
59
Suppose 216 = -5*r - 3*i + 855, -5*r = -2*i - 624. What is the remainder when (-5 - -1)*r/(-8) is divided by 16?
15
Suppose -5*w + 47 = 42. Calculate the remainder when (5 + (-102)/4)/(w/(-2)) is divided by 24.
17
Suppose 2*c + 1 = p - c, 0 = -5*p - 3*c + 59. Let u(v) = 2*v + 1. Calculate the remainder when u(p) is divided by 12.
9
Let h(z) = z**3 + 2*z**2 + 2. Let f be h(-3). Let t = f - -9. Calculate the remainder when 11 is divided by (2/(-3))/(t/(-12)).
3
Let k(y) = 9*y + 1. Let a be k(1). Suppose 12*x = a*x + 30. Calculate the remainder when x is divided by 5 - ((-2)/(-1) - 1).
3
Calculate the remainder when (-117)/(-18)*6 - (-5 + 1) is divided by 12.
7
Suppose -4*h + 60 = 3*t, 33 = 2*t - 3*h + 10. Let v = 27 - t. What is the remainder when 32 is divided by v?
10
Let b = 278 - 84. What is the remainder when b is divided by ((-3)/(-3) - 2) + 40?
38
Let c(z) = z**2 + 9*z - 26. Suppose 3*j + 2*h = 2 - 48, 3*j - 2*h = -26. What is the remainder when c(j) is divided by 8?
2
Suppose 4*k = -0*k + 124. Suppose -5*a + 10*a - 25 = 0. Let p(w) = -w**2 + 6*w + 3. Calculate the remainder when k is divided by p(a).
7
Let w(d) = -29*d + 32 + 13*d + 15*d. What is the remainder when w(0) is divided by 18?
14
Let m(f) = 4*f**3 - 2*f**2 + 2*f - 24. What is the remainder when m(3) is divided by 39?
33
Let v = -25 + 49. Calculate the remainder when (-498)/(-14) + v/56 is divided by (-97)/(-5) + (-2)/5.
17
Suppose -4*j + 170 = -2. What is the remainder when 335 is divided by j?
34
Let n(k) = k**3 + 8*k**2 + 2. Let l be n(-6). Suppose 4*g = -b + 2*g + l, -4*g = 5*b - 382. What is the remainder when 50 is divided by (-3)/2*b/(-9)?
11
Let g = 377 - 372. What is the remainder when 58 is divided by g?
3
Let d(u) = -u**3 - 7*u**2 - 10*u - 15. Calculate the remainder when 124 is divided by d(-6).
7
Let k be ((-3)/(-2))/(33/88). Suppose v - 2*r = 2*v - 11, -k*r = 5*v - 55. Calculate the remainder when 131 is divided by v.
10
Suppose -8 + 9 = -s. Calculate the remainder when (-196)/(-5) + (-1)/5 is divided by (-15 - -14)/(s/10).
9
Suppose m - 5 = -2*q, 0 = -5*q - 0*m - 4*m + 14. Suppose 4*p + 77 = 3*l, -q*l = -2*p + 6*p - 18. What is the remainder when 54 is divided by l?
16
Let k = 765 + -764. What is the remainder when 2 is divided by k?
0
Suppose 86*a - 18824 - 60468 = 0. Calculate the remainder when a is divided by 71.
70
Suppose 5*z - 233 = -83. Calculate the remainder when z/(-20)*(-472)/6 is divided by 30.
28
Suppose -4*g + 17 - 77 = 0. Calculate the remainder when 30 is divided by g*(0 + -3 + 55/25).
6
Suppose 0 = 4*z - 8, -4*j - 3 = -5*j + 4*z. Let w(a) = -6*a - 6. Let y be w(j). Calculate the remainder when 40 is divided by (21/(-4))/(27/y).
12
Suppose 0 = -2*c + 3*s + 53, 3*s + 150 = c + 116. What is the remainder when 282 is divided by c?
16
Let c(g) = g**3 + 32*g**2 - 186*g + 4. What is the remainder when c(-37) is divided by 9?
5
Let c be 2*(-5)/4*-4. Suppose 5*a - c = 3*a. Suppose -2*v + 52 = 4*i + 2*v, -71 = -a*i - 3*v. Calculate the remainder when 46 is divided by i.
14
Let i = 32 + -32. Suppose i = -j - 4*j + 230. What is the remainder when j is divided by 25?
21
Suppose -5*s - 15 = -5*r, 0 = -4*s + 3*s. Suppose -4*t - o = 81, -3*t + 5*o - r*o = 58. What is the remainder when 58 is divided by 118/8 - 5/t?
13
Suppose 4*r + 0*y + y - 541 = 0, 0 = -2*r + 5*y + 265. Calculate the remainder when r is divided by 80.
55
Let b(o) = -o**3 - 5*o**2 - 7*o. Let y be ((-6)/4)/(33/(-44)). Suppose y + 8 = -2*k. Calculate the remainder when 139 is divided by b(k).
34
Suppose -6*w + 24 = -4*w. Let f = w + 65. Calculate the remainder when f is divided by ((-2)/(-12))/1 - (-952)/48.
17
Calculate the remainder when 179 is divided by 3 + (214/14 - (-8)/(-28)).
17
Calculate the remainder when 47 is divided by 120/(-200)*(-110)/6.
3
Let z be 1/(((-3)/(-43))/(-3)). Let y(q) = -q**2 + 3*q - 4. Let h be y(6). Let t = h - z. Calculate the remainder when t is divided by 12.
9
Let w = 291 + -277. What is the remainder when 17 is divided by w?
3
Suppose -2*r = 6, 4*r + 2 + 2 = -z. Let v = z - -17. Calculate the remainder when 48 is divided by v.
23
Suppose -4*w - 3*y + 30 = -y, w = 5*y + 13. Let g(j) = 4*j - 18. Calculate the remainder when 54 is divided by g(w).
12
Calculate the remainder when 3*62 - (0 + 3 - 6) is divided by 19.
18
Let i(j) = -18*j**2 - j. Let z be i(2). Let a = -29 - z. Let b = 43 - 31. Calculate the remainder when a is divided by b.
9
Calculate the remainder when 107 is divided by (-9*1/(-2))/(15/90).
26
Suppose 3*i = i + 8. Let j(g) = g + i - g - 5*g. What is the remainder when 53 is divided by j(-3)?
15
Let m(r) = -7*r**2 - 83*r - 16. Calculate the remainder when 497 is divided by m(-11).
47
Let j(y) = 10*y + 2. Let w be j(1). Suppose w*v - 17*v + 115 = 0. Calculate the remainder when v is divided by (-2 + 1)*(1 - 14).
10
Let g be (-2 - 9/3) + 3. Let l(r) = -3*r**2 - 2*r - 2. Let y be l(g). Calculate the remainder when 22 is divided by (-40)/16*24/y.
4
Suppose -5*t + 43 + 57 = 0. Suppose -4 = 4*o + t. What is the remainder when 38 is divided by (-37)/(-3) - o/9?
12
Let i be 6 - (5 + -1) - (0 + -3). Suppose 16*l - 37 + i = 0. Calculate the remainder when l is divided by (-1)/(-4) + (-6)/(-8).
0
Let v(o) = -o**2 - 9*o + 171. What is the remainder when v(-12) is divided by 57?
21
Suppose -4*f = 2*d - 7*f - 135, -3*f = -15. What is the remainder when 153 is divided by d?
3
Let o = -66 - -170. What is the remainder when o is divided by 54?
50
Let n = 504 - 449. Calculate the remainder when 329 is divided by n.
54
Suppose -19*p + 26*p - 567 = 0. What is the remainder when 890 is divided by p?
80
Suppose -16*c + 357 = 4*j - 13*c, 3*c - 267 = -3*j. What is the remainder when j is divided by 46?
44
Suppose 61 = z + c, z - 96*c + 94*c = 46. Calculate the remainder when 101 is divided by z.
45
Suppose w = -5*c + 14, -2*w - 26 = -3*c - 28. Calculate the remainder when 21 is divided by w.
1
Let v(t) be the first derivative of t**4/4 + 2*t**3 - 21*t**2/2 - 12*t + 39. Calculate the remainder when v(-8) is divided by 10.
8
Suppose -468*g + 472*g = 76. What is the remainder when 71 is divided by g?
14
Let f be 3/(-9)*(-7 - 5). Suppose z + 51 = 3*h - 0*h, -f*z = 4*h - 68. What is the remainder when h is divided by 5?
2
Suppose 3*z + v - 203 = 0, 132 = 2*z + 8*v - 4*v. Calculate the remainder when z is divided by 33.
2
Suppose 2*r - g - 27 = -0*r, g = 3. Calculate the remainder when 57 is divided by r.
12
Suppose -2*q - 5*t = -0*q + 11, 5*t = q - 32. What is the remainder when 95 is divided by q?
4
Suppose v - o - 8 = -v, -v = -2*o - 7. Suppose v*f - 83 = -h, -108 = -0*f - 4*f - 4*h. Calculate the remainder when f is divided by (-2)/(-4) + 15/2.
4
Let a(r) = 2*r**2 - 5*r - 14. Let n be a(-2). Suppose 136 = 3*k + n*h - 21, 5*k = -5*h + 255. Calculate the remainder when k is divided by 13.
8
Let n(q) = 2*q**3 + 2*q**2 - 8*q - 7. What is the remainder when 162 is divided by n(3)?
39
Suppose v - 382 = -3*a, 0 = a + 4*v - 8*v - 149. Let j(t) = t**2 - 10*t + 12. Calculate the remainder when a is divided by j(10).
9
Calculate the remainder when (-10 + 63/7)*-117 is divided by 26.
13
Suppose -9*q + 2835 = 2709. Calculate the remainder when 37 is divided by q.
9
Suppose 3*b = 3*l + 2*l + 1, 11 = 3*b + 5*l. Suppose -8*k + 18 = -b*k. Calculate the remainder when 13 is divided by k.
1
Let a(t) = 138*t**3 - t**2 + 2*t. What is the remainder when a(1) is divided by 14?
13
Let h(d) = -d + 12. Suppose 3*x = -84 + 27. What is the remainder when 247 is divided by h(x)?
30
Let d = 227 - 211. Calculate the remainder when d is divided by 5.
1
Let z be (-1)/(-2) + 3/8*4. Suppose -z*m - 61 = -3*m - 3*k, -m - 2*k + 66 = 0. What is the remainder when m is divided by 27?
22
Let z(o) be the second derivative of o**5/20 - 5*o**4/12 - o**3/2 - 9*o**2/2 - 13*o. Calculate the remainder when (6/(-9))/((-2)/96) is divided by z(6).
5
Suppose -3*d - k + 3 = -5*d, -3*d + 3*k = 3. Let v(l) = -2*l + 0 - 2 - 3*l. Calculate the remainder when v(d) is divided by 5.
3
Let i(t) = 33*t + 5. Let n be i(5). Let z = 247 - n. Calculate the remainder when z is divided by 40.
37
Let o(m) = m**2 - 4*m - 3. Let d be o(5). Suppose 4*p - d*u - 24 = 0, -3*p = -2*p + u. Suppose 2*t = p*t - 40. What is the remainder when 78