- 424. Let r = 262 - d. Calculate the remainder when r is divided by g(-12).
13
Let v(w) = -2*w**3 - 11*w**2 + 4*w + 9. Let z be v(-6). Suppose z*m - 11*m = 310. Calculate the remainder when 185 is divided by m.
30
Let x(d) = 334*d - 783. Calculate the remainder when x(7) is divided by 130.
125
Let a(c) = c**2 - c + 317. Let s be a(0). Let r = -291 + s. What is the remainder when 72 is divided by r?
20
Let t(w) = 96*w + 592. What is the remainder when 1834 is divided by t(-6)?
10
Let i = -29880 - -29895. Calculate the remainder when 81 is divided by i.
6
Suppose -8*a - 25 = -9*a. Suppose -a = -b + 36. Let x = -3779 + 3787. What is the remainder when b is divided by x?
5
Suppose 84 = 2*m - 140. Let a be ((-21)/28)/((-2)/m). Let b = a - 36. What is the remainder when 21 is divided by b?
3
Let v(o) = 3*o**2 - 45*o + 20. Let d be v(16). Suppose -36 = -8*w + d. What is the remainder when 38 is divided by w?
12
Let q(c) = -157*c + 1293. Calculate the remainder when q(4) is divided by 201.
62
Let b(l) be the third derivative of 3*l**3 - 46*l**2 + 7/24*l**4 + 0*l + 0 - 1/60*l**5. What is the remainder when 70 is divided by b(0)?
16
Let x = 7989 + -7822. Calculate the remainder when 593 is divided by x.
92
Let i = 5338 + -5286. What is the remainder when 612 is divided by i?
40
Suppose -n - 459 = 5*k, 3*n - n = -5*k - 923. Let c = 1420 - n. Calculate the remainder when 124 is divided by (-4)/(-30) + c/45.
40
Suppose -3*y + 180 = -12*y. Let w be (-51)/(-2) - (-10)/y. Suppose 21*a + 332 = w*a. Calculate the remainder when a is divided by 21.
20
Let a be (-8)/(-7)*(-42)/(-12) - -449. Suppose -197 = 4*y - a. Calculate the remainder when y is divided by 3*22*(-2)/(-6).
20
Let i = 5596 - 5569. Calculate the remainder when 915 is divided by i.
24
Suppose -4 - 23 = 9*l. Let p(b) = -3*b - 7. What is the remainder when (-23)/1*(-4 - l) is divided by p(-5)?
7
Let o = 112 - -36. Suppose -3*b = 2*l - 1348, -b + 5*l + 273 = -o. What is the remainder when b is divided by 16?
14
Suppose -3*h = 3*t + 3, 4*h - 2*h = 5*t - 16. What is the remainder when 8 is divided by (1 + 0)*(2 + -3 + t)?
0
Suppose 6*c + 865 = -251. What is the remainder when 82 is divided by (112/12 - 8)/((-8)/c)?
20
Let d(k) = -2*k - 2. Let v be d(9). Let m(g) = g**2 + 19*g - 7. Calculate the remainder when 63 is divided by m(v).
11
Let i = 32550 - 32539. Calculate the remainder when (1 - 1) + (39 - -1) is divided by i.
7
Suppose 541*d + 414 - 40904 = -2079. Let m = -8 + 13. Suppose 3*p = 2*y + 78, -m*p = 4*y - 3*y - 117. Calculate the remainder when d is divided by p.
23
Suppose -87*x - 71*x - 243*x + 17914 = -65093. Suppose 4*n + 129 = 7*n. What is the remainder when x is divided by n?
35
Let j = 63 + -38. Let u(g) = 35*g**2 + 159*g + 19. What is the remainder when u(-5) is divided by j?
24
Let n(a) = a + 21. Let u be n(-11). Let r be 7/28*(u - -2). Suppose -3*p + 4*m + 59 = 0, -4*p = -2*m + r*m - 85. What is the remainder when p is divided by 14?
7
Let x(a) = -a**3 + 8*a**2 + 20*a - 30. Calculate the remainder when 272 is divided by x(9).
65
Suppose 3912 - 5662 = -7*v. Calculate the remainder when v is divided by 74.
28
Let c = -393 - -405. What is the remainder when 57 is divided by c?
9
Let r = 24 - 1. Suppose 3*b - 2*p = -26 + 94, -180 = -5*b - 5*p. Suppose 3*q + y = 153, -b - r = -q + 5*y. Calculate the remainder when q is divided by 27.
24
Let q(j) = -j - 5. Let y be q(-5). Suppose 35*c + 52 = 38*c - z, 0 = z + 7. Calculate the remainder when 73 + y + (0 - 0) is divided by c.
13
Let z = 10739 - 10672. Calculate the remainder when 78 is divided by z.
11
Suppose -75 = 4*s - 327. Let i = 1979 - 1605. Calculate the remainder when i is divided by s.
59
Let y = -1944 - -2881. Calculate the remainder when y is divided by 10.
7
Let d = 117 + 25. Suppose 3*k = k + d. Let j(y) = y**2 - 16*y - 143. Calculate the remainder when k is divided by j(-7).
17
Let x = -34 - -26. Let n = x + 10. Suppose -4 + 9 = -a, -n*a + 110 = 5*v. What is the remainder when v is divided by 11?
2
Let b(m) = 58*m + 1. Suppose 968 = 68*l - 623 - 2421. Calculate the remainder when b(2) is divided by l.
58
Let w = -198 - -172. Let h = 52 + w. Calculate the remainder when 96 is divided by h.
18
Let w = 9 + 5. Suppose -6*f - 24 = -7*f. Let z = 75 - f. Calculate the remainder when z is divided by w.
9
Let s be -4 + 6 + (1 - -1). Suppose 189*z - 204*z + 315 = 0. What is the remainder when 124/(-6)*(1 - s) is divided by z?
20
What is the remainder when 599 is divided by (192/(-96))/((-5)/190)?
67
Let o(f) = 2*f**2 - 74*f + 2. Let p be o(37). Calculate the remainder when 442 is divided by 0 - (-178)/p - (-26 + 26).
86
Let w = 111 + -122. Let g(c) = -c**2 - 13*c - 6. Calculate the remainder when 2/(-11) - 519/(-11) is divided by g(w).
15
Suppose -q - 38*l + 43*l + 58 = 0, 2*l + 142 = 4*q. What is the remainder when 71 is divided by q?
5
Suppose -3*m + 708 = 4*x, 3*m - 13*x = -9*x + 732. Suppose -8*k - m = -752. What is the remainder when k is divided by 23?
18
Let q = -5 + 9. Suppose i - 4*r - 58 - 16 = 0, 0 = -5*r - 10. What is the remainder when i is divided by q?
2
Let b be (-4)/(-6)*(-9)/(-2). Suppose -363 = -5*z + 2*z + 3*l, -l = -b*z + 367. What is the remainder when z is divided by (1 - -4) + (-40)/10 + 30?
30
Let g = 532 + -895. Let i = g + 373. What is the remainder when 37 is divided by i?
7
Let d(a) = a**2 + 11*a - 36. Let c be d(3). Suppose -5*l + u + 894 = 0, 0 = 2*l + c*u - u - 363. What is the remainder when l is divided by 23?
18
Let u = -2110 + 4556. What is the remainder when u is divided by 48?
46
Suppose 0 = b + 6, -525*b - 527 = -v - 526*b. What is the remainder when v is divided by 266?
1
Let o(u) = 26*u**2 + 365*u + 27. What is the remainder when 180 is divided by o(-14)?
11
Suppose -y - y + 28 = 0. What is the remainder when (9 - 0)*(7 + 8 + -7 + 4) is divided by y?
10
Suppose -9778 = 83*i - 50894 - 44208. What is the remainder when i is divided by 165?
38
Let i(l) = 15*l**2 + l. Let n(r) = -7*r**3 - r**2 - r - 1. Let f be n(-1). Let s be ((-1)/(-3))/((-2)/f). Calculate the remainder when 39 is divided by i(s).
11
Let y(k) = -5*k - 13. Let l(w) = 11*w + 27. Let d(s) = -4*l(s) - 9*y(s). Calculate the remainder when 25 is divided by d(-2).
4
Suppose 4*t - 3*i = 163, -3*t + 106 = -15*i + 16*i. Calculate the remainder when 177 is divided by t.
29
Suppose -3412 = 3*n + 2*y, -y - 1963 = -4*n - 6527. Let b = -1137 - n. Suppose x - 3*r + 36 = 4*x, 3*x - 44 = -r. What is the remainder when x is divided by b?
1
Let p = -2367 - -2645. Let j(t) = -3*t - 4. What is the remainder when p is divided by j(-8)?
18
Let u be (29 - -77) + (1 - 5). Let i = 99 - u. Calculate the remainder when 16 is divided by (-2)/(-3) - (-1 - (-37)/i).
2
Suppose -6081 = -35*c + 45264. Calculate the remainder when c is divided by 13.
11
Let m(s) = -s**3 + s**2 - s - 54. Let w be m(0). What is the remainder when (-2)/(w/45)*(-1 + 112) is divided by 22?
9
Suppose -r - 32 = 49. Let v = r + 160. Calculate the remainder when v is divided by 15.
4
Suppose -2*m - y + 2930 = 4*y, -5*m - 5*y = -7295. What is the remainder when m is divided by 9?
6
Suppose -4128 - 497 = -37*a. What is the remainder when a is divided by 22?
15
Let o = 680 + -556. Suppose 3*g - 7*i = -11*i + o, 0 = 3*i - 12. Calculate the remainder when 69 is divided by g.
33
Let b = -228 - -15. Let t = b + 431. What is the remainder when t is divided by 56?
50
What is the remainder when 295 - (84/(-6))/14 is divided by 9?
8
Let l(n) = -n**3 - 5*n**2 - 5*n - 6. Calculate the remainder when l(-5) is divided by 12 + (-792)/180 + 2/5.
3
Let c(m) = m**3 + 9*m**2 + m - 31. Calculate the remainder when c(-5) is divided by 26.
12
Suppose -2*m - 3*r = -7*m + 132, -3*m = 4*r - 85. Let b(v) = -v + 23. Let d be b(13). Suppose 9*j - d*j + 80 = 0. What is the remainder when j is divided by m?
26
Let i(d) = -d**3 + 30*d**2 - 59*d + 100. What is the remainder when 7262 is divided by i(28)?
14
Let r be (9/(-12) - 0)*-140. Suppose 0 = -3*m + r + 240. Suppose 2*p - 19 = m. What is the remainder when p is divided by 17?
16
Suppose 0 = -903*w + 901*w + 5*r + 321, 2*r = -3*w + 510. What is the remainder when 6045 is divided by w?
165
Let a(q) = 2*q**2 + 2*q - 13. Let i(w) = 5*w**2 - 7*w + 10. Calculate the remain