3 + 2*i**2. Calculate the remainder when n(o) is divided by 7.
5
Let w = -32 + 36. What is the remainder when 43 is divided by w/(-5) - (-395)/25?
13
Let d(l) = 152*l**2 - 8*l + 4. Let t be d(2). Suppose 4*q + 262 = 2*u, -4*u + 3*q + t = 57. Calculate the remainder when u is divided by 23.
22
Suppose -2*h = -2*u + 99 - 1, 2*u + 2*h = 86. Let f = -28 + u. Calculate the remainder when 32 + (4 - 0) + -2 is divided by f.
16
Let u(q) = q**2 + 12*q + 9. Let w be u(-11). Suppose 3*x - h = 36, -5*x = -5*h - 63 + 13. Let l = x - w. What is the remainder when 27 is divided by l?
12
Suppose -4*k = -52 - 168. What is the remainder when k is divided by 2 + 3 + -3 - (-11 - 1)?
13
Suppose 3 = -2*s + 33. Suppose 0 = 4*d - 4*g - 44, 2*d - 3*d = -2*g - s. Calculate the remainder when (-2)/(1*10/(-95)) is divided by d.
5
Let z(k) = -2*k**3 - 16*k**2 - k + 16. Calculate the remainder when z(-9) is divided by 15.
7
Let o(t) = 32*t - 209. Calculate the remainder when 191 is divided by o(7).
11
Calculate the remainder when 85 is divided by (((-8)/6)/(8/348))/(-2).
27
Suppose 2*j - 2*u - 38 = 0, 2*u + 26 = j + 7. Suppose -23 = -3*z + j. Let k = 73 + -33. Calculate the remainder when k is divided by z.
12
Let d(f) = 2*f + 27. Suppose 0 = b - 2*s + s + 8, -b + 5*s + 4 = 0. What is the remainder when d(b) is divided by 2?
1
Let y be (-3*14/63)/((-1)/(-45)). Calculate the remainder when 148 is divided by (-101)/(-2) + y/60.
48
Let f(r) = 5*r - 55. What is the remainder when f(23) is divided by 16?
12
Calculate the remainder when 126 is divided by 7/((-56)/(-8)) + 34 + 1.
18
Suppose -b + 10 - 2 = 0. Let s be b/60 - (-748)/15. Suppose s = -3*w + 5*w. Calculate the remainder when w is divided by 14.
11
Let n = -142 - -271. Calculate the remainder when n is divided by 48.
33
Let l = 255 + -227. What is the remainder when l is divided by 3?
1
Let i(v) = v**3 + 16*v**2 - 17*v + 20. Calculate the remainder when 63 is divided by i(-17).
3
Suppose 92 = 2*y + 2*y. Suppose -9*t = 19 - 127. Calculate the remainder when y is divided by t.
11
Suppose c - 16 = -3*c. Let j = c - -12. Calculate the remainder when 52 is divided by (-4)/(j/(-76)) + -1.
16
Let u(z) = -z**3 + 10*z**2 - 5*z + 11. Let w be u(5). Let n = w + 48. Calculate the remainder when n is divided by 32.
31
Suppose 2*w = -5*r + 39 - 15, -3*r + 5*w = -33. Calculate the remainder when 28 - (7 - -2 - 4) is divided by r.
5
Let q(m) = -m**3 + 11*m**2 - 6*m - 47. What is the remainder when q(9) is divided by 8?
5
Suppose 40*b + 555 = 55*b. Calculate the remainder when b is divided by 25.
12
Let d(b) = -14*b**2 - 1. Let w be d(-2). Let h = -26 - w. Suppose 2*m + 3*z + 37 - 66 = 0, 0 = m - 3*z - 28. What is the remainder when h is divided by m?
12
Suppose 18*r = 27*r - 189. Suppose 4*w - 54 = 3*n, -5*w - 5*n + 27 + 23 = 0. Calculate the remainder when r is divided by w.
9
Suppose 4*b - 6 = -3*y + 30, 4*y = b + 10. What is the remainder when 13 is divided by b?
1
Let z(l) = -5*l + 2. Let m(g) be the third derivative of -g**4/2 - 7*g**3/2 - 7*g**2. What is the remainder when m(-9) is divided by z(-4)?
21
Let g = 32 - -4. Suppose 4*s + g = q, -2*q - 5*s + 31 = -28. Calculate the remainder when q is divided by 11.
10
Let v(s) = s**3 - s**2 - 1. Let y be v(2). Suppose -y*m - 4 = -5*m. What is the remainder when (-1 + (-30)/(-12))*36/27 is divided by m?
0
Suppose -4*r = -8*r + 188. Let o(j) = -j**3 + 2*j**2 + 13*j + 73. What is the remainder when o(-5) is divided by r?
42
Let x(a) = -a**2 - 7*a + 5. Let s = -18 + 11. Suppose 0 = -3*r + 32 + 7. Calculate the remainder when r is divided by x(s).
3
Suppose -2*r + 0*r + 76 = 0. Suppose 0*a - a = 0. Suppose a = -2*m + 5 + 21. Calculate the remainder when r is divided by m.
12
Let r(s) = -s**2 - 14*s - 4. Let i(p) = p**3 - 5*p**2 - 5*p - 5. Let f be i(6). Let x = 16 - f. Calculate the remainder when r(-8) is divided by x.
14
Let m = -922 + 979. What is the remainder when 244 is divided by m?
16
Suppose -l - 3*l = -44. Suppose 0 = -u - 5, 284*u + 136 = 3*x + 282*u. Calculate the remainder when x is divided by l.
9
Suppose 46*y = 56*y - 180. What is the remainder when 213 is divided by y?
15
Suppose 2*u - 1 = -5. Calculate the remainder when u*((-21)/6 + 0) is divided by (-2)/(-2) + -1 + 2.
1
Let v(k) be the first derivative of k**3/3 + k**2/2 - 2. Let u be v(3). Let p = 25 - u. What is the remainder when 24 is divided by p?
11
Let q be (-2)/(-4) - 14/((-28)/135). Let i = q - -7. What is the remainder when i is divided by 21?
12
Let f(h) = h + 11. Let j be f(8). Suppose 0 = -5*i + m - 19, 0*i + 4*i + 16 = m. Let w = i + j. What is the remainder when w is divided by 6?
4
Let a(c) = c**3 + 23*c**2 + 57*c - 46. Calculate the remainder when a(-20) is divided by 5.
4
Let p(w) be the third derivative of -w**4/24 + 17*w**3/6 - 8*w**2. Let x be p(14). Calculate the remainder when 79 is divided by x + (-4)/(-12)*51.
19
Let s(i) = 29*i + 7. Let h(w) = 86*w + 20. Let q(n) = 5*h(n) - 14*s(n). Let a be q(1). What is the remainder when 25 is divided by (39/a)/((-2)/(-12))?
7
Let k = 21 - 44. Let l = k + 68. What is the remainder when l is divided by 24?
21
Suppose 0 = -2*r - 5*f + 12, -2*r + r = -4*f + 7. Calculate the remainder when (-1 - -7)*96/18*r is divided by 17.
15
Let o(x) = x**3 + 5*x**2 - 4*x + 8. Let a be o(-6). Let n = a + 6. Suppose 0 = -2*m - 2*i, 0 = 4*m + i - 16 + 4. What is the remainder when m is divided by n?
0
Let f = 211 - 190. What is the remainder when 98 is divided by f?
14
Suppose -4*a - 5*r = -3*a + 6, 2*a - r - 10 = 0. Suppose -s + 7 = -4*o + 3, -4 = -s - 4*o. Calculate the remainder when s is divided by a.
0
Let k(w) = w**3 + 19*w**2 - 18*w - 22. Calculate the remainder when k(-19) is divided by 23.
21
Let r be 0 + 100 + 2 + -6. Suppose -7*a + 2*a = w - 40, -4*w = 4*a - r. Suppose -11*v - w = -15*v. Calculate the remainder when 6 is divided by v.
1
Suppose -14*i + 1786 = 470. Calculate the remainder when 137 is divided by (i/8)/(-6 - (-75)/12).
43
Let o be (-4 - (-1 - -9))/(-2). Suppose -o*k + 216 = -0*k. Let n(i) = i**3 - 11*i**2 + 12*i - 7. What is the remainder when k is divided by n(10)?
10
Suppose 34*t = 201*t - 12692. Suppose 0 = h - 3*f + 4, h - 5*h + 3*f = -29. What is the remainder when t is divided by h?
10
Let z be 48/(-28)*42/(-9). Suppose -5*n = -z - 67. What is the remainder when 27 is divided by n?
12
Calculate the remainder when (1272/(-7))/(42/(-147)) - 2 is divided by 80.
74
Let w(t) = t**3 - 12*t**2 + 10*t + 15. Let p be -1 + (3 - 1) + 1. Suppose u = p*u - 11. Calculate the remainder when w(u) is divided by 4.
0
Let c(a) = -5*a - 1. Let m be c(-1). Suppose 5*n = 5*q + m*n - 89, -4*q - 3*n = -56. What is the remainder when 33 is divided by q?
16
Let k = -275 - -326. What is the remainder when k is divided by 8?
3
Let p(i) = 9*i + 202. What is the remainder when p(-7) is divided by 66?
7
Let v(r) = -2*r**2 - 38*r + 45. Calculate the remainder when v(-17) is divided by 13.
9
Let x = -147 + 168. Let t(z) = -2*z**3 - 4*z**2 - 3*z - 2. Let f be t(-2). Calculate the remainder when f*(-2)/(-4) - -81 is divided by x.
20
Let j be (2 + (6 - 9))/((-1)/5). Suppose -d = -5*p - 87, -j*p + 33 - 217 = -2*d. Calculate the remainder when d is divided by 25.
22
Let h = -14 - -19. Suppose -3*g + 2*s = -2*s - 20, -h = -5*s. Calculate the remainder when 33 is divided by (-2 - (g - 3))/(-1).
5
Let t = -145 - -141. Calculate the remainder when (t/(-10) - (-156)/60) + 8 is divided by 8.
3
Let x be 0 + 43 - (-2 + 1). Suppose k - 56 = -3*p, -4*p + 2*p = 2*k - x. Calculate the remainder when p is divided by 5.
2
Calculate the remainder when 158 is divided by (2/(-2) + 13)/((-58)/(-116)).
14
Suppose 4*g - 33 = -3*w + 62, -w - 15 = -g. Let p = g + 15. Calculate the remainder when 68 is divided by p.
33
Let x = 12 + -17. Let o = 7 + x. What is the remainder when 58/5 + o/5 is divided by 7?
5
Let l(b) = b**3 - 6*b**2 + 4*b + 5. Let d be l(5). Suppose -2*u + 5*x + 31 = 0, -2*x - 20 = -u - 4. Calculate the remainder when u is divided by 1 + d - 4*-1.
3
Let g(q) = 9*q**2 + 96*q + 5. Calculate the remainder when 72 is divided by g(-11).
34
Let s(z) = -2*z + 4. Let l be 10*(1 + 7/(-5)). Le