-7*w - 73, -5*v - 5*w - 13 + 83 = 0. Calculate the remainder when 1689 is divided by v.
17
Suppose 0 = 484*k + 2847 - 4195 - 3976. Let a(r) = r**3 + 6*r**2 + r + 1. Calculate the remainder when a(-5) is divided by k.
10
Let r(b) = 2*b**2 + 1. What is the remainder when 8 is divided by r(1)?
2
Suppose 3 - 31 = -14*m. What is the remainder when 1/m + -11*(-1)/2 is divided by -3 - -2 - (-1 + -4)?
2
What is the remainder when 230 is divided by (-216)/(-504) + (0 - (-123)/7)?
14
Let c(y) = y**3 + 6*y**2 + 6*y. Let b be c(-5). Let q(w) = -152*w + w**2 + 310*w - 3 + w**2 + 14 - 150*w. Calculate the remainder when q(b) is divided by 3.
0
Suppose -8379 = 3409*g - 3542*g. Calculate the remainder when 18898 is divided by g.
61
Let i(t) be the first derivative of t**4/4 - 13*t**3/3 - 6*t**2 - 50*t + 89. Calculate the remainder when i(15) is divided by 32.
28
What is the remainder when (-10)/(20 + -30)*(1 + 183) is divided by 83?
18
Let j be (-2 - 1166)*4/(-16). Suppose 5*f - 2*c - 322 = j, -5*f + 611 = -3*c. Calculate the remainder when f is divided by 14.
12
Suppose 18892 = -299*r + 301148. What is the remainder when r is divided by 18?
8
What is the remainder when 289 is divided by 194*((-1 - -4)/(-3))/((-28)/14)?
95
What is the remainder when (-67)/(2/7 - 441/343) is divided by 34?
33
Let m(u) = u**2 - 9*u + 15. Let f be m(7). Suppose -2*c + 3*d + 19 = 0, -3*d = -0*c + c + 13. What is the remainder when (-1632)/(-108) - f/9 is divided by c?
1
Calculate the remainder when (-15)/9*(-5 - 556) is divided by 20.
15
Suppose 19*i + 108 = -8*i. Let n(p) = -p**3 - 5*p**2 - 12*p - 9. Suppose 4*t - 88 = 2*t. Calculate the remainder when t is divided by n(i).
21
Let z = 25189 + -21915. What is the remainder when z is divided by 126?
124
Let i(u) = 12*u**2 + 106*u + 531. What is the remainder when 2213 is divided by i(-9)?
17
What is the remainder when 40/12*((-475)/(-10) + -4) is divided by -6*(-14)/(-8)*-2?
19
Suppose -5*w + 8 = 3*b, -12 = -42*w + 41*w + 2*b. Suppose 5*o - 185 - 83 = -3*z, 2*o + w*z - 96 = 0. What is the remainder when 171 is divided by o?
3
Let s(z) = 51*z + 478. Calculate the remainder when s(-3) is divided by 36.
1
Let k(u) = -u**3 + 8*u**2 + 7*u + 9. What is the remainder when k(5) is divided by 8?
7
Let v = -9341 + 16984. Calculate the remainder when v is divided by 32.
27
Suppose 26352 = 159*f + 390*f. What is the remainder when f is divided by 1/(33/(-17) + 2)?
14
Let o = 2766 - 2539. Calculate the remainder when o is divided by 47.
39
Let c(r) = 1559*r + 6740. What is the remainder when c(-3) is divided by 61?
50
Suppose -74 + 98 = 4*r. Suppose -h + 3*q - r*q + 91 = 0, -h = 4*q - 89. What is the remainder when h is divided by 46?
5
Let s(q) be the first derivative of 5*q**2/2 - 78*q - 42. What is the remainder when 14 is divided by s(17)?
0
Let x = 4062 + -4069. Let p(o) = -3*o**2 + 4*o + 5. Let a be p(-5). Calculate the remainder when x/((-28)/a)*(-8)/5 is divided by 21.
15
Let x(k) = -k**3 + 15*k**2 + 14*k + 17. Let m be x(16). Calculate the remainder when (-9 - m)/6*70 is divided by 51.
19
Let q be (4 + 0)*8/4. Suppose q*c - 320 = 8. Suppose 47 = 2*i - c. Calculate the remainder when i is divided by 16.
12
Let z(j) = -j**3 + 11*j**2 + 2*j - 15. Let i(k) = -k - 2. Let t = 32 + -45. Let l be i(t). Calculate the remainder when 13 is divided by z(l).
6
Suppose c - 5*c + 56 = m, -116 = -2*m - 4*c. Calculate the remainder when m is divided by (4/10)/(116/20) + (-4775)/(-145).
27
Let m(r) = 45*r**2 + 53*r - 44. Calculate the remainder when 87 is divided by m(1).
33
Let p(y) = 42*y + 377. Calculate the remainder when p(15) is divided by 22.
17
Let v be 6180/28 + 2/7. Suppose 8*r - 9*r + 5*z + 212 = 0, -v = -r + 2*z. What is the remainder when r is divided by 57?
56
Let q(m) = -2*m**3 + 22*m**2 + 30*m - 21. Let i be q(12). Suppose -49*z = -i*z + 18. Calculate the remainder when 68 is divided by z.
5
Let s = 47 - 42. Suppose s*p + p - 144 = 0. Suppose 0*u - 4*u + 38 = -2*i, -3*u + 5*i + 32 = 0. What is the remainder when p is divided by u?
6
Suppose 80*t - 11078 = 2793 - 191. What is the remainder when 2078 is divided by t?
26
Suppose 4*t - 4*b - 368 = 0, -69*t - 6*b - 370 = -73*t. What is the remainder when 4276 is divided by t?
90
Let i = -8382 + 8507. Calculate the remainder when i is divided by 123.
2
Let y(x) = -3*x**3 - 100*x**2 + 68*x + 22. Let g(t) = -t**2 + 15*t + 5. What is the remainder when g(12) is divided by y(-34)?
19
Let f = -3960 - -4015. Let d(v) = -27*v**3 + v**2 + v - 1. What is the remainder when d(-2) is divided by f?
52
Let k(h) = 22*h**2 + 66*h - 148. What is the remainder when k(5) is divided by 259?
214
Let v = -681 - -790. What is the remainder when 646 is divided by v?
101
Let u = -745 - -515. Let g = u + 349. Calculate the remainder when g is divided by 45.
29
Let w = -426 + 110. Let j = w - -335. Calculate the remainder when 43 is divided by j.
5
Let h = 417 - 412. Suppose -2*r + 477 = -h*c, r + 3*c - 175 - 58 = 0. Calculate the remainder when r is divided by 65.
41
Suppose -5*r + 3*n - 7 = 81, 0 = 5*n + 20. Let z(l) = 2*l**2 - 3*l - 4. Let k be z(-5). Let b = k + r. What is the remainder when 161 is divided by b?
38
Let m = 1838 + -1828. Suppose 3*j + 4*r = 31, -3*r - 3 = -15. Calculate the remainder when m is divided by j.
0
Suppose 89*f = -46*f + 2430. Suppose d + 3 = 9. What is the remainder when f is divided by d?
0
Let g = 130 - 98. Suppose -g + 36 = 2*o. Suppose 3*w - 51 = 4*y, -o*w + 51 = -2*y + 5*y. Calculate the remainder when 35 is divided by w.
14
Let c = 6 + -8. Let v(d) = -8*d + 2. What is the remainder when (-4)/6*(-7920)/160 is divided by v(c)?
15
Suppose -2*y - 2*n = -3*y - 3, n - 19 = -3*y. Calculate the remainder when ((-6)/(-30) + (-168)/140)*-6 is divided by y.
1
Suppose 0 = 664*n - 674*n + 470. Let k = -146 - -211. Suppose 2*d + k = 3*v, 4*v + 3*d - n = 17. What is the remainder when v is divided by 8?
3
Let b be ((-16)/(-6))/(-5 + 68/12). Suppose -2*n = -6*n + 2*a + 740, 4*n - 748 = b*a. What is the remainder when n is divided by 31?
28
Let l(t) = -4*t - 3. Suppose 0 = -28*p + 20*p - 40. Let w(g) = 2*g**2 + 2*g - 11. What is the remainder when w(p) is divided by l(-5)?
12
Let s(q) = 101*q - 1928. Let b = 3 + 0. Suppose 87 = b*z + 5*a, -z + 4*a + 9 = -a. What is the remainder when s(20) is divided by z?
20
Let d(u) = 14*u**3 - 8*u**2 + 27*u - 31. Calculate the remainder when d(2) is divided by 11.
4
Suppose -2*z + 36 = -0*w - 3*w, 0 = -5*z - 3*w + 90. What is the remainder when 6120/17 - (-15 - (-9 - 8)) is divided by z?
16
Suppose 2*p - 36 + 6 = 0. Let v(h) = -6*h**3 + 3*h**2 + 11*h**2 + 9*h**2 + 4*h**3 + h**3 + 26*h - 38. Calculate the remainder when p is divided by v(24).
5
Suppose -180*g = -2027 - 25153. Calculate the remainder when g is divided by 109.
42
Let u(n) = 45 + 5 - 6*n + 10*n - 6*n. What is the remainder when u(7) is divided by 16?
4
Let c(a) = a**2 + 21*a + 45. Let j(g) = 3 - 5 + 0 - 10*g. What is the remainder when j(-5) is divided by c(-20)?
23
Let z = -16 - -20. Suppose -48 = -3*p - z*d + 33, -5*p = 2*d - 149. Calculate the remainder when 3/24 + 1413/24 is divided by p.
28
Suppose 2*b + c = -25, 3*b - 2*c + 13 = -7. Calculate the remainder when ((-1313)/(-39) - b) + 4/(-6) is divided by 15.
13
Suppose 0 = -c - g + 7, -3*g = 5*c - 5*g - 14. Suppose 0 = 5*l - 5, -c*l + 321 = 5*k + 37. What is the remainder when 223 is divided by k?
55
Let f = -239 - -252. Let c = -449 + 760. What is the remainder when c is divided by f?
12
What is the remainder when 1462 is divided by 4/(-6)*(-459)/(-51) - 54/(-3)?
10
Suppose -20 - 15 = -3*i + 5*d, -5*d = -4*i + 40. Suppose -43 = -i*p - 3. Let k(j) = 5*j + 332. Calculate the remainder when k(-62) is divided by p.
6
Suppose -477*i = -482*i + 3*s + 2241, 0 = 2*s + 4. What is the remainder when i is divided by 121?
84
Suppose -4*j + 2*u + 84 = 0, -5*u = -47*j + 52*j - 105. What is the remainder when 2026 is divided by j?
10
Suppose -16*a = -86 + 54. What is the remainder when 57 is divided by a?
1
Let i(k) = 3*k**2 - k + 3. Let q be i(0). Suppose -q*a - 50 = -92. Calculate the remainder when 44 is divided by a.
2
Let b(f) = -f**2 + 14*f + 2. Let g be b(16). What is the remainder when 165 is divided by g/(2 - (0 + 3))?
15
Calculate the remaind