 the remainder when q(-2) is divided by 16.
5
Let r = 11943 + -11922. Calculate the remainder when r is divided by 2 + (6*1 - -1).
3
Let b(q) = -119*q - 5510. Calculate the remainder when b(-58) is divided by 173.
8
Let z be 19/8 - (-129)/(-344). Suppose 7*m = z*s + 9*m - 160, -s = 4*m - 71. Calculate the remainder when s is divided by 17.
15
Let k(d) = -2*d**3 - 114*d**2 + 4*d + 247. Calculate the remainder when 1861 is divided by k(-57).
18
Let f(o) = -o**3 - 2*o**2 - 13*o - 50. What is the remainder when 373 is divided by f(-4)?
33
Let q(w) = 2*w**2 + 113*w - 611. What is the remainder when 62 is divided by q(5)?
2
Let w = -46 + 60. Calculate the remainder when (-13 + 1 - -6) + 32 + 0 is divided by w.
12
Suppose 54*l = -145*l - 5222 + 25918. Calculate the remainder when l is divided by 64.
40
Let p be 2/3 - 78/9. Let r(g) be the first derivative of -4*g**2 + 15*g - 41. What is the remainder when r(p) is divided by 40?
39
Let y = 6918 - -7767. What is the remainder when y is divided by 32?
29
Let h = 14 - 27. Let g = h + 20. What is the remainder when g is divided by -4 + (0 - (2 - -3) - -11)?
1
Suppose -6*w + 9 = -9. Suppose -2*d = -4*h + 22, -w = h + 2*d - 6. Let x = -57 - -61. Calculate the remainder when h is divided by x.
1
Let u(y) = -y**2 + y + 1. Let m(b) = 5*b**2 - 17*b + 51. Let v(q) = m(q) + 4*u(q). Calculate the remainder when 207 is divided by v(7).
12
Let h(k) = 44*k**3 + 14*k**2 + 56*k - 69. Calculate the remainder when 41128 is divided by h(1).
43
Let n = 4051 - 4026. What is the remainder when 8422 is divided by n?
22
Suppose -861 = -10*d + 1849. Let w = 531 - d. What is the remainder when w is divided by 87?
86
Let r(x) be the second derivative of -x**5/20 + x**4/3 + 11*x**3/6 + x**2/2 + 46*x. Calculate the remainder when 92 is divided by r(5).
30
Suppose 26*w + 3632 = 34*w. Calculate the remainder when w is divided by 91.
90
Let l = -52 - -79. Suppose -s + l = 14. What is the remainder when ((-73)/2 - 2)*(-8)/4 is divided by s?
12
Suppose 20 = -56*d + 188. Suppose -5*c + 2*s = -c - 854, 0 = d*c + s - 643. What is the remainder when c is divided by 9?
7
Suppose -4*d - 20 = 0, -5*z + 11*d + 1175 = 14*d. What is the remainder when z is divided by 4?
2
Let b be ((-2)/4)/(((-40)/(-32))/(-5)). Suppose 47*n - 45*n = w + 872, -n + 446 = b*w. Calculate the remainder when n is divided by 55.
53
Suppose -139*d + 1099206 = -63251. What is the remainder when d is divided by 164?
163
Let a = 40 - 6. Let n = -21 + a. Suppose 9 = 5*v + 24, -v = 4*p - n. What is the remainder when 19 is divided by p?
3
Let f = 2147 + -2112. Suppose 28 = 3*q + 2*l, -5*q - 2*l + 28 = -20. What is the remainder when f is divided by q?
5
Let d(i) = 5*i**3 - 159*i**2 - 16*i - 249. What is the remainder when d(32) is divided by 53?
51
Suppose -2*m - 30 = 2*v - 6*m, 5*v = -2*m - 15. Let f(p) = -24*p - 17. Let j be f(v). Suppose 2*q + 23 = j. Calculate the remainder when q is divided by 22.
18
Suppose 44*b = 3066 + 13214. Suppose 2*g - 3*g = -1, -2*c + 2*g = -b. Let n = 90 - 63. Calculate the remainder when c is divided by n.
24
Let o = -26 - -38. Suppose 0 = -30*a + 64 + 3086. Calculate the remainder when a is divided by o.
9
Let k be (1 - (-114)/(-2)) + -1. Let w = 48 + k. What is the remainder when (-3)/(0 + w/51) is divided by 10?
7
Let q be (54/12)/(2/(-4)). Suppose 1 + 411 = 4*b - 2*k, -5*b + 508 = k. Calculate the remainder when b/q*(-6 - -3) is divided by 9.
7
Let f(x) = 475*x - 1183. What is the remainder when 255 is divided by f(3)?
13
Suppose 23 = 2*t + 77. Let i = t + 27. Suppose i = s - 8 - 5. Calculate the remainder when 48 is divided by s.
9
What is the remainder when 121 is divided by 84/(-98) - (2 + (-2460)/28)?
36
Suppose 8105 = 13*c - 1299 - 1152. Calculate the remainder when c is divided by 19.
14
Let y = 23 + -11. Let h = -110 + -54. Let q = h - -181. What is the remainder when q is divided by y?
5
Suppose -5*b = 3*g - 101, -3*b = -0*b + 15. Let i(c) = -3*c**3 + 5*c**2 + 26*c - 36. What is the remainder when i(-5) is divided by g?
40
Let o(x) = -176*x**3 - 2*x**2 - 2*x + 2. What is the remainder when o(-2) is divided by 22?
20
Let s = -6220 + 6342. What is the remainder when 181 is divided by s?
59
Suppose 2*d = -2, 65*o + 761 = 70*o - d. Calculate the remainder when 473 is divided by o.
17
Let o(h) = 2*h**2 - 10 + 0*h**2 + 0*h - 6*h. Suppose 5*r - 3*b - 439 = 0, -5*b + 2406 = -4*r + 2752. What is the remainder when r is divided by o(7)?
43
Let u(j) = -j**3 - 15*j**2 - 25*j + 11. Let a be u(-13). Let x(i) = 33*i**2 - 2*i - 7. Calculate the remainder when x(a) is divided by 44.
41
Suppose -25*l + 864 = 52*l - 45*l. Calculate the remainder when 922 is divided by l.
4
Let k(z) = 60*z + 224. What is the remainder when 408 is divided by k(3)?
4
Suppose 44*g - 4*z = 41*g + 442, -288 = -2*g - 4*z. Calculate the remainder when 874 is divided by g.
144
Let j be (2 - 255/4) + 9/12. Let u = -104 - j. Let o = 58 + u. What is the remainder when 74 is divided by o?
14
Let t(u) = 11 - 104*u - 18*u**2 - 37*u**3 + 144*u + 36*u**3. Calculate the remainder when t(-21) is divided by 71.
68
Suppose 92*a = 96*a - 8, -5*h + 56 = -2*a. Calculate the remainder when 2446 is divided by h.
10
Calculate the remainder when ((-48)/36)/(24/(-2844)) is divided by 84.
74
Suppose 25766*g - 25739*g - 3177 = 1791. What is the remainder when g is divided by 43?
12
Let f(h) = 7*h**2 + 5*h + 6. Let j = 10 - 12. Let z be f(j). Let w = 9 + z. What is the remainder when 163 is divided by w?
31
Suppose 0*r = 6*r + 108. Let y(h) = 9*h - 1. Calculate the remainder when r/144 + 169/8 is divided by y(1).
5
Let x(n) = -4*n**3 + 38*n**2 - 16*n - 10. Suppose 60 = -2*y - 5*m, 3 = 5*y - 5*m + 188. Let q = 65 + y. What is the remainder when q is divided by x(9)?
6
Suppose 13*o - 177*o - 176*o = -113220. What is the remainder when o is divided by 327?
6
Suppose -3*u = -4*b - 1873, 0 = -8*b + 5*b + 15. Let k = u + -615. Calculate the remainder when k is divided by 6.
4
Let q be (3 + -3)/(5 + -7). Suppose -z + 7 = -4*o - 11, -z + o + 15 = q. What is the remainder when 82 is divided by z?
12
Let q(u) = -442*u + 252. What is the remainder when q(-2) is divided by 32?
16
Suppose -p = -2*i - 468, 927 = 2*p + 2*i + 3*i. Calculate the remainder when p is divided by 119.
109
Let b = -166 + 461. Let h = -139 + b. Calculate the remainder when h is divided by 53.
50
Suppose d - 512 = -5*o, 0 = 5*o - d - 318 - 200. Suppose 0 = -13*r + 9*r - n + 82, -n = 2*r - 40. Calculate the remainder when o is divided by r.
19
Let m = -962 + 623. Calculate the remainder when (-7)/(1 - 0) - m is divided by 56.
52
Suppose 0 = -t - 11 + 46. Let j(n) = 2*n**2 - 8*n + 13. Calculate the remainder when j(10) is divided by t.
28
Suppose 0 = 3*h + 5*b - 49, -5*b + b = -5*h + 20. What is the remainder when 4510 is divided by h?
6
Suppose 0 = 2*f - 107 + 11. Let d(r) = -22*r + 1129. Let c be d(53). Let k = c + f. Calculate the remainder when 34 is divided by k.
1
Suppose j = 0, 6*x + j + 120 = 8*x. What is the remainder when 543 is divided by x?
3
Suppose -3*a - 10*n = -7*n - 195, -a + 80 = 4*n. What is the remainder when 1611 is divided by a?
51
Suppose -153*p - 3*k = -157*p + 870, -5*k + 1105 = 5*p. What is the remainder when p is divided by 32?
27
Suppose -171*j = -166*j + 9*h - 5302, 1056 = j + 4*h. What is the remainder when j is divided by 71?
70
Let a = 2384 + -2014. Calculate the remainder when a is divided by 356.
14
Let v = -883 + 1356. Let p = v - 387. Calculate the remainder when p is divided by 26.
8
Suppose 32 = 3*m + r, m + 0*r = -5*r + 34. Let f(n) = 0*n**2 - 10 + n**2 - 5*n + m. What is the remainder when 88 is divided by f(8)?
19
Suppose z = -5 + 10. Suppose 44 = 4*i + 2*o, -2*i = -5*i - z*o + 33. Calculate the remainder when 118 is divided by i.
8
Suppose -316*n + 24*n + 4296 = 245*n. Suppose -5*v = -5*s - 150, s + 10 = v + 4*s. Calculate the remainder when (v/(-1) + 2)*-1 is divided by n.
7
Suppose 2*l = -0*l - p + 71, p - 3 = 0. What is the remainder when -17 - -17 - l/(-2) is divided by 6?
5
Let z(s) = -1249*s - 4989. What is the remainder when 12 is divided by z(-4)?
5
Let f = -17341 - -17342. Suppose 6 = -2*c - 3*r, -r = c - 1 + 3. Suppose 0*m = -3*m - 4*l - 5, 4*m - 2*l - 30 = c. What is the remainder whe