. Suppose 5*t - 46 = 2*s, 0*t - k*s = 2*t - 7. What is the remainder when t is divided by 4?
0
Let b(g) = 35*g - 7. Suppose 0 = 3*d + s - 4, 5*d - 2*s = -0*s + 25. Suppose -u + 4 = d*u. Calculate the remainder when 78 is divided by b(u).
22
Let n be 8 + (-7)/((-21)/(-18)). Suppose 0 = -5*z + n*y + 2450, 2*z - z + 3*y - 490 = 0. Calculate the remainder when z is divided by 41.
39
Suppose 3*j - 30011 = -4*t, 15 = -428*t + 431*t. Calculate the remainder when j is divided by 200.
197
Suppose 200 = -54*u + 59*u. Suppose -2*w - 2*f + 60 = 0, 18 + u = 2*w + f. Suppose w - 112 = -3*x. Calculate the remainder when x is divided by 3.
1
Let c = -3412 + 3455. What is the remainder when 422 is divided by c?
35
Let d(l) = -321 + 18*l + 127 + 138. Calculate the remainder when 80 is divided by d(5).
12
Suppose -101 - 43 = -9*g. Suppose -5*m + 2*t = -0*m + 11, 2*m + g = -5*t. What is the remainder when 45 is divided by (-1)/(-4 - m)*23?
22
Let l be 4*(3/(-2) + 2). Let w(j) be the third derivative of j**4/4 - 5*j**3/6 - 560*j**2. Calculate the remainder when 97 is divided by w(l).
6
Suppose -3*b - 219 = 6*a - 7*a, 139 = -2*b + 3*a. Let t = -43 - b. Calculate the remainder when 278 is divided by t.
30
Let t = -6065 - -6087. What is the remainder when 477 is divided by t?
15
Suppose 0 = -2*j + 3*r, 2*r - 6 = 2*j - 10. Calculate the remainder when 67 is divided by (-1)/(j - 910/150).
7
Suppose 2*m = 10, -2*x + 3*x + 17 = 4*m. Suppose -8*n + 3729 = x*n. What is the remainder when n is divided by 38?
35
Suppose -8*u - 58 = -210. Suppose w - 421 = -b, -u*b + 24*b - 2103 = -4*w. Calculate the remainder when b is divided by 12.
11
Suppose -466 = -3*l + o, 2*o + 241 - 713 = -3*l. Suppose -89 = -7*i + l. Calculate the remainder when i is divided by 15.
5
Suppose -9541*q + 9545*q = 16. Let i = -3 - -4. Calculate the remainder when q is divided by i.
0
Let h = -110 - -219. Suppose -1452 = 9*a - 1542. What is the remainder when h is divided by a?
9
Suppose 2*y = 4*f + 84, -3*y - f + 102 = -38. Let d(r) = r**2 + 6*r + 4. Let z be d(-7). Suppose 9*q = z*q - y. Calculate the remainder when 64 is divided by q.
18
Let s be (-234)/(-780) + (-4546)/20. Let g = s + 624. Calculate the remainder when g is divided by 20.
17
Suppose -166 + 223 = 9*r - 717. Calculate the remainder when 1805 is divided by r.
85
Let m = -853 + 1270. What is the remainder when m is divided by 131?
24
Let g(h) = -h**3 - 9*h**2 - 9*h - 6. Let b be g(-8). Suppose -j = 2*a + 7, -b*j - 2 - 4 = 0. What is the remainder when 468/(-9)*a/4 is divided by 14?
12
Suppose 42 = 4*y - 30. Suppose -6*n = -12 + y. Let x(r) = -11*r**3. Calculate the remainder when 85 is divided by x(n).
8
Suppose 4*j + j - 5*v - 15 = 0, j = -4*v + 8. Let b(x) = -x**3 - 5*x**2 - 2*x + 4. Calculate the remainder when (5/10)/(j - 1197/300) is divided by b(-5).
8
What is the remainder when ((-207)/12 - 5)*-4 is divided by (-4108)/(-130) + (-32)/20?
29
Calculate the remainder when 690 is divided by (-10)/75 - (-8 + 13782/(-90)).
46
Suppose 0 = 2*n + 58*n - 3420. Calculate the remainder when n is divided by 46.
11
Let p(a) = -67*a**3 + 10*a**2 - 2*a - 3. What is the remainder when p(-1) is divided by 22?
10
Let m(z) = 32*z**2 - 8*z + 12. Let l(h) = 21*h**2 - 5*h + 8. Let v(y) = 8*l(y) - 5*m(y). What is the remainder when 179 is divided by v(2)?
35
Suppose 6*g - 4*y - 2452 = 2*g, 0 = -3*y + 9. Suppose -23*o = -16*o - g. Calculate the remainder when o is divided by (28 - (-1)/1) + 2.
26
Let k(v) = -v**3 - 18*v**2 + 39*v - 18. Let f be k(-20). Suppose 2*y + 31 = -3*h + 50, -3*h - 1 = -f*y. What is the remainder when 98 is divided by y?
3
Calculate the remainder when 4*(12 - 177/(-6)) is divided by 28/3 + (-4)/(-6).
6
Let j(t) = -2*t + 1. Let c = 4 + 0. Suppose -f + 32 = c*h + f, -2*f + 4 = 0. What is the remainder when j(-8) is divided by h?
3
Let n(a) be the second derivative of 2*a**4/3 + 4*a**3/3 + 7*a**2 + 180*a. What is the remainder when 371 is divided by n(-3)?
61
Let o(b) = -23*b + 167. Suppose -645*p = -638*p - 147. Calculate the remainder when o(0) is divided by p.
20
Suppose 4*k = -l + 321, -k - 155 - 166 = -l. Let b = l + -298. Calculate the remainder when 127 is divided by b.
12
Suppose 2*v - 728 = 3*m + 1339, v = -4*m + 1039. Let i(l) = l**2 - l - 5. Calculate the remainder when (2/6)/(5/v) is divided by i(5).
9
Let v(q) = -2*q**2 + 87*q + 597. Calculate the remainder when 1970 is divided by v(49).
56
Suppose 0 = 7*a + 41 - 916. Suppose -5*y + 10*y = a. Suppose 0 = 17*f - 13*f - 36. Calculate the remainder when y is divided by f.
7
Suppose -1130*h - 28850 = -1135*h. Suppose 0 = 17*s - h - 2084. Calculate the remainder when s is divided by 93.
90
Suppose -3*f + 21 = 2*f - 2*p, -3*f - 4*p = 3. Suppose 2*n - 2*i = 590, f*n - 458 = -4*i + 448. What is the remainder when n is divided by 60?
58
Let t be (4 - (-27)/(-4))*4. Let o = 53 + -26. Let w = o + t. What is the remainder when w is divided by 13?
3
Let x(m) = 254*m + 1. Let i be x(3). Suppose 2*r = -5*r + i. Let y = r - 80. Calculate the remainder when 57 is divided by y.
28
Let i(d) = -4*d - 3. Let g be i(-2). Suppose 0 = -g*f + 132 + 453. Calculate the remainder when f is divided by 11.
7
Let a = -73 - -51. Let z = 93 - 38. Let l = a + z. What is the remainder when l is divided by 17?
16
Let u(n) = -21*n**2 + 102*n + 4. Calculate the remainder when 566 is divided by u(3).
82
Suppose -2*y - 2*k = -34, y + 0*k = -4*k + 29. Let z = -51 - -57. Suppose 9 = -z*x + 147. Calculate the remainder when x is divided by y.
10
Let o = -22 + -29. What is the remainder when -6*((-18)/(-27) - o/(-9)) is divided by 10?
0
Let b = -2612 - -3089. Calculate the remainder when b is divided by 97.
89
Suppose 9*x - 4490 - 7651 = -62*x. What is the remainder when 820 is divided by x?
136
Let r = 2264 - 1823. Calculate the remainder when r is divided by 16.
9
Let o be -151*(-6 + 5 + -6). Suppose -4*n - o = -5*i, -6*i + 4*i - 4*n = -406. Calculate the remainder when i is divided by 70.
69
Let y(k) = 27*k + 5. Suppose 30*s - 1282 = -22*s - 762. Calculate the remainder when y(3) is divided by s.
6
Let o = 2143 - 1252. Suppose 0 = 6*i - 9*i + o. Suppose -i + 115 = -t. What is the remainder when t is divided by 47?
41
Calculate the remainder when (2111 - (-13 + 5))/(0 - -1) is divided by 46.
3
Suppose 4*m - 345 = -69. Calculate the remainder when m is divided by (-40 + 35)*(2 - 4).
9
Let p = -1567 - -1679. Calculate the remainder when 3132 is divided by p.
108
Let w = -648 - -102. What is the remainder when 1*86*-12*(-2)/48 is divided by (-1)/(-4) - w/24?
20
Let i be ((-12)/(-10))/((10/25)/(-2)). What is the remainder when 44 is divided by -4 - (-1)/(i/(-174))?
19
Let d(v) = v**2 - 21*v - 46. Let r(n) = 9*n**2 + 0*n**3 - n**3 + 34 - 4*n**2 - 28. Let s be r(3). What is the remainder when d(s) is divided by 7?
5
Let x(l) be the third derivative of -l**4/24 + 25*l**3/6 - 2*l**2. Let h = 4040 + -4024. What is the remainder when 9 is divided by x(h)?
0
Let q(b) = 4*b**2 - 2*b - 14. Let v = -117 - -121. What is the remainder when 165 is divided by q(v)?
39
Suppose 5*v = z + 78, z + 33 = 3*v - v. Let m = v - 13. Suppose 5*w - 35 = -4*s + m*s, -w + 30 = 5*s. What is the remainder when s is divided by 2?
1
Suppose 0 = -3*i + x + 427, 0*x = 7*i + x - 983. What is the remainder when i is divided by 48?
45
Let y = -204 - -231. Let m be 5/10*(-1 + 35). Let v = y - m. What is the remainder when 14 is divided by v?
4
Let j = -982 - -1506. Suppose 3*w - 5*w - k = -521, -2*w = -2*k - j. What is the remainder when w is divided by 24?
21
Suppose -24 = -15*x + 9*x. Let l be (x/(-4))/((-3)/(-189)) + -3. What is the remainder when 4 is divided by 2 - ((-12)/l + 4/(-22))?
0
Let j(c) = -273*c - 194. Suppose -2*u + 135 = u - 2*h, 3*u - 5*h - 135 = 0. What is the remainder when j(-1) is divided by u?
34
What is the remainder when 1741 is divided by (-3)/17*-261 - (-4)/(-68)?
39
Let l(g) = 4*g - 8. Let r be l(7). Let w be (r/8 - 1)*2. Suppose -w*a + 2*a + 9 = -3*v, 0 = -v + 5. What is the remainder when 119 is divided by a?
23
Let f be 1 + 4*-2*1. Let l(d) be the second derivative of d**4/12 + d**3 + 2*d**2 - 1389*d. Calculate the remainder when 30 is divided by l(f).
8
Let a(g) = -g**2 - 11*g + 5. Let c be a(4). Let k = -43 - c. Let w =