5
Let c(l) = -l**3 + 6*l**2 - 7*l + 20. Let x be c(5). Calculate the remainder when (448/160)/(4/x) is divided by 5.
2
Suppose -986*m - 2*f + 54 = -983*m, 5*m = 5*f + 115. What is the remainder when 3517 is divided by m?
17
Let z(l) = -13*l**2 + 131*l + 4. Suppose 4*a + 3 = 5*h - 38, 0 = 5*h - 5*a - 40. Calculate the remainder when z(h) is divided by 28.
18
Let k(t) = -2*t + 1. Let z be k(-2). Suppose -2 = -z*m + 3. What is the remainder when m/(4/102)*20/6 is divided by 30?
25
Suppose -5*s - k = -114, -5*s - 841*k + 838*k + 112 = 0. Calculate the remainder when 28 is divided by s.
5
Let x = -17781 - -20700. What is the remainder when x is divided by 14?
7
Let y(c) = -c**3 + 12*c**2 + 117*c - 678. Calculate the remainder when 799 is divided by y(6).
79
Let r be 7/4*(-3 + 7). Suppose 0 = 2*w - v + r - 61, 0 = 5*v. What is the remainder when 50 is divided by 4/(-8)*(1 - w)?
11
Let x be 1 + 1 + 0/17. Suppose -x*n = -2*t - 22, 45 = 3*n + 2*t - 13. Suppose -75 - 15 = -2*p. Calculate the remainder when p is divided by n.
13
Suppose -2*u + 4*x + 7370 = 0, -u + 267*x - 256*x = -3649. What is the remainder when u is divided by 8?
5
Suppose 5*m + 583 = 3*p, -42*m = p - 38*m - 149. Calculate the remainder when p is divided by 54.
19
Suppose 3*y + 5*i - 144 = 10, -3*y + 148 = 2*i. Calculate the remainder when y is divided by (-246)/(-10) - (174*(-9)/(-135) - 12).
23
Suppose -47*k + 4191 = -6654 - 3913. Calculate the remainder when k is divided by 31.
4
Let b = 507 - 507. Calculate the remainder when b - (1 + -5) - -45 is divided by 17.
15
Suppose 1787 + 443 = 132*k - 2126. What is the remainder when 4091 is divided by k?
32
Let o(u) = -u**2 + 8. Let j(v) = 10*v**2 - 40*v. Let x be j(4). What is the remainder when 34 is divided by o(x)?
2
Suppose 4*z = 8, -20*z + 22*z - 2077 = -k. What is the remainder when k is divided by 3?
0
Suppose -316*s = -729353 - 746051. Calculate the remainder when s is divided by 34.
11
Let v(n) = -n**3 + 4*n**2 - 4*n + 3. Let o be v(2). Let u = -159 + 165. Suppose 6*x = o*x + u. Calculate the remainder when 7 is divided by x.
1
Let d(p) = -2*p**2 + 45*p - 50. Let f be d(21). Suppose -16*s - f*s = -232. What is the remainder when 196 is divided by s?
4
What is the remainder when 168 is divided by (-11)/((-616)/(-16)) - 5365/(-35)?
15
Suppose -2*j + 0 = -2. Let w be (-15)/(j/(-2)*3). Let v(l) = 4*l - 15. Calculate the remainder when v(w) is divided by 7.
4
Let a(i) = -354*i + 29078. Calculate the remainder when 0 + (-1 + -1 - -348) is divided by a(82).
46
What is the remainder when 44 is divided by 32 - (2/(14/(-63)))/1?
3
Suppose -3*r + 42 = -3*t, -4*r = -5*r - 3*t + 34. Let p(s) = -s**2 + 191*s + 1421. Calculate the remainder when p(-7) is divided by r.
16
Suppose 0 = 131*k - 170796 + 29840. What is the remainder when k is divided by 179?
2
Suppose -2*z = z - 2094. Suppose -z + 208 = -5*l. Suppose 3*i - 15 - 67 = c, -2*i + 2*c + 64 = 0. Calculate the remainder when l is divided by i.
23
Let m = 2127 + -2054. Calculate the remainder when 426 is divided by m.
61
Suppose 6*r + 995 = 17*r + 412. Suppose -3*j - 14 = t, -3*j = -0*t - 2*t + 17. Calculate the remainder when r is divided by 19*-1*(-2 + t).
15
Let w(t) = 2*t**2 + 7*t + 6. Let y(u) = 3*u**3 + 6*u**3 + 10*u**2 + 15*u + 2 - 20*u**3 + 9*u**3 + 3*u**3. Calculate the remainder when w(7) is divided by y(-5).
49
Suppose -5*o - 25 = 0, 2*r + 2*o = 3*r - 14. Suppose -128 = -r*f + 92. Calculate the remainder when f is divided by 14.
13
Let m = 26 - 20. Let k be (2 - 10/m) + (-82)/(-6). Let r(w) = w**2 - 15*w + 30. What is the remainder when 40 is divided by r(k)?
8
Let l be 0 + 5 - 6 - 3/(-1). Suppose 7*s - 640 = 2*s + l*o, -5*s - 5*o + 605 = 0. Calculate the remainder when s is divided by 43.
40
Suppose -172 = -206*y + 11158. Calculate the remainder when 631 is divided by y.
26
Let a = 2 + 3. Suppose 4*x = -4*s - 28, -28 - 6 = 4*s - 2*x. Calculate the remainder when s/(-6)*(27 + 6) is divided by a.
4
Let l(s) = -4*s**3 - 3*s**2 - 25*s - 56. Calculate the remainder when l(-3) is divided by 67.
33
Let x(d) be the second derivative of -1/12*d**4 + 5/6*d**3 - 3*d**2 + 0 - 10*d - 1/20*d**5. What is the remainder when x(-5) is divided by 18?
15
Suppose 2324 = 21*z - 784. Suppose 0 = -4*q + 13 + 19. Suppose 1460 = q*b + z. What is the remainder when b is divided by 33?
32
Let n(b) = -b**3 - 37*b**2 - 81*b + 742. Let z = -8 + 44. Calculate the remainder when z is divided by n(-34).
8
Suppose -8*z - 16 + 136 = 0. Let j(h) = 4*h - 1. Let s be j(1). Suppose -159 = -3*c - s*g, -4*g - g + 94 = 2*c. What is the remainder when c is divided by z?
12
Let h = 215 + -190. Suppose -5*i - 64 = -3*q, 5*i = h*q - 24*q - 28. Calculate the remainder when 28 is divided by q.
10
Suppose 5*f = 0, 0 = 4*q - f + 6*f - 68. Suppose -29*s + 30*s - 44 = 4*v, 4*v = 20. What is the remainder when s is divided by q?
13
Suppose 5*g + f = 18, -2*g - 4*f + 15 = -g. Suppose 63 - 12 = g*p. Suppose -p - 7 = -2*c. What is the remainder when 57 is divided by c?
9
Suppose 3*i + 45 = 2*a - 70, i = -3*a + 211. Calculate the remainder when 126 is divided by a.
58
Let s(n) = -n**2 + 12*n + 5. Let z = -89 + 100. Let o be s(z). Let u(w) = -w + 25. What is the remainder when 22 is divided by u(o)?
4
Let g = -184 - -60. Let i = g - -212. Suppose -243 = -5*l - i. Calculate the remainder when 89 is divided by l.
27
Let k(r) = 14 + 20*r - 5*r - r**2 + 14. What is the remainder when 81 is divided by k(15)?
25
Let f = -245 + 496. What is the remainder when f is divided by -6 + 4 + -4 + 460/((-10)/(-2))?
79
Let z(r) = 75*r + 339. Calculate the remainder when z(6) is divided by 62.
45
Let b(r) = -6*r - 45. Let m be b(-9). Suppose -m*o = 8*o - 204. Suppose 4*x - 196 = -2*q + 5*q, 5*x = q + 234. Calculate the remainder when x is divided by o.
10
Suppose 0 = -0*p - 4*p + 32. Suppose -13*n + p*n + 245 = 0. Suppose a - l = 148, 0*a = 3*a + 5*l - 428. Calculate the remainder when a is divided by n.
48
Let j = -39 + 42. Let p be 23/(-2)*(-7 - (-8 + j)). Suppose -67 = -3*w + p. Calculate the remainder when w is divided by 17.
13
Suppose 4*u = -16 + 28. Let i be u*((-14)/3 - -4). What is the remainder when 3*3/18 + (-197)/i is divided by 10?
9
Suppose -15*p = 8*p + 4416. Let f = p + 297. Calculate the remainder when f is divided by 27.
24
Let p be -1 + (-1)/1 - -11. Let w = 207 - 217. Let z = p - w. What is the remainder when z is divided by 11?
8
Let c(t) = t**2 + 27*t - 10. Let n be c(-29). Suppose -56*o + n*o + 360 = 0. What is the remainder when o is divided by 35?
10
Let c be (-3)/1*(-4 + 3 + 0). Suppose -12*k = -c*l - 14*k + 88, 4*k - 98 = -3*l. Calculate the remainder when 103 is divided by l.
25
Let f be ((-3)/54*-6)/(1/(-531)). Let t = f + 195. Suppose 10*u - 345 = 5*u. Calculate the remainder when u is divided by t.
15
Suppose 900 = -46740*k + 46744*k. Calculate the remainder when k is divided by 12.
9
Let g = -9830 + 9960. What is the remainder when 3639 is divided by g?
129
Suppose 5*v - 4 - 19 = -2*q, 4*v = -5*q + 83. Calculate the remainder when ((-693)/55 + 13)*(105 + 5) is divided by q.
6
Suppose 1249*l - 1207*l = 1008. What is the remainder when l is divided by 0 + 7/(21/48)?
8
Let i be ((-76)/(-3))/((-2)/3). Let q = 103 + i. Calculate the remainder when q is divided by 4.
1
Let i(h) be the third derivative of h**4/8 + 169*h**3/6 + 112*h**2 + h. What is the remainder when i(-25) is divided by 17?
9
Calculate the remainder when 8 - (-7 + 14) - (5 + -2763) is divided by 69.
68
Suppose -20068 = 32*g - 167*g - 38*g. Calculate the remainder when g is divided by 40.
36
Let g = 260 - 203. What is the remainder when g is divided by 23?
11
Let h(j) = 2*j + 10. Let q be h(-5). Let o be 10 + 1/1*q/4. Let v = 24 - o. What is the remainder when 65 is divided by v?
9
Let c = 1663 + -954. What is the remainder when c is divided by 144?
133
Let r = 19904 + -19424. What is the remainder when 2422 is divided by r?
22
Suppose 3*m - 6 = 0, -3*b = -5*b + m - 256. Let s = -108 - b. Suppose -n + 20 = -15. What is the remainder when n is divided by s?
16
Suppose -2*m - 171 = -3*m. Suppose u + 2*w - 2 = 0, 4*w = -3*u - 240 + 250. Suppose -u*d + m + 51 = 0. What is the remainder when d is divided by 24?
13
Suppose -2*d = -u + 113, 0 = u + 4*u - 4*d - 589