the remainder when j is divided by c.
12
Let z be 4/6 + (-65)/39. Calculate the remainder when 1/(84/(-87) - z) is divided by 16.
13
Let h = -871 + 510. Let c = -137 - h. Suppose 4*i - 130 = -2*j, 2*j + 2*j - i = c. What is the remainder when j is divided by 15?
12
Let c(z) = 6*z**2 - 21*z + 13. Suppose 0 = 11*g + 35 - 101. What is the remainder when c(g) is divided by 15?
13
Suppose -u = 3*s + 7, 0 = 5*u + 4*s - 13 + 4. Suppose 5*h - 112 = -3*p, 3*p - u*h + 1 = 123. Calculate the remainder when p is divided by 20.
19
Let t = 2326 + -2306. What is the remainder when 798 is divided by t?
18
Suppose -5*b - 6*k + 7*k + 1207 = 0, 3*b - 719 = -2*k. What is the remainder when b is divided by 77?
10
Let i be (-6 - -7) + (2 - -1). Suppose 0 = i*g - 6*g + 284. What is the remainder when g is divided by 36?
34
Let v be 1/((0 - -2)/160). Let r = 143 - v. Calculate the remainder when r is divided by (256/20)/((6/5)/3).
31
Let u(m) = m**3 + 26*m**2 + 2. Let y be u(-26). Suppose -y*s - 42 = -64. Calculate the remainder when 51 is divided by s.
7
Let v(x) = -x**2 + 12*x - 6. Let p(f) = 11*f**2 - 1. Let l be ((-4)/24)/((-4)/24). Let m be p(l). Calculate the remainder when v(m) is divided by 8.
6
Let h(z) = -z**3 - 2*z**2 - 3*z - 2. Let n be h(-2). Suppose 3*i + 0*i - 49 = -w, 4*w = -n*i + 68. Calculate the remainder when 45 is divided by i.
13
Let r(v) = -v**3 + 21*v**2 - 64*v + 22. What is the remainder when r(16) is divided by 9?
8
Let g = 58 - 20. What is the remainder when g is divided by 16/56 - (-828)/42?
18
Suppose 174 = x + 171. Calculate the remainder when 16 is divided by x.
1
Let p be ((-3)/(-2))/((-12)/(-40)). Suppose 0 = p*o - 9 - 1. Suppose f + 3*u + 2 = 4, -3*u = 4*f - 17. What is the remainder when f is divided by o?
1
Suppose 130*p + 402 = 131*p. What is the remainder when p is divided by 68?
62
Let g(n) = -n + 17. Let y be g(12). Suppose -2*k = -2*f + k + 38, -3*k = y*f - 116. Let z = 8 - 2. Calculate the remainder when f is divided by z.
4
Suppose 0 = 4*x - 20, -2*v + 2*x + 3 = -1. Let o(j) = 9*j + 7. Let q be o(7). Let y = q + -51. Calculate the remainder when y is divided by v.
5
Suppose 0 = -59*s + 150*s - 7644. Calculate the remainder when 415 is divided by s.
79
Let f(t) = t**2 - 16*t - 5. Let a = 43 - -14. What is the remainder when a is divided by f(17)?
9
Suppose -50*s + 55*s = 135. Calculate the remainder when 42 is divided by s.
15
Let n(i) be the first derivative of 4*i**3 - 3*i**2/2 - 3*i + 20. What is the remainder when n(-2) is divided by 6?
3
What is the remainder when 48 is divided by (-35)/(-175)*(65 + 0)?
9
Let u = 63 + -66. Calculate the remainder when (-8*u/15)/(4/310) is divided by 7.
5
Calculate the remainder when (23/4)/(((-56)/(-8))/28) is divided by 14.
9
Suppose -159 = -3*j + 51. What is the remainder when 6/27 + 75/27 + j is divided by 19?
16
Let n(r) be the first derivative of -r**4/4 - r**3/3 + 5*r**2/2 - r + 1. What is the remainder when 8 is divided by n(-3)?
0
Let f(r) be the second derivative of r**5/4 - 3*r**2/2 - 12*r. What is the remainder when f(2) is divided by 20?
17
Suppose 190 = 7*o - 13. Suppose 92 = 33*u - o*u. Calculate the remainder when 41 is divided by u.
18
Suppose -45*d + 2112 = -3693. Calculate the remainder when 261 is divided by d.
3
Suppose 5*t - 281 = 744. Suppose -4*p - p = t. Let o = p + 80. Calculate the remainder when 115 is divided by o.
37
Let y = 24 - -4. Let t(o) = -89*o - 1. Let w(a) = 18*a. Let q(z) = -2*t(z) - 11*w(z). What is the remainder when q(-4) is divided by y?
26
Let y(l) = -17*l**2 + 108*l - 2. Calculate the remainder when y(6) is divided by 4.
2
Let u(t) = -t**3 + 9*t**2 - 6*t. Let z(p) = p + 7. Let l be z(-5). Suppose -l = -v + 4. Calculate the remainder when u(8) is divided by v.
4
Let t be 318*(-4)/(-8) + 0. Suppose 2*v + 432 = 4*y, -5*y + 2*v + 380 = -t. What is the remainder when y is divided by 22?
19
Suppose 4*v = 18*v - 182. What is the remainder when 93/(5/((-10)/(-3))) is divided by v?
10
Let p(m) = -m**2 + 11*m + 24. Let q be p(12). Suppose -5*x - 3*c + 93 = 0, 2*c + c + q = 0. What is the remainder when 146 is divided by x?
20
Let y(v) = -12*v - 68. What is the remainder when 77 is divided by y(-7)?
13
Suppose 0*k + 78 = 4*r + 2*k, -r = -2*k - 27. Let p(x) = x**3 + 12*x**2 - 10*x + 3. What is the remainder when p(-12) is divided by r?
18
Let i be -4*(-1)/6*3. Suppose -i*f - 57 = -5*d + 34, 2*f - 42 = -2*d. Calculate the remainder when 29 is divided by d.
10
Suppose -830 = -3*k + k. Suppose 2*q + 3*q - k = 0. Calculate the remainder when q is divided by 21.
20
Let z(d) = -13*d + 7. Let k be z(-6). Suppose 5*t - k = 55. What is the remainder when t is divided by 8?
4
Let z(y) be the second derivative of 1/12*y**4 + 0 - 5/2*y**3 - 9*y - 5/2*y**2. Calculate the remainder when z(16) is divided by 3.
2
Suppose -3*d - d = -20. Let a = -51 + 54. Suppose c + 3 = 0, a*w - 4*c - 46 = w. What is the remainder when w is divided by d?
2
Let w(n) = n**2 - 24*n - 27. Calculate the remainder when w(28) is divided by 45.
40
Let p(i) = 27*i**2 + 19*i - 27. Let d be p(6). Suppose -9*q = -d - 165. What is the remainder when q is divided by 23?
21
Let s be (-27)/(-9) + (-1)/1. Suppose -2*b - 4*j = 6, 4 + 5 = 5*b + s*j. What is the remainder when 3 is divided by b?
0
Suppose -4*l - l = o + 108, l = 4*o - 30. Let n = -12 - l. Let w(q) = 2*q**2 - 5*q + 4. What is the remainder when w(-3) is divided by n?
7
Calculate the remainder when 75 is divided by (-11)/((-220)/(-8)) + 424/10.
33
Suppose 2*w - 4*y = 16, w - y = -w + 10. Let f(r) = 6*r + 1. Suppose -28*i + 23*i + 365 = 0. What is the remainder when i is divided by f(w)?
23
Let p = 152 + -142. Let i(r) = -r + 27. What is the remainder when 101 is divided by i(p)?
16
Suppose 4 = -2*r, -2*m - 52*r + 1826 = -54*r. Calculate the remainder when m is divided by 24.
23
Suppose -g + 2*j = -3*g + 106, 5*j = -g + 61. What is the remainder when g is divided by 29?
22
Let s(h) = 714*h - 3561. Let o = 161 + -99. What is the remainder when o is divided by s(5)?
8
Let f = 15 + -8. Suppose -2*c = 11 - f. Calculate the remainder when c - (-236)/(-3 + 7) is divided by 20.
17
Let y = -8 + -30. Let m = -16 - y. Calculate the remainder when 43 is divided by m.
21
Let i(v) = 15*v - 6 + v**2 + 10 - 4. What is the remainder when 77 is divided by i(-16)?
13
Let h be -15*(-1)/10*4. Suppose h*x = 3*x. Suppose x = l - 0*l - 15. Calculate the remainder when 43 is divided by l.
13
Calculate the remainder when (-8)/(-1) + 630 + -23 is divided by 28.
27
Let j(z) = -z**3 - 10*z**2 + 16*z + 18. Let g be j(-12). Suppose 0 = o - 4*o + g. Calculate the remainder when 149 is divided by o.
35
Suppose -31 = 5*r + 89. Let c = 65 + r. What is the remainder when c is divided by 15?
11
Let h(m) = 113*m - 189. Calculate the remainder when h(4) is divided by 88.
87
Suppose 3478 + 2486 = 21*l. Calculate the remainder when l is divided by 48.
44
Suppose 74 - 10 = 16*j. Calculate the remainder when 182 is divided by j.
2
Suppose -7*q = -4*q - 4*i - 40, 0 = i - 2. Calculate the remainder when 78 is divided by q.
14
Let b(f) = f**3 - 10*f**2 + 11*f. Let v be b(8). Let d = 83 + v. What is the remainder when d is divided by 23?
20
Let r be 14/(4/2 - 0). Let x(c) = -c**3 + 8*c**2 - 2*c - 5. Let n be x(r). Suppose -n = -9*a + 4*a. What is the remainder when 17 is divided by a?
5
Suppose 290 = 4*s - 3*j, -3*s - 3*j + 0*j = -228. Let t = s - 31. Calculate the remainder when t is divided by 22.
21
Let t = -165 - -165. Suppose t = -42*y + 33*y + 1251. Calculate the remainder when y is divided by 14.
13
Let g = -8 - -39. Calculate the remainder when 493 is divided by g.
28
Let x be 0 + 1 + (-8 - -10). Suppose -5*i = -x*i - 2, i + 59 = 4*d. Suppose d = 2*o - 13. Calculate the remainder when 40 is divided by o.
12
What is the remainder when 59 + 1 - (-2 + 0) is divided by 13?
10
Suppose 0*t - 60 = -2*z + t, -132 = -4*z - t. Suppose -6 = -5*a + 9. What is the remainder when z is divided by 9 + (a - (4 - 1))?
5
Let a(y) be the first derivative of 3*y**2/2 + 26*y + 19. Calculate the remainder when ((-4)/(-5))/(2/15) is divided by a(-7).
1
Suppose 0 = 5*q - 4*q - 4. Suppose -4*w + 17 = -w + 5*a, -5*w + q*a = -90. Calculate the remainder when w is divided by 9.
5
Let j be (-98)/(-5) - 8/(