Let k = -1202 + 1287. Calculate the remainder when 157 is divided by k.
72
Let w(z) = z**3 - z**2 + 2*z + 2. Let j(y) = 5*y**2 - 2. What is the remainder when j(2) is divided by w(0)?
0
Suppose -32 = -7*a + 388. Suppose 28*g - 6802 = -10*g. Calculate the remainder when g is divided by a.
59
Suppose -67*l + 220274 = -89199. Calculate the remainder when l is divided by 165.
164
Let u(s) = -5*s + 22. Let o be u(7). Calculate the remainder when 447 is divided by 64/6 - (o + (-76)/(-6)).
7
Let y = -63 + 65. Calculate the remainder when 113 is divided by y - ((-4)/2)/(8/8).
1
Suppose -340*h + 337*h = -i + 451, -2*i + 2*h + 914 = 0. Calculate the remainder when i is divided by 34.
18
Let z(y) = 18*y**3 - 15*y**2 + 3*y + 318. What is the remainder when z(9) is divided by 16?
12
Let n be (3/(-9)*4)/(1/3). Calculate the remainder when 31 is divided by 50/(-5)*n/8.
1
Let j(r) = -3*r**3 + 17*r**2 - 13*r + 23. Let v be j(9). Let u = -501 - v. What is the remainder when u is divided by 14?
11
Suppose 34*h - 54 = 762. Calculate the remainder when 834 is divided by h.
18
What is the remainder when 2120 is divided by 10/(175/(-60)*(-22)/77)?
8
Suppose 0 = -4*v + 9*v + 2*j - 351, -v + 2*j + 75 = 0. Suppose -5*m = -5*p + 9*p - v, -p - 3*m = -16. Calculate the remainder when p is divided by 6.
1
Let d = 12930 - 12893. What is the remainder when 1543 is divided by d?
26
Suppose -5*v - 107 - 253 = -5*r, 4 = -4*v. Suppose r*k + 2690 = 81*k. What is the remainder when k is divided by 34?
31
Let s(j) = 253. Let l(t) = t + 509. Let z(v) = 4*l(v) - 7*s(v). What is the remainder when z(-21) is divided by 58?
7
Let f(x) = -x**3 + 14*x**2 + 14*x + 18. Let t be f(15). Suppose n = t*n - 2. Calculate the remainder when 1172/13 - (n - (-22)/(-26)) is divided by 23.
21
Let r(k) = -28*k + 155. What is the remainder when 34827 is divided by r(5)?
12
Let k = 68 - 103. Let l be ((-9)/21)/(5/k). Suppose 4*g = -4*z + 80, -4*z + 6 - 38 = -l*g. Calculate the remainder when 30 is divided by g.
14
Suppose -2*p - 88 = -0*p. Let z = p + 40. Let s = 24 - z. What is the remainder when 81 is divided by s?
25
Suppose -2*k = 29 - 9. Let q be (-8876)/k + 30/75. Calculate the remainder when 58 is divided by q/44 - (-4)/(-22).
18
Let p = -80 - -132. Suppose 0 = 2*i - 140 - p. Suppose 67*k - i = 63*k. What is the remainder when k is divided by 7?
3
Let d(v) = 5*v + 22. Let b be d(-4). Suppose b*m + 22*m = 792. Calculate the remainder when 492 is divided by m.
30
Calculate the remainder when (-4)/30*140/14*-8*6 is divided by 52.
12
Let u(v) = -v**2 + 5*v + 6. Let w be u(3). Let k be (-1)/((-4)/6*(-9)/w). Calculate the remainder when (-381)/(-15) + k/5 is divided by 7.
4
Let a(n) = -n**3 + 25*n**2 + 26*n + 8. Let s be 2*(-1)/(-2 - (-25)/13). Let r be a(s). Suppose r*w - 4*w = 48. Calculate the remainder when w is divided by 3.
0
Suppose -3*j = 5*s + 1755, s - 127 - 1056 = 2*j. Let u = -246 - j. What is the remainder when u is divided by 69?
68
Let d(i) be the second derivative of -141*i**5/20 - i**4/12 + i**3/6 + i**2 - 2*i - 23. Calculate the remainder when d(-1) is divided by 36.
33
Let n be 4/(-8)*(2 + 4*-2). Suppose -560 = -13*y + n*y. What is the remainder when y is divided by 19?
18
Let s = 1437 + -1431. Suppose -j = -8*j + 182. Calculate the remainder when j is divided by s.
2
Suppose 3*x = 12*q - 16*q + 1079, -3*q + 4*x = -778. Let u = q - 255. Calculate the remainder when 492 is divided by u.
8
Suppose 0 = 5*c - 7*c - 5*n + 505, 0 = 2*c + 3*n - 511. Suppose -10*f + c = -5*f. Suppose f + 372 = 8*d. What is the remainder when d is divided by 6?
5
Let g = 4405 + -4224. What is the remainder when g is divided by 17?
11
Suppose -m + 162*t - 158*t = -32, 4*t = 5*m - 272. What is the remainder when 76 is divided by m?
16
Let q = 58254 + -58193. Let s(f) = 2*f**3 - 5*f**2 + 4. What is the remainder when s(5) is divided by q?
7
Let f(m) = -63*m + 134. Let b be f(2). Suppose -1823 = -7*j - 4*i, 3*i = 3*j + b*i - 778. Calculate the remainder when j is divided by 4/6*(-66)/(-1).
41
What is the remainder when 1463 is divided by -21*11/(-77)*(-339)/(-9)?
107
Let p(u) = 0*u + 38 - 15 - 2*u + u**3 - u. Let d be p(0). Let h = d - -82. Calculate the remainder when h is divided by 18.
15
Suppose -26*z + 4072 = 3526. What is the remainder when 962 is divided by z?
17
Suppose -19*q + 6*q = -52. Suppose -17*m = -19*m - 2*s + 34, -q*s = -3*m + 72. What is the remainder when 118 is divided by m?
18
Let v be (8 + 1 - -969) + -2. Let s = -900 + v. Calculate the remainder when 1063 is divided by s.
75
Let t(c) = 2*c**3 + 5*c**2 - 3*c - 4. Let h = -7 - -10. Let y be t(h). Let b = y + -58. What is the remainder when b is divided by 10?
8
Suppose -i - u - 3 = -4, -5*u + 1 = 4*i. Suppose -4*g + 1 = -5*d, 11 = i*d - 7*d + 5*g. Calculate the remainder when 43 is divided by d.
1
Let x = -923 - -1378. Suppose 11*n - x = -2*n. What is the remainder when 99 is divided by n?
29
Suppose 2*r + 2*d = 6*r - 164, -2*d = 3*r - 130. Suppose -3*f = 27 - r. Calculate the remainder when 159/12*-2*(f - 9) is divided by 36.
34
Let b(f) = 64*f - 206. Let v = -662 + 666. Suppose 5*r = 487 - 2. What is the remainder when r is divided by b(v)?
47
Let y(p) = 5*p**2 - 19*p + 58. Calculate the remainder when y(-5) is divided by 28.
26
Calculate the remainder when 5299 is divided by (-2323)/(-25) - ((-1)/15)/((-75)/(-90)).
91
Let x(j) = -j**3 - 5*j**2 - 4*j. Suppose 0 = -3*a + 3, 3*r = r + 2*a - 4. Let u be (-10)/2 + 1 + r. What is the remainder when 98 is divided by x(u)?
18
Let p = 12419 + -12403. Suppose -4*h + 325 = -103. Calculate the remainder when h is divided by p.
11
What is the remainder when 373 is divided by 66*((-100)/(-45) + (-12)/(-27))?
21
Let k(m) be the second derivative of m**4/12 + 5*m**3/6 + m**2/2 + 15*m. Calculate the remainder when k(4) is divided by 24.
13
Suppose 0 = 5*h - 3*o - 95, -h - 2942 = o - 2961. Let r = 4 - 6. What is the remainder when h is divided by (-14)/3*3/r?
5
Let f = 110 + -99. Let t = f - -36. Calculate the remainder when 98 is divided by t.
4
Let w be (5 + 55/(-10))*4/(-1). Let v be ((-28)/(-24) - 1/w)*174. Let b = v + -105. What is the remainder when 119 is divided by b?
9
Let m be (-5)/((-3)/9 - 0)*1. Suppose u = -4*u + m. Let v = 20 - u. What is the remainder when 118 is divided by v?
16
Let z(c) = -2*c**2 - 36*c + c**3 + 3*c**2 - 23*c**2 + 13*c + 4. Let b = 17 + -8. What is the remainder when b is divided by z(23)?
1
Let h(k) = -8*k + 9. Let y be h(-7). Let r be (2 + 1 - 3) + y. Suppose -5*t + 3*g + 65 = 0, t - 5*g + r = 6*t. Calculate the remainder when 23 is divided by t.
10
Calculate the remainder when 203 is divided by 142/(-355) - 748/(-20).
18
Let l(i) = i**3 + 9*i**2 - 6*i - 1. Let v be l(-5). Suppose y - v = -2*y. Suppose 65*b - 5*b + 65*b = 1375. What is the remainder when y is divided by b?
10
Let d be -3 + 3/((-12)/(-56)*2). Suppose 4*v - 98 = -5*j, d*j + 3*v = 37 + 41. Calculate the remainder when 46 is divided by j.
10
Let w(u) = -u**3 + 16*u**2 - 41*u + 26. What is the remainder when w(5) is divided by 62?
34
Let i(k) = 167*k + 406. Calculate the remainder when i(3) is divided by 202.
99
Let j = 404 - 404. Suppose 0 = -5*c - 5*m + 70, 5*c + 18*m - 22*m - 97 = j. Calculate the remainder when c is divided by 7.
3
Suppose 3*y = 3*m + 642, -5*y + 6*m + 1078 = 5*m. Calculate the remainder when y is divided by 196.
20
Let n(l) = 3*l**3 + 15*l**2 - 3*l - 10. Let u be n(-5). Let w(c) = 2*c**2 + 16*c - 84. What is the remainder when 148 is divided by w(u)?
10
Let t(x) = 21*x**2 + 28*x - 53. Calculate the remainder when t(17) is divided by 28.
24
Let m be (-2)/7 - 185/(-35). Suppose -2*c = -m*c + 39. Calculate the remainder when ((-2)/10)/(51/(-7395)) is divided by c.
3
Let m(r) be the third derivative of -5*r**4/12 - 14*r**3/3 - 47*r**2. Let k be m(-9). Suppose -33 - k = -5*t. Calculate the remainder when 65 is divided by t.
8
Let f be (-6)/(-4)*(-96)/(-9). Let l be 9 - 9/(45/25). Suppose l = d, -d + 8 = 4*r - f. What is the remainder when 18 is divided by r?
3
Let q be (38/6)/((-168)/(-18) - 9). Let x(o) = 8*o - 106. What is the remainder when x(q) is divided by 18?
10
Let y be (-6)/10 + 3136/160. Suppose -23*n - y*n + 84 = 0. What is the remainder when 10 is divided by n?
0
Let y = -14276