q = d + -455. Calculate the remainder when q is divided by 65.
60
Let n(j) = 18 + 2*j**3 - 17*j**2 - 4*j**3 + 12*j - 20*j. What is the remainder when 34 is divided by n(-8)?
16
Calculate the remainder when 132 is divided by ((-1104)/(-9) - -5) + (-16)/(-12).
3
What is the remainder when 568*((-6)/(-60) + (-6)/(-15)) is divided by 72?
68
Calculate the remainder when (787/5)/(202/1010) is divided by 71.
6
Let z(c) = -c**3 - 5*c**2 + 6*c + 7. Suppose -261*l + 192*l + 9936 = 0. Calculate the remainder when l is divided by z(-6).
4
Suppose 0 = 4*q - 5*v - 337, 5*v - 427 = -5*q + 28. Calculate the remainder when q is divided by 23 + -28 + 0 + 17 + -2.
8
Let a = 58 - 46. Let f(k) = 3*k**3 - 3*k**2 + k. What is the remainder when f(2) is divided by -5 + a/4 - -8?
2
Let r = -130 + 143. Suppose r*l - 1703 = -221. Calculate the remainder when l is divided by 26.
10
Suppose 1142 = -p + 1179. Let u be (-18)/(-4)*2 - 2. What is the remainder when p is divided by (3 + u)/(2 + -1)?
7
Let z(f) = 3*f + 73. Let o be z(-31). Calculate the remainder when 46 is divided by ((-120)/(-16))/(o/(-48)).
10
Let m(y) = -74*y**3 - 3*y - 2. Let j(c) = c**2 - 23*c - 51. Let w be j(25). What is the remainder when m(w) is divided by 7?
5
Calculate the remainder when 3/4*(-6052)/(-445)*275 is divided by 104.
101
Let n = -3777 + 3824. What is the remainder when n is divided by 14?
5
Suppose i - 2*t = 108, -3*t = 2*i - 180 - 64. What is the remainder when i is divided by (1953/(-147))/((-12)/56)?
54
Suppose 4*h + 4*w = 460, 6*w + 115 = h + 8*w. Suppose -124*d + h*d + 1143 = 0. What is the remainder when d is divided by 12?
7
Suppose -26*o + 33*o = 560. What is the remainder when 869 is divided by o?
69
Suppose -17*h = -14*h - 3*y - 4179, 6986 = 5*h + 2*y. Calculate the remainder when h is divided by 56.
52
Suppose -h + 0*h = -1, h - 625 = -3*d. Suppose 211*b - 3 = d*b. Calculate the remainder when 5 is divided by b.
0
Suppose -4*d + 113 + 27 = 0. Let v = 1497 - 1485. Calculate the remainder when d is divided by v.
11
Let i = 1497 - 1457. Calculate the remainder when 5837 is divided by i.
37
Suppose -90 + 4174 = 199*j - 1488. Let g(c) = -20*c - 3. What is the remainder when g(-3) is divided by j?
1
Suppose 3*h - 3*y - 33 = 0, -24 = -2*h + 5*y - 2. Suppose -2*k = -x - h, -3*k - 2*x = -4*x - 15. Let i = k + 13. What is the remainder when 39 is divided by i?
19
Suppose 0 = -96*i - 450 + 1986. What is the remainder when -62*(3/(-2) - 0) is divided by i?
13
Let n(b) = 212*b - 51. Let l be n(3). Let i = -151 + l. What is the remainder when i is divided by 23?
20
Suppose 7*t + 51 = 107. Suppose 0 = -d - 3*x + 60, 3*x + 120 = 2*d + 7*x. What is the remainder when d is divided by t?
4
Let j(s) = s**2 + 5*s - 14. What is the remainder when 57 is divided by j(4)?
13
Let z(i) be the first derivative of -i**2/2 + i - 7. Suppose 5*v - 1165 + 1115 = 0. What is the remainder when v is divided by z(-7)?
2
Suppose 2*o = -5*k + 27, 2*o - k - 9 = -0. Let h(l) = 2 - 4*l - o + 2 + 3*l. What is the remainder when 39 is divided by h(-9)?
4
Let x = -11647 - -12026. Calculate the remainder when x is divided by 180.
19
Suppose 0 = -s + q + 130, -14*s - 513 = -18*s - 3*q. What is the remainder when 1422 is divided by s?
3
Suppose -21 = -4*d + r + 20, -23 = -2*d + 3*r. Let u(q) = q**2 + 96. Calculate the remainder when u(0) is divided by d.
6
Let f(i) = i**2 + 12*i - 28. Let r(p) be the second derivative of -p**3/6 + 3*p**2/2 + 4*p. Let c be r(18). What is the remainder when 32 is divided by f(c)?
15
Let s = -13388 + 14367. Calculate the remainder when s is divided by 58.
51
Let v = 92 - 87. What is the remainder when (-5 - (-68)/(-2))*432/(-81) is divided by v?
3
What is the remainder when (-597)/(-12*10/360) is divided by 224?
223
Suppose 3*s = 2*s + 2. Suppose 0 = 3*m + s*m - 70. What is the remainder when 21 is divided by (-35)/m*(-1 - 1)?
1
Let v(k) be the third derivative of -1/3*k**3 + 0*k + 1/6*k**5 - 7/24*k**4 + 8*k**2 + 0. Calculate the remainder when v(-3) is divided by 16.
13
Let v be (-86450)/(-65) + -1*7. Let i = 1331 - v. Let k(u) = u**2 - u + 9. Calculate the remainder when k(0) is divided by i.
1
Suppose 2*c = -3*h + 2 + 57, 0 = 4*c + 4*h - 116. Let w(g) = 3*g - 14. Suppose -o - 2*o + 15 = 3*b, 5*b = -25. What is the remainder when c is divided by w(o)?
12
Let t be 62/(-155) + 8/(-5). Calculate the remainder when (t/4)/(31/(-3906)) is divided by 23.
17
Suppose 0 = -4*y + 3*m + 1370, 447*m + 1759 = 5*y + 451*m. What is the remainder when y is divided by 30?
17
Let u(t) = -1959*t - 5843. Calculate the remainder when 3137 is divided by u(-3).
9
Let y = -32523 + 32697. Calculate the remainder when 529 is divided by y.
7
Let l be ((-112)/(-24))/(-3 - 11/(-3)). Calculate the remainder when 152 is divided by (l/(-4) + 0)/((-24)/576).
26
Let r(v) = v**3 + 22*v**2 - 16*v + 17. Let g be r(-22). Suppose z = d - 115, -z + 4*z - g = -3*d. What is the remainder when d is divided by 30?
29
Calculate the remainder when (8/(-6))/(4116788/205842 - 20) is divided by 88.
86
Let s(t) = 17*t**2 - 6*t + 15. Let d(k) = -15*k - 136. What is the remainder when s(5) is divided by d(-13)?
56
Suppose -5*a = -4*a + 1, 3*g - 4 = 4*a. Suppose -2*d + 176 = -0*d + x, g = d + 5*x - 106. Calculate the remainder when d is divided by ((-4)/8)/(3/(-66)).
9
Suppose 22*q - 62*q + 5959 = 19*q. What is the remainder when 499 is divided by q?
95
Let q = 19014 + -18928. Calculate the remainder when q is divided by 15.
11
Suppose -2*k - 1616 + 9493 = -5*o, 0 = -3*o + 9. Calculate the remainder when k is divided by 282.
280
Let p(h) = -13*h**2 - 227*h + 73. Calculate the remainder when p(-16) is divided by 63.
62
Suppose -3*k + 4*p = -4*k + 397, -1180 = -3*k - p. Let n = -26 + 70. Calculate the remainder when k is divided by n.
41
Suppose -6 = 84*b - 87*b. Suppose -2*x + 36 = 2*h, -h + 0*x + 9 = -b*x. Calculate the remainder when 192 is divided by h.
12
Suppose -q = -4*w + 44, 0 = 5*w + 2*q - 4 - 38. Let z(v) = -28*v + 302. What is the remainder when 38 is divided by z(w)?
16
Let b be 3 + -6*16/(-3). Suppose u - 5*p = 37, -18*u - 5*p + b = -13*u. Calculate the remainder when 64 is divided by u.
4
Let s(l) = 47*l**2 + 88*l + 2. Calculate the remainder when 4451 is divided by s(-2).
13
Suppose 0 = 4*m, 5*i - 13 = 4*m + 7. Suppose -2*r + 104 = 4*t - i*r, 0 = -4*t - 4*r + 128. Let q = t + -8. Calculate the remainder when 57 is divided by q.
17
What is the remainder when (-16)/(-2) + -14 - (-189 + 3) is divided by 64?
52
Suppose 2*l + 3882 = 4*v + 896, -4*l + 2944 = 4*v. Calculate the remainder when v is divided by 144.
23
Suppose -82*g + 84*g + 2 = 0, 10*g - 71 = -3*l. Calculate the remainder when 1184 is divided by l.
23
Let p(d) = 2*d**3 - 6*d**2 - d + 18. Calculate the remainder when p(9) is divided by 19.
12
Suppose 0 = -3*z + 4*k - 20 + 4, k - 4 = 0. Suppose 9*v - 3*v - 1062 = z. What is the remainder when v is divided by 36?
33
Suppose -381 + 192 = -27*o. What is the remainder when 1076 is divided by o?
5
Suppose 0 = 3*s + 3 + 6, 0 = -2*k + 5*s - 401. Let i = 319 + k. Calculate the remainder when i is divided by 50.
11
Suppose -183*k - 171*k = -319*k - 1855. Suppose -2*t = -8, 2*v + 2*t - 318 = t. Calculate the remainder when v is divided by k.
51
Let z be (-1 - -1) + (-6 - -6) + 7. Let d(i) = 8*i - i - 3*i - 12 + z*i. Calculate the remainder when d(5) is divided by 9.
7
What is the remainder when 525 is divided by ((-3)/4)/((-7)/532)?
12
Let r(b) = -b**2 + 19*b - 26. Let y be (-5 - 1)*(-12 - (-88)/8). What is the remainder when 466 is divided by r(y)?
50
Let k(s) = 22*s - 4. Let l be k(-3). Let p = l + 107. Calculate the remainder when 135 is divided by p.
24
Let n(r) = -134*r**3 - 5*r**2 + 3*r + 20. Calculate the remainder when n(-2) is divided by 49.
37
Suppose -6*z = -4*p - 20606, 2*p = -5*z - 0*z + 17177. What is the remainder when z is divided by 9?
6
Suppose -4*x + 4 = n - 3*x, -5 = -2*n - 3*x. Suppose y + y = -w + n, -4*w - 2 = -2*y. What is the remainder when 6 + -9 - -241*w is divided by 40?
38
Let y = -83 - -166. Let v be 755/(-10) + (-6)/(-4). Let s = v + y. Calculate the remainder when s is divided by 4.
1
Let k(x) = x**3 + 21*x**2 + 22*x + 12. Let w be k(-20). Let c = -11 + w. What is the remainder when (3 - c) + -2*3/