*v = 1120*n + 837, -2*n + 209 = v. Calculate the remainder when n is divided by k(6).
34
Let z = 83 + -43. Suppose 0*t = -7*t + 42. Calculate the remainder when (0/t + 5)*234/10 is divided by z.
37
Suppose 2*k = 5*z - 890, 2*z + 132 = k + 489. Calculate the remainder when z is divided by 49.
29
Let q(i) be the third derivative of -11*i**2 - 8/3*i**3 + 1/8*i**4 + 0*i + 0. What is the remainder when 19 is divided by q(7)?
4
Let i be 4/(4 + 1 + -3). Let n be i*-2 - (-589 - (2 + -2)). Suppose -z + 4*z = n. What is the remainder when z is divided by 22?
19
Let q(s) = -s**3 + 4*s**2 + 52*s + 10. What is the remainder when 4451 is divided by q(9)?
71
Suppose -4*c = 5*v - c + 4, -4*v - 5*c - 11 = 0. Suppose v = -14*j + 13*j, 105 = 2*o - 5*j. What is the remainder when o is divided by 28?
22
Let a(w) = 2*w + 31. Let q = -51 + 55. Suppose j = 2*f + 10, -j - q*f + 50 = 2*j. What is the remainder when a(10) is divided by j?
9
Let p = -113 - -123. Let x = 86 + -29. What is the remainder when -1 - p/(-6) - 10100/(-60) is divided by x?
55
Suppose 8*a = 862 + 2994. Suppose 2*c = 3*y + 145, 4*c - a = 3*y - 195. What is the remainder when 140 is divided by c?
69
Let f = -612 - -613. What is the remainder when 36 is divided by 90/(-27)*f*-3?
6
Let m(n) = 18*n - 239. Suppose -1491 - 373 = -4*x. Calculate the remainder when x is divided by m(14).
11
Let j be (5 - 693/135) + (-13)/15. Calculate the remainder when 178 is divided by (14*j + -1)/(3/(-9)).
43
Let c = 80 - 60. Suppose 0 = 4*o - c, q + 0*o - 5*o = -20. Suppose -q*m - v = -6 - 21, 5*m - 23 = v. What is the remainder when 8 is divided by m?
3
Suppose 16*n - 39*n = 16*n - 15054. What is the remainder when n is divided by 176?
34
Let f = -223 - -10. Let a = f - -746. Suppose 5*q - 453 = -4*j, -4*j + a = 4*q + 77. Calculate the remainder when j is divided by 30.
27
Let m(u) = -27*u - 176. Let t be m(-7). Suppose l - 5*z = 20, -5*l - 3*z + 80 = -l. What is the remainder when (567/45 - t) + (-784)/(-10) is divided by l?
18
Let y = -13582 - -14486. What is the remainder when y is divided by 136?
88
Let p(w) = -297*w - 127. Calculate the remainder when p(-1) is divided by 14 - (-25)/15*3.
18
Suppose 105 = -9*p - 147. Let g be 0*p/8*(-2)/14. Suppose g = -23*a + 19*a + 288. What is the remainder when a is divided by 20?
12
Let y = 11247 + -10506. What is the remainder when 2233 is divided by y?
10
Suppose -24014 - 35059 = -87*a. What is the remainder when a is divided by 94?
21
Let t(d) = 8*d**3 - d**2 - 5*d + 8. Let x = -8 - -11. Calculate the remainder when t(x) is divided by 29.
26
Let g(s) be the third derivative of -3*s**4/8 - 5*s**3 - 33*s**2. Let f be g(-16). Let i = 169 - f. Calculate the remainder when i is divided by 16.
7
Let t(g) = g**3 - 49*g**2 + 89*g + 308. Let s = -35 - -56. Calculate the remainder when t(47) is divided by s.
10
Suppose 58*i = 56*i - 76. Let u = 43 + i. Let p = -16 + 20. What is the remainder when u is divided by p?
1
Let a = -233 + 313. Suppose 10*y + a = 15*y. What is the remainder when 91 is divided by y?
11
Suppose 0 = 14*n - 793 - 47. Let q(m) = 4*m**2 + 4*m - 4. Let a be q(5). What is the remainder when (2 + a + 0)/1 is divided by n?
58
Let q(k) = 50*k**3 - 6*k**2 + 3*k + 39. Calculate the remainder when q(5) is divided by 32.
10
Let l(c) = 5*c**3 - 98*c**2 - 29*c + 17. What is the remainder when l(20) is divided by 232?
5
What is the remainder when 2572/2*(3/(-24))/(3/(-12)) is divided by 68?
31
Suppose -366*i - 6783 = -499*i. Calculate the remainder when 3414 is divided by i.
48
Let y(x) = -284*x**2 - 9*x - 16. Let v(g) = -283*g**2 - 10*g - 15. Let t(u) = -3*v(u) + 2*y(u). What is the remainder when t(-1) is divided by 19?
16
Suppose 18*c + 3701 = -2545. Let m = c - -362. Calculate the remainder when 68 is divided by m.
8
Suppose 0 = -k - k + 496 + 324. What is the remainder when k is divided by 97?
22
Let z(u) = -3*u**3 - 10*u**2 - 47*u - 12. Calculate the remainder when 953 is divided by z(-3).
113
Suppose -2197 = -12*z - 1069. Calculate the remainder when z is divided by 9.
4
Suppose -5*o = -5*k - 440 + 75, 0 = -o. Let d be 9*3/9 - 113. Let c = k - d. Calculate the remainder when c is divided by 19.
18
Let z = -1968 - -8084. What is the remainder when z is divided by 211?
208
Let q = -4496 - -7113. Calculate the remainder when q is divided by 119.
118
Let r be (-3)/(-3) + -1 - (6 + -3). Let u(x) = -24*x - 16. Calculate the remainder when u(r) is divided by 12.
8
Let r = -4991 - -5032. What is the remainder when 204 is divided by r?
40
Let u(c) = -c**3 - 5*c**2 + 5. Let j = 28365 + -28357. What is the remainder when j is divided by u(-5)?
3
Let d(y) = y**3 - 88*y**2 + 853*y - 24. Calculate the remainder when 932 is divided by d(11).
8
Suppose 37*y - 83 = 28. What is the remainder when 282 is divided by 4576/65 + y/5?
69
Suppose -14*a - 1044 = -26*a. Suppose -9 - 35 = -2*j. Suppose h - a = j. What is the remainder when h is divided by 14?
11
Let r be (-7)/(-14) - (-3)/(-6). Suppose h - 2*h + 3 = r. Calculate the remainder when 47 is divided by h.
2
Suppose 3711 = -13*s + 4803. Suppose 0 = 2*k - 7*k + 55. What is the remainder when s is divided by k?
7
Let s(q) = 4*q**2 - 584*q + 283. What is the remainder when s(148) is divided by 30?
27
Let z be 2/10 + (-2)/10. Suppose -x - 5*m + 0 + 28 = z, 2*x = 5*m - 19. Calculate the remainder when 62 is divided by x.
2
Suppose -48*g - 5*g = 26*g - 52219. What is the remainder when g is divided by 166?
163
Suppose 177*t - 12324 = 273*t - 148*t. What is the remainder when 760 is divided by t?
49
Let r(l) = 1898*l**2 + 496*l - 495. Calculate the remainder when r(1) is divided by 119.
114
Let n be (-20)/(-50)*-10*-2. Suppose -743 = -n*m + 489. What is the remainder when m is divided by (-52)/((0 + -2)/2)?
50
Let j be 0 - (12 + -14 - (0 + 271)). Suppose 5*g + 4*i + j = 0, 0*g - 4*i - 102 = 2*g. Let l = -27 - g. Calculate the remainder when 147 is divided by l.
27
What is the remainder when 4087 is divided by (-408)/(-9 + 26) + 54?
7
Suppose -2002 = -11*i + 25*i. Let x = -120 - i. Calculate the remainder when 58 is divided by x.
12
Suppose -2*x + 104 = 3*u, -113*x - 84 = -3*u - 110*x. What is the remainder when 767 is divided by u?
31
Let a = -2826 - -2928. What is the remainder when 1313 is divided by a?
89
Suppose 0*c = 2*c - 158. Suppose -33*p + 332 + 724 = 0. What is the remainder when c is divided by p?
15
Let w(f) = 6*f + 26. What is the remainder when 511 is divided by w(19)?
91
Suppose 0 = -5*l - 11*l + 1984. Let n = 151 - l. Calculate the remainder when 75 is divided by n.
21
Let r(h) = h**3 + 12*h**2 - h + 3. What is the remainder when 330 is divided by r(-12)?
0
Let i(x) = -x**2 - 1938*x - 9660. Calculate the remainder when 696 is divided by i(-5).
1
Suppose 506 + 1594 = 84*s. What is the remainder when (-193)/(-4) - (-1)/(-4) is divided by s?
23
Suppose 3*h + 15 = 2*i, -4*i + 4*h + 14 + 6 = 0. Let l(r) = i + 3 - 4 + 4*r + 2*r. Calculate the remainder when l(4) is divided by 4.
3
Let p = -233 - -78. Let m = 167 + p. Calculate the remainder when 71 is divided by m.
11
Let j(f) = 2 + f**2 - 45*f + 115*f - 53*f + 81. Suppose 0 = z + 2*h - 120 - 63, 4*h = 2*z - 374. What is the remainder when z is divided by j(-9)?
9
Suppose 72*o - 3124 = 23*o - 282. What is the remainder when 10787 is divided by o?
57
Let u(h) = h**3 + 6*h**2 - 3*h + 28. Let y be u(-7). Suppose 3*x - 175 = -0*p + 2*p, 2*x + 2*p - 100 = y. What is the remainder when x is divided by 30?
25
Suppose 7*v = -54 + 26. Let d(n) = -n**2 - 8*n - 13. Calculate the remainder when 37 is divided by d(v).
1
Let n = 1844 - 1822. Calculate the remainder when 434 is divided by n.
16
Suppose 5*w = -2*c + 1426 + 99, c - 2*w - 749 = 0. What is the remainder when c is divided by 127?
120
Suppose -4*j = -2*l - 54, -4*j + 59 = -0*l - 3*l. Let w = -157 + 147. What is the remainder when 4/(-10) - (2 + 454/w) is divided by j?
10
Suppose 4*a + 0*a = -2*a. Suppose a = 5*d - 3*n - 412, 161 = -3*d + 5*d - 5*n. Calculate the remainder when d is divided by 30.
23
Suppose -7*k + 31*k - 2956 - 92 = 0. Calculate the remainder when 274 is divided by k.
20
Suppose -21*k = 65*k + 6293 - 42929. What is the remainder when k is divided by 57?
27
Suppose -1232 = -2*v + 3*u, 0 = 4*v + 9*u - 4*u - 2442. W