
36
Let p be 390/60 + (-2)/(-4). Suppose -5*c - 1075 = -5*v, -10*v - 2*c + 620 = -p*v. What is the remainder when v is divided by 43?
38
What is the remainder when ((-11894)/(-228))/((35/30)/7) is divided by 18?
7
Let w = -23701 - -23760. Calculate the remainder when 789 is divided by w.
22
Let j = 4510 - 3714. What is the remainder when j is divided by 253?
37
Let l(s) = 4*s - 4. Let m be l(3). Calculate the remainder when 231 is divided by (555/60)/(2/m) - -2.
36
Let g be (-42)/(-56) + 5/4. Suppose -3*z + 96 = -2*a, 8*z - 144 = 3*z - g*a. Calculate the remainder when (132/15)/(32/320) is divided by z.
28
Suppose 41218 = -6*k + 41926. What is the remainder when k is divided by 81?
37
Suppose -4*p + 7 = -11*p. Let f = p + 7. Calculate the remainder when 28 is divided by (-231)/(-44) - f/(-8).
4
Suppose -7019 - 2631 = -50*r. What is the remainder when 2700 is divided by r?
191
Let f(p) be the second derivative of -p**5/20 - p**4/4 - 7*p**3/6 - 13*p**2 - 21*p + 3. Calculate the remainder when f(-7) is divided by 45.
39
Let x be 17*(-1)/2*-38. Let p = 1651 - 1853. Let l = p + x. What is the remainder when l is divided by 31?
28
Suppose 2*p + 4*o - 1262 = 0, -3*o - 2*o - 645 = -p. Let b = 692 - p. Calculate the remainder when 127 is divided by b.
13
What is the remainder when 697 is divided by ((-18)/30 - -3)/(((-48)/135)/(-8))?
49
Let j = -10798 + 10896. What is the remainder when j is divided by 2*(-3)/(-6) + 33?
30
Suppose 90*t - 45*t - 5130 = 0. What is the remainder when 1021 is divided by t?
109
Suppose -4*k = 4*k. Suppose k = 5*c - 41 - 14. Suppose -c*u = -557 + 40. Calculate the remainder when u is divided by 19.
9
Let n(s) = s + 25. Let y be n(-17). Suppose -y*b + 9 = -7. Suppose -1 = -5*q + b*c + 67, 3*c - 17 = -q. What is the remainder when 52 is divided by q?
10
Suppose 5*j - 2*p = 3*j + 6, 5*j - 4*p = 16. What is the remainder when (j - -41)/(-2 + 3) is divided by 16?
13
Let p(w) = 2*w + 12. Suppose 13 = 3*y + 4*o - 0*o, 0 = -y + 5*o - 2. Calculate the remainder when p(y) is divided by 4.
2
Let v = -277 + 281. Suppose v*i + 396 = 15*i. What is the remainder when i is divided by 11?
3
Let r(q) = -q**3 + 8*q**2 - 7*q + 207. What is the remainder when 124 is divided by r(9)?
61
Let p(k) be the second derivative of 1/20*k**5 + 0 + 17/2*k**2 + 18*k - 3/4*k**4 - k**3. What is the remainder when p(10) is divided by 12?
9
Let f = 12946 - 12492. What is the remainder when f is divided by 59?
41
Let k = 332 - 327. Suppose -i = -k*u - 194, 5*u = -2*i + 341 - 13. Calculate the remainder when i is divided by 27.
12
Let l(o) = 8*o - 202. Let b = -619 + 645. Suppose 7*h - 2*h - 405 = 0. Calculate the remainder when h is divided by l(b).
3
Suppose 2*r - 4*g = 1646, -4*r + 3302 = 11*g - 9*g. Calculate the remainder when r is divided by 167.
157
Let o(r) = -2*r**3 - 4*r**2 + r + 2. Let k = 1519 + -1476. What is the remainder when k is divided by o(-3)?
9
Let h = 7323 + -7300. Suppose -3*l = -g + 4*g - 531, 2*g - 2*l = 370. What is the remainder when g is divided by h?
20
Let m = -47 - -48. What is the remainder when 56 is divided by m*2 + (1 - -16)?
18
Suppose -4*y = -3*q - 8 + 26, 6 = -2*y. Calculate the remainder when 73 is divided by 1 + (-1)/q*-76.
34
Let q = -30 - 28. Let k = q + 30. What is the remainder when (3 - 4)/(2/(-8)) - k is divided by 7?
4
Let q = -270 - -280. Suppose q*n = 3*n + 1057. What is the remainder when n is divided by 32?
23
Let m(x) = 262*x - 1121. What is the remainder when m(16) is divided by 58?
55
Calculate the remainder when (87*2)/((-136)/(-16) - 7) is divided by 2/(-3)*(-8)/((-24)/(-99)).
6
Let j(l) = 91*l - 607. Suppose 231 = 4*s + 3*k - 327, -2*s + 5*k = -266. Calculate the remainder when s is divided by j(7).
18
Let t(d) = -6*d**2 - 247*d - 14. Let a be t(-41). Let v(q) = q + 5. What is the remainder when 63 is divided by v(a)?
31
Let n(g) = -15*g - 159. Let p be n(-12). Suppose 9126 = p*c - 4965. What is the remainder when c is divided by 56?
55
Let j = 285 - 280. Suppose -j*a = 123 - 738. Calculate the remainder when a is divided by 65.
58
Suppose 49 = 37*h - 30*h, 414 = 5*z - 3*h. What is the remainder when 5478 is divided by z?
84
Let i be 1/14 - 3567/(-42). Suppose i*m = 112*m - 2727. What is the remainder when m is divided by 53?
48
Suppose 24 = s - 2*c, 3*s - 8*c + 5*c - 54 = 0. What is the remainder when 430 is divided by s?
10
What is the remainder when (10/8)/(75/31200) is divided by 257?
6
Let k = 872 - 535. Calculate the remainder when k is divided by 311.
26
Let n = 1570 - 1545. What is the remainder when 372 is divided by n?
22
Let f(i) = i**2 - i - 4. Suppose 0 = 113*v - 212*v + 8910. Calculate the remainder when v is divided by f(4).
2
Suppose -34*z + 1015 = -889. What is the remainder when 561 is divided by z?
1
Suppose -106*b + 254 = -1018. Let r(u) = 2*u**2 - 6*u - 9. What is the remainder when r(-8) is divided by b?
11
Let f(r) = r**3 + 3*r**2 - 6*r - 20. Let g be f(-6). Let a = 86 + g. Let w(u) = 2*u**2 + 10*u. Calculate the remainder when 44 is divided by w(a).
8
Suppose 2*y - 2*f - 544 = 304, 1752 = 4*y + 4*f. Calculate the remainder when y is divided by 149.
133
Suppose -597*v = -613*v + 4544. Suppose 5*q - 15 = -0. Suppose 5*d - v = 6*j - q*j, 4*d - 226 = 2*j. Calculate the remainder when d is divided by 19.
17
Suppose -f + 5*f - 252 = 0. Let y = -11 + f. Suppose -65 = -4*i - 9. What is the remainder when y is divided by i?
10
Let b(a) = -a**2 + 135*a - 4239. Let v(w) = -4*w - 5. Calculate the remainder when b(85) is divided by v(-4).
0
Suppose 3*c - 3*x + 510 = 0, -3*c - 5*x + 160 = 678. Let l = 242 + c. Let w = 131453 + -131444. Calculate the remainder when l is divided by w.
8
Let d(l) = -l**2 + 40*l + 81. Calculate the remainder when d(6) is divided by 88.
21
Let v = -23 + 35. Let g(b) = v + 4*b + 37 + 7 + 5. Calculate the remainder when 36 is divided by g(-11).
2
Suppose -25*z = 34*z + 7321 - 156886. What is the remainder when z is divided by 121?
115
Suppose -1 = p + 4*l, -p = -3*l - 6 - 0. Suppose 10 = -p*c + 76. Calculate the remainder when 1 + (-4)/(-16) - (-163)/4 is divided by c.
20
Suppose 0 = 2*p - 5*z + 7 - 10, 9 = 3*z. Let l(a) = -a**2 + 16*a - 25. What is the remainder when (3 - (-4)/2)*15 is divided by l(p)?
37
Suppose -30*j + 10 = -28*j. Let m = 8 - j. Suppose -10*v - m*v = -663. Calculate the remainder when 101 is divided by v.
50
Suppose 3*d - 88 = 47. Let o be -2 - -2*(-6 + 7). Suppose 3*b - 4*i = 40, 4*b + i = -o*b + 66. What is the remainder when d is divided by b?
13
Let d(a) = 14*a + 7*a + 11*a**2 - 24*a + 10. What is the remainder when d(4) is divided by 46?
36
Let w(t) be the second derivative of 3*t**3 + 4*t**2 + 15*t. Let h be w(-5). Let d = h + 122. Calculate the remainder when d is divided by 21.
19
Suppose 6*x - t = 1840, 32*x - 648 = 30*x - 4*t. Calculate the remainder when x is divided by 255.
53
Let f(v) = v**2 + v + 4. Let k be f(0). Let q(a) = 32*a - 49. What is the remainder when 235 is divided by q(k)?
77
Suppose -2078*r + 1989*r = -7565. What is the remainder when r is divided by 45?
40
Calculate the remainder when 115 is divided by (-45)/(-75) + 785/25.
19
Suppose -16*r - 123 = -20*r - l, l - 65 = -2*r. Calculate the remainder when r is divided by 16.
13
Suppose 0 = 166*m - 169*m - 2*q + 446, 5*m - 3*q - 775 = 0. Calculate the remainder when 898 is divided by m.
138
Let r be (4 - 8) + 1/(-1)*-109. Let b = r - 36. What is the remainder when b is divided by 18?
15
Let z(s) = -s**3 + 4*s**2 + 7*s - 5. Let m be z(5). What is the remainder when 96 is divided by -4 - (m - (-5 + 23))?
6
Suppose 20*k - 1009 + 609 = 0. Calculate the remainder when ((-65)/20)/(-2 - 69/(-36)) is divided by k.
19
Suppose 5*a + w - 9 = -w, 0 = -w - 3. Let p = 5 + -1. Suppose 0 = -8*l + p*l - a*i + 97, -3*i - 15 = 0. Calculate the remainder when l is divided by 16.
12
Let u = 66 - 65. Let k(m) = 14 - 42 - 2*m + 11. Calculate the remainder when k(-12) is divided by u.
0
Suppose 50 = -18*x + 16*x. Let z = x + 72. Suppose 4*o - 2*r - 48 = 0, 3*r - 44 = -2*o - 12. What is the remainder when z is divided by o?
8
Suppose 0*p - 6*p = -72. Let f = p + 26. Let v = f - 19. Calculate the remainder when 75 is divided by v.
18
Suppose 615 = 2*g - 0*s + s, 5*g - 1530 = 5*s. What is the remai