the remainder when (-88 - -87)/((0 + 1)/(-367)) is divided by 37?
34
Let p(y) = -3*y + 43. Suppose 0 = -4*b - 4*f + 100, -3*f - f = 0. What is the remainder when b is divided by p(10)?
12
Let n(j) = 3*j**3 - 5*j**2 + 2*j + 4. Suppose -7*p + 200 = -451. Suppose -q - p = -4*v, 4*q - q = 5*v - 111. What is the remainder when n(3) is divided by v?
22
Suppose 19*x = 20*x - 6. Calculate the remainder when (-10 + x)*(-18)/3 is divided by 5.
4
Let g be (0 + (-8)/12)*42. Let t = -26 - g. Let q = 0 + t. Calculate the remainder when q is divided by 2.
0
Let h = -8 + 59. Suppose -9*x + 6*x = -h. What is the remainder when 83 is divided by x?
15
Let y be (131 + 0 + -2)/1. Suppose 0 = -t - t - v + y, 3*t = 4*v + 221. Let u = -17 - -31. Calculate the remainder when t is divided by u.
11
Suppose -14*o = -18*o - 212. Let i = o + 92. What is the remainder when i is divided by 14?
11
Let l = -4 - -14. Let g be l*4*(-12)/(-8). Suppose -f + g = f. What is the remainder when 59 is divided by f?
29
Suppose 0 = -v - 3 + 5. Suppose 0*z + v*z = 12. Suppose n + 15 = z*n. What is the remainder when 9 is divided by n?
0
Let u(w) = w**3 - w**2 - 35. Let y be u(0). Let q = y + 58. What is the remainder when q is divided by 12?
11
Let f be (-5)/(-1) + 7 + -10. Suppose 4*s - 488 = -f*m, 0 = -3*s + 1 + 8. What is the remainder when m is divided by 60?
58
Let s = -242 - -285. What is the remainder when 96 is divided by s?
10
Let w(y) = -y**3 - 15*y**2 - 15*y + 16. Calculate the remainder when 121 - (4/2 - 0) is divided by w(-14).
29
Suppose -3*m = 3*v - 186, -v + 2*v = -3*m + 186. Suppose 0 = -167*i + 168*i - 17. Calculate the remainder when m is divided by i.
11
Let k(v) = v**3 + 16*v**2 + 24*v + 6. What is the remainder when k(-11) is divided by 70?
67
Let k(d) = -d + 4. Let q be k(-4). Suppose -3*z + q*z = 570. What is the remainder when z is divided by 23?
22
Suppose -13*n + 21 = -12*n. What is the remainder when 118 is divided by n?
13
Suppose -67*d = -1555 - 2733. Calculate the remainder when d is divided by 34.
30
Let i = 58 - 15. Suppose -4*g + 94 = 2. Calculate the remainder when i is divided by (g + -17)/(1*2/3).
7
Suppose 5*l - 3*m = 194, -5*m + 50 = 7*l - 6*l. Calculate the remainder when 195 is divided by l.
35
Suppose 5*v = v + 4, -3*r - 3*v = -99. Suppose -36*s + r*s + 156 = 0. Calculate the remainder when s is divided by 10.
9
Suppose -3*h + 35 = 5*o - 0*o, 0 = 2*h - 3*o - 55. Let a = h - 32. Let k(b) = b**3 + 12*b**2 - 2*b - 6. What is the remainder when k(a) is divided by 10?
8
Let d(f) = 3*f**2 - 1. Let h be d(1). Let l(b) = 12 + b**3 - 9*b + b**3 - 3*b**3 + 8*b + 9*b**h. Calculate the remainder when 14 is divided by l(9).
2
Suppose -2*k - 8 - 122 = 0. Let v = -29 - k. What is the remainder when v is divided by 13?
10
Suppose -41*i = -4*i - 925. What is the remainder when i is divided by 13?
12
Let s(b) = 61*b + 2. Let x(y) = -48*y - 2. Let d(p) = 4*s(p) + 5*x(p). Let i be (-2)/(1 + -3*1). What is the remainder when d(i) is divided by 1?
0
Let t(n) = 3*n**3 - 10*n**2 + 20*n - 16. Let i(r) = -r**3 + 3*r**2 - 7*r + 5. Let f(o) = -11*i(o) - 4*t(o). What is the remainder when f(5) is divided by 23?
21
Suppose 12*a = -9 + 333. Calculate the remainder when 63 is divided by a.
9
Suppose -4*q - 3 + 7 = 0. Let j = 14 - 2. Let h = j + -11. What is the remainder when q is divided by h?
0
Let l = -21 - -8. Let w be l/(-3) - 3/9. Suppose w*v - 24 = 5*p + 84, -5*v - 5*p + 90 = 0. What is the remainder when v is divided by 6?
4
Let o(d) = -2*d**3 + 57*d**2 + 30*d + 5. Calculate the remainder when o(29) is divided by 16.
2
Let a be (-2 - -4)/((-6)/69). Calculate the remainder when 42 is divided by (5*-3)/(22 + a).
12
Suppose -27 = 3*o + 3. Let f(j) = j + 4. Let w be f(o). What is the remainder when 25 is divided by w/8 - 117/(-12)?
7
Let p be 5 + 2/(-1) + -1. Suppose 0 = -4*n + 12, -n = p*b - 3 - 0. Calculate the remainder when -3 - (b + -1)*22 is divided by 10.
9
Let v(b) = b**3 - 8*b**2 + 10*b - 5. What is the remainder when 55 is divided by v(7)?
7
What is the remainder when (-1524)/(-5) - (-4 + (-19)/(-5)) is divided by 34?
33
Let w(l) = 3*l**2 - 6*l - 20. Let h be w(-9). Let v = h - 199. Let r(d) = -3*d + 4. What is the remainder when v is divided by r(-4)?
14
Let d = -50 - -24. Let x be (-4)/d - (-24)/13. Suppose -x*k + 13 = -1. What is the remainder when 13 is divided by k?
6
Let j(x) = x**3 - 9*x**2 + x - 6. Let z be j(9). Suppose 15 = z*m - 0*m. What is the remainder when 23 is divided by m?
3
Let x(m) = 4*m**2 - 4*m - 12. Calculate the remainder when 201 is divided by x(-2).
9
Let w(v) = -v + 5. Let m be w(3). Suppose -92 = -6*g + m*g. What is the remainder when g is divided by 6?
5
Let d(q) = -8*q + 8. Let r be d(-8). Suppose 10 = t - r. Suppose -364 = -38*n + 25*n. What is the remainder when t is divided by n?
26
Let f = -15 + 36. Let v(z) be the second derivative of z**3/6 - z**2/2 - 15*z. Calculate the remainder when f is divided by v(7).
3
Let c = 698 + -661. What is the remainder when c is divided by 31?
6
Let i = 26 - 71. What is the remainder when 32 is divided by (-6)/(-27) + (-260)/i?
2
Suppose -110 = -5*l - 5*s, 0*l + 94 = 5*l - 3*s. Suppose -128 = -4*v + b, 0 = -5*b - 0*b + l. Calculate the remainder when (3/(-2))/(2/(-128)) is divided by v.
30
Let h be (-145)/6 + (-6)/(-36). What is the remainder when ((-24)/2)/(4/(-10)) is divided by 0 - (-6)/(-9)*h?
14
Suppose -187*w + 178*w + 342 = 0. What is the remainder when 171 is divided by w?
19
Let c = -5 + 18. Calculate the remainder when 435 is divided by c.
6
What is the remainder when (-135)/12*528/(-110) is divided by (2 - 19)/(-1) - -2?
16
Calculate the remainder when ((-88)/88)/((-4)/40) is divided by 0 + 1/(1/2).
0
Suppose -4*j - 3*t = -71, 3*j + 4*t = -2*j + 90. Calculate the remainder when 48 is divided by j.
6
Let l = -276 + 380. What is the remainder when l is divided by 12?
8
Let y = -51 - -22. Let u = -23 - y. Calculate the remainder when 14 is divided by u.
2
Let y be (8/6)/(3/(-9)). Let k(x) be the third derivative of x**5/60 - x**4/24 - 2*x**3/3 - 2*x**2 + 11. What is the remainder when 29 is divided by k(y)?
13
Let f(m) = -m**3 + 15*m**2 - 14*m + 16. Let j be f(13). Suppose -j = -15*n + 8. What is the remainder when n is divided by 7?
5
Let g be (11 - (-6 + 5)) + 2*1. Suppose g - 60 = -2*w. What is the remainder when 68 is divided by w?
22
Let l(x) = 23*x - 5. Let b be l(2). Suppose 0 = -2*y + b + 37. What is the remainder when 76 is divided by y?
37
Let o be (60 + 1)/(1/(-2)). Let a = 169 + o. Calculate the remainder when a is divided by 16.
15
Suppose 0 = -3*r - 4 + 13. Suppose -r*v + 490 = 7*v. Calculate the remainder when v is divided by 13.
10
Suppose 6*t + 27 - 3 = 0. What is the remainder when (-12 + (5 - 7))*18/t is divided by 16?
15
Suppose c + 34 = h - 68, 0 = 5*h - c - 498. Let w(j) = -24*j**3 + j**2 - 1 + j + 2 + 0. What is the remainder when h is divided by w(-1)?
24
Let x(b) = 10*b + 4. Let c(s) = 11*s + 4. Let u(d) = -5*c(d) + 6*x(d). Let h be u(-4). Let w = h + 39. Calculate the remainder when w is divided by 12.
11
Let p = 828 - 660. What is the remainder when p is divided by 9?
6
Let f(m) = -48*m - 5607. Let u be (-4)/(-8) + 6/4. Suppose 4*j - 17 = w, u*j - 2*w - 9 = -w. What is the remainder when f(-117) is divided by j?
1
What is the remainder when 91 is divided by (-16)/(-3)*225/50?
19
Suppose o - 332 = 3*m, -5*o - 4*m + 481 = -1122. What is the remainder when o is divided by 57?
38
Suppose -335 = -3*r + 304. What is the remainder when r is divided by 72?
69
Let t be (-8)/2 - (15 - 46). Calculate the remainder when (t/27)/((-2)/(-28)*2) is divided by ((-3)/(-2))/(6/8).
1
Let c = -260 - -269. Suppose -3*y - 5*t + t = -59, -4*y = -3*t - 112. Calculate the remainder when y is divided by c.
7
Suppose -5*r + 5*h + 720 = 0, 2*r = -3*h + 112 + 166. Suppose 3*u - 5*y = 61, 2*y + 21 + 49 = 5*u. Calculate the remainder when r is divided by u.
10
Suppose -5*f + 22 = 2. Suppose 103 = f*x - 5. Calculate the remainder when 104 is divided by x.
23
Let b(f) = -f**3 + 5*f**2 + 7*f + 11. Calculate the remainder when 51 is divided by b(6).
0
Suppose v = -3*v + 208. Suppose -2*t = 2*w - v, -5*w = 5*t - 3*t - 52. Suppose -2*s + s = -9. Calculate the remainder when t is divided by s.
8
S