
49
Let i = 4739 - 2132. What is the remainder when i is divided by 90?
87
Suppose 1 = -62*n + 61*n, 71879 = 4*z + 5*n. What is the remainder when z is divided by 86?
83
Let b be 0 - 1 - (-131 + -1). Let c = 14262 + -13899. Let j = c - b. What is the remainder when j is divided by 39?
37
Let r(m) be the second derivative of m**4/4 + 13*m**3/6 - 14*m**2 + 41*m. Calculate the remainder when 150 is divided by r(3).
36
Let u(d) = -3*d**3 - 8*d**2 - 21*d + 1. Let c be u(-5). Let g = c + -163. What is the remainder when g is divided by 24?
22
Let t(z) = 73*z + 3. Let v be t(-2). Let x = -53 - v. Let s = x + -46. Calculate the remainder when s is divided by 23.
21
Let s(j) = 3*j**2 + 14*j - 5. Let i be s(-5). Let b(v) = v + 24. Let f(l) = l - 1. Let d(c) = b(c) - 4*f(c). Calculate the remainder when 82 is divided by d(i).
26
Calculate the remainder when 5436 is divided by ((-42)/12*4)/((-60)/14 + 4).
46
Let p(v) = -8*v + 29. Let l(y) = -15*y + 57. Let h(g) = -4*l(g) + 7*p(g). Calculate the remainder when h(23) is divided by 1/3 + (-315)/(-27).
7
Suppose -2*s - j + 107 = 0, -24*j + 20*j = -3*s + 144. Calculate the remainder when 287 is divided by s.
27
Let n be 6/(-3) - 1386/22. Let y = n + 86. What is the remainder when (-1 - -3) + 59*2 is divided by y?
15
Let o(q) = -44*q**3. Let k be ((-1)/(-3))/(13/(-39)). What is the remainder when o(k) is divided by 15?
14
Suppose 3*n - 3 = 0, v - 2 = -2*n - 0. Let p(i) = i**3 - i**2 - i + 429. What is the remainder when p(v) is divided by 18?
15
What is the remainder when ((-96)/(-168)*42/20)/((-2)/(-530)) is divided by 57?
33
Suppose 591*n - 495*n = 5856. What is the remainder when (-527)/(-3) + 1/3 is divided by n?
54
Let v be 4/(-9)*(-180)/40. Let z = -149 + 274. Calculate the remainder when z is divided by (-43)/v*(-23 - -21).
39
Let i = -2419 - -2462. What is the remainder when 4729 is divided by i?
42
Let o(s) = 19*s**2 + s + 1. What is the remainder when (-3)/((-178)/(-470) + (-6)/15) is divided by o(-2)?
66
Suppose 5*l = 4*w - 8*w + 83, 0 = -2*l + w + 28. Suppose 0 = -5*u + q + 168, 0 = 5*q - 0*q + l. What is the remainder when u is divided by 12/((-4)/(-6) + 0)?
15
Let f(d) = -d**3 + 12*d**2 + 17*d + 20. Let n be f(16). Let y = n + 814. Calculate the remainder when y is divided by (1/(-3))/((-1)/51).
14
Suppose 4*x - 89*s - 1721 = -92*s, 3*s + 2158 = 5*x. What is the remainder when x is divided by 139?
14
Suppose -1816 = -29*b + 3404. What is the remainder when b is divided by 0 - 3/((-3)/37)?
32
Suppose b = -2*o - 6 + 3, -4*o + 3*b = -9. Suppose -l + 13 = q + 2, o = l - 3*q - 31. Calculate the remainder when (1 + -75)/(10/(-5)) is divided by l.
5
Let s = 266 + -266. Suppose k - 4*p = 1 + 18, 2*k - 29 = 5*p. Let q = k - s. Calculate the remainder when 26 is divided by q.
5
Let w be ((-1725)/(-46))/(((-18)/56)/(-3)). Let o = w + -274. What is the remainder when o is divided by 16?
12
Let a(i) = 2*i**3 - 4*i**2 - 3*i + 10. Let m be 0 + ((-6)/2)/(-1). Calculate the remainder when 398 is divided by a(m).
18
Suppose 3*n = 2*n - 1. Let o = n - -15. Suppose -v = -2*r + 2539 - 2254, -4*r = 3*v - 525. Calculate the remainder when r is divided by o.
12
Suppose 0 = 5*u + 10, -62*u + 59*u - 230 = -4*t. Let d = -3 - -112. What is the remainder when d is divided by t?
53
Let u = -100 - -100. Suppose 2*j - 54 = -4*c, -3 = -u*c + c - 5*j. Calculate the remainder when 71 is divided by c.
11
Suppose 170*r + 16791 = 749*r. Let q = 34 - 1. What is the remainder when q is divided by r?
4
Let u = 321 - 217. Suppose -4*d - u = -4*i, -3*i + 104 = i - 2*d. Calculate the remainder when i is divided by 4 + 6 + 16/(-4).
2
Let w(b) = 81*b**2 + 144*b - 479. Calculate the remainder when w(3) is divided by 195.
97
Let l = 230 + -159. Suppose 9*t + 8 = l. Calculate the remainder when 37 + (-3)/((-3)/2) is divided by t.
4
Suppose 2*y + 417 = r, 5*r + 2*y = 1257 + 840. Let g = 13947 - 13940. What is the remainder when r is divided by g?
6
Let m = 11 + -13. Let v = -468 - -474. What is the remainder when m/(-2 - 92/(-47)) is divided by v?
5
Let m(c) = -80*c - 3. Calculate the remainder when m(-2) is divided by 3/(-28)*-4*21896/408.
19
Suppose 39*v - 33596 = -9377. What is the remainder when v is divided by 51?
9
Let n = -5 + 27. Suppose -n = 4*u - 582. Let c = -94 + u. What is the remainder when c is divided by 8?
6
Suppose 0 = t + 32*t - 18*t - 5685. Calculate the remainder when t is divided by 76.
75
Let t(l) = l**3 + 5*l**2 + 6*l. Let z be t(-4). Calculate the remainder when 10 is divided by -4*(1 - 6*(-3)/z).
0
Suppose 7*m + 7614 = 5*t, 132*t - m = 127*t + 7572. Calculate the remainder when t is divided by 23.
18
Let a(f) = -f**2 - 11*f + 34. Let r be a(-13). Calculate the remainder when 3/(-6)*r*335/(-10) is divided by 17/(0 - 2/(-4)).
32
Suppose -15*t + 16*t - 16713 = -4*u, 0 = -t - 3. What is the remainder when u is divided by 37?
35
Let c(h) = 11*h + 1598. What is the remainder when c(23) is divided by 109?
107
Let b = -3674 + 5761. What is the remainder when b is divided by 23?
17
Let u(h) = 35*h - 1. Let x(b) = -b**3 - 35*b**2 - 2*b - 66. Let q be x(-35). Calculate the remainder when u(q) is divided by 38.
25
Let c = -101 + 389. Let d = -194 + c. Let o = d - 73. What is the remainder when 53 is divided by o?
11
Suppose 1263*w - 606 = 1260*w. Let p(a) = -a**3 + 10*a**2 + a - 13. Let c be p(10). Calculate the remainder when w is divided by (-1)/c*(-7 - -160).
49
Suppose 0 = -5*f + 6149*b - 6152*b + 420, -f + 140 = -5*b. Suppose -105 = -5*j + 5*w, 0 = j - 4*j - 3*w + 51. What is the remainder when f is divided by j?
14
Let g be -2*(-8 - (2 + -4 + 0)). Suppose -8 = g*q - 608. Calculate the remainder when q is divided by 24.
2
Let q(r) = -9*r**2 + 311*r - 168. Suppose y + 49 = 6*y - 3*h, 3*h + 27 = 3*y. What is the remainder when y is divided by q(34)?
1
Suppose 4*r - 18 = -10. Suppose -r*z + 4*z = 26. What is the remainder when 398/8 - 2/(-8) is divided by z?
11
Let z = -853 + 912. Suppose 0 = -3*s + s + 38. Let c = z - s. Calculate the remainder when 157 is divided by c.
37
Let k = 60 + 28. Let m = k + -73. Calculate the remainder when 117 is divided by m.
12
Suppose 3*n + 2*y = 97, -n + 2*y + 89 = 2*n. Suppose -44 = -18*b + 15*b + 4*x, -39 = -3*b + 3*x. Calculate the remainder when n is divided by b.
7
Suppose -149281 = -5*r - 730*y + 733*y, 3*r + 3*y = 89583. Calculate the remainder when r is divided by 20.
18
Suppose 411 = 4*s + w, 0 = -0*s - 3*s + 4*w + 294. Let h = s - 70. Suppose k = 4*p + 54, -5*p - 5 = 3*k - 201. Calculate the remainder when k is divided by h.
30
Suppose -m + 2 = -1. Suppose -11*b + m = -14*b. Calculate the remainder when 12 is divided by (b/(-3))/(2/24).
0
Let j(x) = -2*x**3 - 18*x**2 - 46*x + 55. What is the remainder when 739 is divided by j(-5)?
59
Let p(c) = 24*c + 158. Let v be p(-6). Suppose -128 = v*w - 996. Calculate the remainder when 195 is divided by w.
9
Let p be (1 - (-4)/(-10))*(28 + -23). Suppose 3*z = 6*j - j + 241, -p*j = -2*z + 162. What is the remainder when z is divided by (-32)/12*135/(-12)?
27
Let r = 55 + -52. Let h be r*20*1 + (-4)/(-2). Let q = 124 - h. What is the remainder when q is divided by 16?
14
Let v(j) = 1 + 0*j - 3 + 2*j + 1. Let s(c) = -2*c**2 - 37*c + 407. What is the remainder when s(-25) is divided by v(9)?
14
Suppose 5*a - 385 = -3*u, -2*a - 122 = -2*u - 276. What is the remainder when 447 is divided by a?
62
Let l be (17 + 1)/((-20)/(20/(-2))). Suppose -y = y - 12. Calculate the remainder when (l - (-15)/(-5)) + 4 is divided by y.
4
Suppose 0*o - o = -0*o. Suppose o = -7*h + 737 - 2. What is the remainder when h is divided by 22?
17
Let w(q) = 22*q + 1302. What is the remainder when 329 is divided by w(-55)?
53
Suppose -6*y - 24 = -9*y. Suppose -y*r - 20 = -4*r. What is the remainder when 115 - (-1 - 5/r) is divided by 39?
37
Let u be 63/49 + (-4)/14. Suppose -4*w = -u - 3. Calculate the remainder when (1 + -12)*(w + -2) is divided by 6.
5
Let j be ((-22)/(-6))/((-495)/(-162) + -3). Suppose -j*m = -72*m + 366. Calculate the remainder when m is divided by 24.
13
Let n = 17616 - 17143. What is the remainder when n is divided by 146?
35
Let y = -2 + 4. Suppose 0 = 4*n - 2*c - 46, 0 = 4*n + 5*c - c - 28. Calculate the remainder when (58/y)/1 - 0 is divided by n.
9