ed by 7?
3
Suppose -7*j + 6*j + 49 = 0. Let u = 5 + -1. Suppose -u*g - g + 50 = 0. What is the remainder when j is divided by g?
9
Suppose -769*a = k - 768*a - 176, 0 = 2*k - 5*a - 303. What is the remainder when 27884 is divided by k?
168
Let f(l) = -20*l - 161. Let k(p) = -18*p + 5 - 4 - 4 + 6. Calculate the remainder when k(-5) is divided by f(-9).
17
Let y(p) be the second derivative of 0 - 9/2*p**2 + 15*p + 5/3*p**3. What is the remainder when 123 is divided by y(4)?
30
Let b(t) = t**3 - 25*t**2 + 46*t + 3. Let c be b(23). What is the remainder when 136/c - 45/(-27) is divided by 7?
5
Suppose 4*p - 84 = -0*p. Let h(i) = 1056*i + 52851. What is the remainder when h(-50) is divided by p?
9
Suppose 3*g + 1905 = 6*c - 1479, g - 1697 = -3*c. What is the remainder when c is divided by 8?
5
Suppose -229 + 256 = j. Suppose 25*z - j*z + 52 = 0. Let x = 29 - 15. What is the remainder when z is divided by x?
12
Let h(d) = -d**3 + 11*d - 8. Let l be h(-6). Suppose 1325 = n + l. What is the remainder when 47 is divided by (-256)/(-26) + 13/(n/14)?
7
Suppose 86*o = -18*o - 415*o + 4294206. Calculate the remainder when o is divided by 15.
9
Let m be (6/4)/((165/1012)/5). Suppose -m*s + 7291 = 437. Calculate the remainder when s is divided by 14.
9
Let n(c) = c**3 + 3*c**2 - 8*c + 9. Let t be n(-5). Calculate the remainder when (-7 - t) + (-25 - -48) is divided by 10/(-4)*(-8)/5.
1
Suppose -28*k + 5*k + 1725 = -0*k. What is the remainder when 12297 is divided by k?
72
Let y(b) = 19*b + 42. Calculate the remainder when y(8) is divided by (-2)/((84/270)/(-7)).
14
Let h be 879/(-8) - (9 - (-497)/(-56)). What is the remainder when 49 is divided by h/(-6)*(-138)/(-230)?
5
Suppose -2*c = -5*k + 15 + 124, -225 = 3*c - 2*k. Calculate the remainder when 62 is divided by 1/(-3) - -10*c/(-42).
8
Suppose -24 = -5*t + 4*k + 12, 4*t - 20 = k. Suppose 0 = t*l - 81 - 119. Calculate the remainder when l is divided by 11.
6
Let b be ((-5)/15)/(-2*(-1)/(-2472)). Suppose 4*p - b = -68. What is the remainder when p is divided by 23?
17
Let h be (-2 - -22) + 0/(2 + 5). Suppose 87*g + h = 89*g. What is the remainder when 48 is divided by g?
8
Suppose -33*s + 29*s = 4*m - 1800, 0 = 5*m - 5*s - 2280. Calculate the remainder when m is divided by 117.
102
Calculate the remainder when 389 is divided by (18 + 16/24)/((-4)/(-6)).
25
Let n = -547 + 530. Let a(i) be the second derivative of i**4/12 + 19*i**3/6 + 55*i**2/2 + i. What is the remainder when a(n) is divided by 17?
4
Let l(j) = -11*j - 10. Let p be l(-2). Suppose -9*f = p*f - 588. Calculate the remainder when f is divided by 8.
4
Let m(n) = n**2 - 7*n - 4. Let d = 18 - 16. Suppose d*h - 1 = -4*g + 3, -30 = -5*h - 5*g. Calculate the remainder when 103 is divided by m(h).
25
Let n(l) = -34*l + 166*l - 14 + 4. What is the remainder when n(1) is divided by 18?
14
Let c be ((-3)/(-9))/(2/258). Let q = -24 + c. Suppose 0*d + 5*d = -3*p + q, -4*d = 5*p - 49. Calculate the remainder when 36 is divided by p.
10
Let t = -4151 - -4162. What is the remainder when t is divided by 5?
1
Let b(t) = -6*t + 12. Let f be b(-3). Suppose 0 = 3*y + 5*h - f + 3, -y - h = -7. Calculate the remainder when 40 is divided by 2/(((-40)/(-65))/y).
1
Suppose -4735*c - 3477 = -4738*c. What is the remainder when c is divided by 14?
11
What is the remainder when 730 is divided by (-144)/(-28)*13/104*28?
10
Let l = 377 - 755. What is the remainder when 25 is divided by l/(-78) + (-6)/(-39)?
0
Let o(n) be the second derivative of -n**3/2 - 43*n**2/2 - 4*n. Let i = -176 - -153. Calculate the remainder when o(i) is divided by 3.
2
Let f(n) = -2*n + 11. Let l be f(-4). Suppose l = 3*v - s, 1 = -2*v + 4*s + 17. Calculate the remainder when 12 is divided by v.
0
Suppose 4*j = 2*v + 22, 0*v - 4*j = 3*v + 13. Let d(u) = -3*u - 29. Let n be d(v). Calculate the remainder when 25 is divided by 33/4 + (-31)/(-4) + n.
1
Suppose 159 = 70*s - 1871. Calculate the remainder when 340 is divided by s.
21
Let c(m) = 1224*m**2 - 46*m. What is the remainder when c(-1) is divided by 256?
246
Let r(s) = 9*s - 10. Let a = 133 + -71. Let n = -57 + a. Calculate the remainder when 139 is divided by r(n).
34
Let w(i) = i**2 + 2*i - 1. Let u be w(-2). Suppose 18 = -32*n + 33 + 145. Calculate the remainder when 4/(u + 6/4) is divided by n.
3
Let i = 395 - 384. Suppose -i*w + 20*w = 1935. Calculate the remainder when w is divided by 7.
5
Suppose -3*n - 5 = -5*j - 6*n, 2*j - 5*n - 33 = 0. Suppose -j = g, 5*f - 7*g = -2*g + 835. Calculate the remainder when f is divided by 25.
13
Let y(p) = p**2 + 4*p + 17. Let s be y(-6). Let i = -25 + s. What is the remainder when 1/(-1*2/i) + 11 is divided by 2?
1
Let o = 129 + -77. Let j = 1499 - 1492. What is the remainder when o is divided by j?
3
Suppose 4*o - 200 = -2*j, j - 4*o + 48 - 142 = 0. Let x = j + -51. Suppose 6*z - 49 - x = 0. What is the remainder when z is divided by 5?
1
Suppose 124 = 4*r + l, -5*l + 72 = 2*r - 2*l. What is the remainder when 10 - (6816/(-84) - 6/(-42)) is divided by r?
1
Let l(x) = 403*x**3 - x**2 + 1. Suppose -4*u - 13*u - 132 = -625. Calculate the remainder when l(1) is divided by u.
26
Suppose 0 = -d - 3*z + 415, 0 = -2*d + 8*z + 262 + 610. Calculate the remainder when d is divided by 86.
80
Suppose 8 = -3*v - b, -2*v + 0*v - 4*b - 12 = 0. Calculate the remainder when (-736)/(-6) + (10/(-6) - v) is divided by 25.
23
Let q = -9977 + 10422. Calculate the remainder when q is divided by 105.
25
Let o(r) = 14*r**2 + 95*r + 278. Let k(i) = i**3 - 6*i**2 - 14*i + 17. Calculate the remainder when o(-3) is divided by k(8).
20
Suppose -560 = 11*d - 1517. Let l = 98 - d. Suppose -j = 4, -3*v = -j + l - 33. Calculate the remainder when v is divided by 1.
0
Suppose 0 = 17*i + 55 + 30. Let c(g) = -g**3 + 2*g**2 + 15*g + 10. What is the remainder when 768 is divided by c(i)?
108
Suppose 4*r - 271 = -5*s, -3*s + s + 105 = 5*r. Let t = -375 + 481. What is the remainder when t is divided by s?
51
Let i(m) = 47*m**2 - 10*m - 9. Let y be i(-1). Suppose 4*u - 122 = 3*r, u + 17 - y = r. Suppose 6*t - 36 = 2*t. Calculate the remainder when u is divided by t.
2
Let m(z) = -z + 25. Let j be m(18). Suppose 0 = -j*c + 20 + 92. Let u(i) = -i**2 + 11*i - 3. Calculate the remainder when u(6) is divided by c.
11
Suppose 4*c + 12 = 2*w, 4 = -3*w - 5*c - 0. Suppose -w*k - 26 = -232. Let i(t) = 2*t**2 + 2*t - 5. What is the remainder when k is divided by i(-5)?
33
Let c = 23594 - 16357. What is the remainder when c is divided by 94?
93
Let d(w) be the second derivative of w**3/6 + 3*w**2/2 + 8*w. Let q be d(4). Suppose 0*y - q*y = -63. What is the remainder when 17 is divided by y?
8
Let q(j) = j**3 - 6*j**2 - 7*j + 28. Suppose 10*u = 3 + 67. Calculate the remainder when 51 is divided by q(u).
23
Let s(t) = 4*t + 157. Let l be s(-38). Suppose 4*o = -4*p + 28, -p + 13 + 12 = -l*o. Calculate the remainder when 67 is divided by p.
7
Suppose 26 = 2*f + 3*c, 3*c + c - 22 = -2*f. Suppose 0 = -28*z + f*z + 1071. What is the remainder when z is divided by 15?
14
Let u(t) = 8*t + 118. Calculate the remainder when 147 is divided by u(-9).
9
Let o(s) be the second derivative of s**5/20 + 7*s**4/12 + 7*s**3/6 - 4*s**2 - 49*s. What is the remainder when 58 is divided by o(-4)?
10
Let t(z) = -11*z**2 - 1462*z + 38. What is the remainder when t(-130) is divided by 25?
23
Suppose 15*t + 701 = 1886. Calculate the remainder when t is divided by 5.
4
Suppose -47*u = -133*u + 75766. What is the remainder when u is divided by 86?
21
Let x(l) = l**2 - 31*l + 58. Let g = -7 - -10. Let j = 18 - g. Calculate the remainder when x(0) is divided by j.
13
Let q(i) = -i**3 - 10*i**2 - 24*i - 25. Calculate the remainder when 188 is divided by q(-8).
32
Suppose 0 = 3*v - 152*z + 149*z - 75, -z = 1. What is the remainder when 4965 is divided by v?
21
Suppose 37*w + 2461 = 144*w. Let d = -3 - -63. What is the remainder when d is divided by w?
14
Suppose 0 = 25*j - 21*j - 5*g - 123, -4*g = -4. Calculate the remainder when 3844 is divided by j.
4
Let o(k) = 18*k**2. Let t be o(-1). Suppose t*p = -3*p + 2037. Calculate the remainder when p is divided by 25.
22
Let x(i) = 193*i - 3019. Let c = -13 - -28. Calculate the remainder when x(16) is divided by c.
9
Let n(s) = s**3 + 30*s**2 