3*r - 2*k, -4*r + 5*k = -53. Let x(j) = -2*j**2 + 20*j - 24. What is the remainder when 89 is divided by x(r)?
17
Calculate the remainder when 28286 is divided by (433 + -432)/((-99)/51 - -2).
15
Let c(x) = 29*x - 2. Let h(u) = u**2 - 15*u + 15. Let s be h(14). Let g be c(s). Suppose 29*k = g*k + 106. What is the remainder when k is divided by 8?
5
Let i(q) = -2 - 186*q**3 + 0 - 12*q + 4 - 3*q**2 + 189*q**3. Calculate the remainder when 113 is divided by i(3).
13
Let w(g) = 728*g + 6 + 45 - 724*g. Let y = 51 - 25. What is the remainder when y is divided by w(-9)?
11
Calculate the remainder when 1629 is divided by 1*166 + ((-87)/3 - -17).
89
Suppose -235 = 17*k - 1935. Suppose -s + 0*h + h + 58 = 0, -s - 3*h + 62 = 0. Let r = k + s. Calculate the remainder when r is divided by 18.
15
Let x = -5 - -31. Calculate the remainder when x is divided by (-1)/((-4)/(-44))*(-18)/33.
2
Let r = 303 + -293. What is the remainder when ((r - 14) + 74/4)*6 is divided by 22?
21
Suppose -16 = -4*g - 56. Let m be (45/g)/(-3)*6. Suppose -m*d - 46 = -127. What is the remainder when 62 is divided by d?
8
Let m be ((-1)/2)/((-14)/7868). Let v = m + -206. What is the remainder when v is divided by 41?
34
Let b(k) = 67*k**2 + 570*k + 561. Let s = -29 - -49. Calculate the remainder when b(-1) is divided by s.
18
Let a(y) = 12*y + 115. Let r be a(0). Suppose 0 = -2*v - j + 6*j + 39, 5*v + 5*j = r. Calculate the remainder when 105 is divided by v.
17
Let r(h) = -3*h - 4. Let y = -35 - -41. Let m = y + -16. What is the remainder when r(m) is divided by 15?
11
Let a(x) = -4*x**2 + 4 + 1 - 7 + 7*x**2. Suppose -2*w - 2*c - 17 = 3*w, -3*c - 15 = 4*w. What is the remainder when a(w) is divided by 14?
11
Let o = -18071 - -18087. Suppose -5*q = -4*x - 4469, 4*q - 1788 = 2*q + 2*x. Calculate the remainder when q is divided by o.
13
Suppose -5*w + 476 = 401. Calculate the remainder when ((-1)/(-12)*8)/(2/60) is divided by w.
5
Let g = 76 - -288. Let s = 387 - g. Suppose 4*y + 2*k - 281 = -23, 5*k = 5*y - 360. What is the remainder when y is divided by s?
21
Let k(r) = -121*r + 6. Suppose -59 = 5*z + 56 - 70, 0 = -5*d - 0*z - 5*z. What is the remainder when k(-5) is divided by d?
8
Suppose -142*x = -26474 + 4322. Calculate the remainder when 609 is divided by x.
141
Let y = 27 + 63. Let s be 723/6 - 6/12. Suppose -5*q = -5*x - s, 4*x + 14 + 105 = 5*q. Calculate the remainder when y is divided by q.
21
Let b(i) = 4*i**2 - i. Let j = 109 - 116. Calculate the remainder when (-76)/(-133) - 52/j is divided by b(-1).
3
Suppose -6381 = -42*p - 879. Calculate the remainder when 4715 is divided by p.
130
What is the remainder when 1546 is divided by (-821 - -29)/(-6) + (-3)/(0 + 1)?
127
Suppose -28*g - g + 14819 = 0. Suppose 0 = 14*z - g + 49. What is the remainder when 56 is divided by z?
23
Calculate the remainder when 718 is divided by ((-6)/(-2))/((144/(-368))/(-3)).
5
Suppose 6536 = 3*i - 7444. What is the remainder when i is divided by 126?
124
Suppose 0 = 6*n - 3*n - c - 37, 4*c = 2*n - 18. What is the remainder when (18 - (-83 - -5)) + -6 is divided by n?
12
Calculate the remainder when 9/(-5) - ((-439314)/255 - 33) is divided by 41.
32
Let c(o) = o + 24. Let n = 120 + -126. Let k be c(n). Suppose 2*t - 3*y = 38 + k, 4 = -2*y. Calculate the remainder when t is divided by 14.
11
Suppose 56*y - 407 + 127 = 0. Calculate the remainder when 75 is divided by y.
0
Suppose 4*w - 812 = 9*x, 0 = 59*w - 55*w + 2*x - 856. Calculate the remainder when 222 is divided by w.
10
Let f = -25 + 15. Calculate the remainder when ((120/(-25))/4)/(12/(-200)) is divided by f*(-2 + (-21)/(-12))*2.
0
Let o(q) = 24*q + 92. Let b(p) = 3*p. Let j(d) = -5*b(d) + o(d). Calculate the remainder when 75 is divided by j(-6).
37
Let z(i) = -41*i - 29. Let j be z(-2). Suppose -j = 2*q - 177. What is the remainder when q is divided by 7?
6
Let c(u) = 30*u**2 + 75*u + 144. Calculate the remainder when 1252 is divided by c(-2).
112
Let k(x) = -x**2 - 11*x + 9. Let b(j) = 5*j - 13. Let t(s) = 11*s - 26. Let q(o) = 13*b(o) - 6*t(o). What is the remainder when k(-4) is divided by q(-23)?
7
Let s(r) = 19*r + 19. Let t(w) = -9*w - 10. Let a(o) = 6*s(o) + 11*t(o). Calculate the remainder when a(5) is divided by 32.
15
Let y(k) = 71*k + 62. Let n be y(7). Let m = n + -451. What is the remainder when m is divided by 63?
45
Suppose 0*w - 5 = -w. Suppose c = -w*c + 24. Suppose -v - 86 = -2*f, c*f - 3*f - 42 = v. Calculate the remainder when f is divided by 23.
21
Calculate the remainder when (-35)/14*148/(-10) is divided by 2.
1
Let q(l) = l**3 - 16*l**2 + 11*l + 10. Let z be q(15). Let v = -46 - z. Let m = v - -150. Calculate the remainder when m is divided by 39.
37
Suppose 326 + 123 = 15*s - 301. What is the remainder when 234 is divided by s?
34
Suppose 349 + 438 = 11*c - 2051. What is the remainder when 1304 is divided by c?
14
Let v = 30794 - 30787. Let i(k) = 2*k + 8. Let f be i(8). Suppose -3*n + f + 51 = 0. Calculate the remainder when n is divided by v.
4
Suppose -4*n = 0, 25*j + 4*n + 12 = 26*j. Let f = -134 - -516. Calculate the remainder when f is divided by j.
10
Suppose -3*h = 4*a - 4437, 2*a - 5520 = -3*a + 5*h. Calculate the remainder when a is divided by 18.
9
Let g(l) = -108*l - 219. Calculate the remainder when g(-4) is divided by 57.
42
Let n = 246 + -258. Let j(m) be the first derivative of -m**4/4 - 13*m**3/3 - 7*m**2 + 10*m - 5. What is the remainder when j(n) is divided by 18?
16
Suppose -44*n + 4084 = 1400. Calculate the remainder when 607 is divided by n.
58
Let b = -88 - -93. Suppose -10*l + b = -5*l. What is the remainder when (-38*l)/((-7)/14*2) is divided by 21?
17
Calculate the remainder when 1365 is divided by (-55)/297*(-6)/5 - (-3095)/45.
54
Let z = 116 - 111. Suppose 0 = z*t - h - 1093, 0*t - 3*h + 863 = 4*t. Calculate the remainder when t is divided by 44.
42
Suppose 3*x = 4*o - 0*x - 2, 2*o - 4*x + 4 = 0. Suppose -o*q = -4*j - 34, 73 = 5*q + 3*j - j. What is the remainder when 58 is divided by q?
13
Let l be (-3 + 2)*2 + (7 - 0). Let n(m) = l*m**2 + 325*m + m**3 + 7 - 162*m - 161*m. Calculate the remainder when 113 is divided by n(-3).
18
Let j(k) = k**3 - 10*k**2 + 21*k - 22. Let v be j(8). Suppose l = -4*c + v, 13*c - 10*c + 6 = 0. What is the remainder when l is divided by 78/10 - (-2)/10?
2
Let n be 18/4*(-20)/(-45). Let a(b) = -5*b + 11*b**n - b**3 + 7 - 6*b + b + 0*b**2. What is the remainder when 37 is divided by a(10)?
2
Suppose 0 = 2*d - 4*x - 6 - 258, d - x - 127 = 0. Calculate the remainder when d is divided by 16.
10
Let n(g) = g**3 + 11*g**2 + 10*g. Let c be n(-10). Suppose -3*a + c*p = 3*p - 3, 0 = -2*p - 6. What is the remainder when a/(-20) + 271/5 + 3 is divided by 12?
9
Let u = 26984 + -26893. What is the remainder when 345 is divided by u?
72
Calculate the remainder when (2050/(-8))/((-78)/312) is divided by 147.
143
Suppose -88*w + 6500 = 37*w. Calculate the remainder when 96 is divided by w.
44
Let n be (23*-3)/(13 - (-889)/(-70)). Let v = n - -414. What is the remainder when v is divided by 90?
4
Suppose -40*o + 104 = -1536. What is the remainder when o is divided by 17?
7
Let h(v) = 463*v**2 + 2*v - 1. Let m be h(1). Let q = m - 411. What is the remainder when 476 is divided by q?
52
What is the remainder when 1578/2 + (11 - (-80)/(-5) - -10) is divided by 133?
129
Let i be -109*4*(-7)/28. Let v = -3 + 6. Suppose v*p = -5*d + i, -8 = 4*p - 0*p. Calculate the remainder when d is divided by 8.
7
Let w = 398 - 372. Suppose -4*g + 4*d = -156, -133 - 82 = -5*g + d. Let j = g + -26. Calculate the remainder when w is divided by j.
8
Let h = -1527 + 2026. What is the remainder when h is divided by 131?
106
Calculate the remainder when 4193 is divided by (-2)/(-17) - (-3616)/1921.
1
Let y = -96 + 184. Let i(v) be the third derivative of v**6/120 + v**5/15 - v**4/3 + 7*v**3/6 + 7*v**2 + 8*v. Calculate the remainder when y is divided by i(3).
42
Let x = -302 + 256. Let j = x + 70. Calculate the remainder when 132 is divided by j.
12
Let x be 1 + 0 + (-2 - -3). Suppose x*d - 27 + 21 = 0. Suppose -j + 14 = -2*g, -4*j - d*g + g = -46. Calculate the remainder when j is divided by 7.
5
Let m(c) be the third derivative of -7*c**4/24 - 24*c**3 - 230*c**2. Calculate the remainder when 1