x be (-21)/(-28) - (-43)/(-4). Let t = 34 + x. Calculate the remainder when 45 is divided by t.
21
Suppose 4*q = 3*b - 12, 0*q = -q - 4*b + 16. Suppose q*h + 3*h = 102. Calculate the remainder when h is divided by 2/(-6) - (-40)/3.
8
Let y = 10 - 10. Suppose y = 3*o - 11 - 22. Calculate the remainder when (-82)/(-10) - o/55 is divided by 5.
3
Let r be 1 + -4 + 17 + 0. Let v be 35/r*(-4)/(-2). Suppose 0 = 3*w + 2*g - 25 - 5, 0 = -w + v*g - 7. Calculate the remainder when 30 is divided by w.
6
Let j(s) = s**2 - 10*s + 25. Let y be j(7). Suppose 70 = y*u - 22. Calculate the remainder when u is divided by 13.
10
Let r(s) = 99*s + 22. Calculate the remainder when r(3) is divided by 16.
15
Suppose 2*j - 4 = 0, j - 1157 = -5*u + 910. What is the remainder when u is divided by 83?
81
Let o = 154 - 107. Let y(n) = 77*n - 69. What is the remainder when o is divided by y(1)?
7
Let w be (-4)/(-5)*(-220)/(-8). Suppose 0 = -3*f - z + 14, -f - 5*z - 10 = -38. Suppose -17 - w = -f*p. What is the remainder when p is divided by 3?
1
Let j = -204 - -224. Calculate the remainder when 64 is divided by j.
4
Suppose 150 = -5*d - 100. Let h = 40 - d. What is the remainder when h is divided by 7?
6
Suppose -5*q + 10*q - 20 = 0. Suppose -q*n = -5 - 11. Suppose -3*f = -4*s + 3*s - 78, -5*s = n*f - 104. What is the remainder when f is divided by 9?
8
Suppose -5*i - 560 = -3*n, 3*n + 108 = -2*i + 682. Calculate the remainder when n is divided by 16.
14
Suppose 8 = -3*l + 5*l. What is the remainder when 58 is divided by 3*6 + (-8)/l?
10
Let n be ((-12)/(-5))/((-28)/(-280)). Calculate the remainder when ((-106)/(-4))/(1/2) is divided by (-170)/(-6) + ((-176)/n - -7).
25
Suppose 16 = 4*u + d, 1 = -u - 3*d + 5. Suppose -28 = -r + 4*x, -u*r + x + 50 + 17 = 0. Calculate the remainder when 63 is divided by r.
15
What is the remainder when 170 - 2/(111/(-21) + 5) is divided by 23?
16
Suppose -4*u = -y + 33, -y + 21*u - 23*u + 27 = 0. What is the remainder when y is divided by 10?
9
Suppose 5*r = 5 + 75. Suppose s - r = -0*s. Suppose 2*c - 12 = 5*l + 6, -3*l - 9 = -c. Calculate the remainder when s is divided by c.
7
Suppose m = 2*m - 8. Let v = 638 - 451. Let a = -148 + v. Calculate the remainder when a is divided by m.
7
Let g = 2 - 4. Let s(r) be the second derivative of r**4/2 + r**3/6 + 7*r. Calculate the remainder when s(g) is divided by 12.
10
Let z = 842 + -793. Calculate the remainder when 74 is divided by z.
25
Let v(x) = -10*x + 1. Suppose -6 = -2*t, -2*t + 9 = 2*g - t. Suppose -g*k - k + 76 = 0. Calculate the remainder when k is divided by v(-1).
8
Suppose -462 = -40*i + 34*i. Calculate the remainder when i is divided by 39.
38
Suppose 149*i - 144*i - 100 = 0. Calculate the remainder when i is divided by (2/(-4))/((-3)/66).
9
Let r(m) = -m**3 - m + 3. Let c be r(-3). Let f(v) = -v**2 - 8*v. What is the remainder when 2 + -1 + -5 + c is divided by f(-4)?
13
Let z(a) = 32*a**2 - 71*a + 359. What is the remainder when z(5) is divided by 81?
75
Suppose -24 = 3*l - 24. Suppose l = -5*i - 5*h + 135, -125 = -5*i + 3*h + 50. What is the remainder when i is divided by 12?
8
Let a(l) be the first derivative of l**2/2 + 50*l + 86. Suppose -5*b = -b. What is the remainder when a(b) is divided by 26?
24
Calculate the remainder when (-2)/(9/((-2754)/12)) is divided by 16.
3
Let c(y) = y + 5. Let r = -650 + 658. Calculate the remainder when r is divided by c(0).
3
Let a = 296 + -220. What is the remainder when a is divided by 10?
6
Let n = 100 + -53. What is the remainder when 233 is divided by n?
45
Suppose -465 = 31*j - 2511. What is the remainder when 261 is divided by j?
63
Let m be 1*(4 - (-1 - -2)). Suppose 0 = 2*r + 2*n - 20, -2 = m*r - n - 32. Calculate the remainder when 38 is divided by r.
8
Let v = 11 - -182. Calculate the remainder when v is divided by 53.
34
Suppose -4*x + 6*x = 38. Calculate the remainder when x is divided by 7 + -6 - (4 + -7) - -1.
4
Let y = 2803 - 1613. Calculate the remainder when 34/(-187) + y/11 is divided by 14.
10
Suppose b + 16 = 3*a + 2, -3*b - 3*a + 6 = 0. Let r be (3 + (-8)/2)*-7. What is the remainder when 15 is divided by (r - 3)/(-4)*b?
1
Calculate the remainder when 5726/98 - ((-27)/21)/(-3) is divided by 14.
2
Let z = 2 + 23. Suppose -4*v = -10*v. Suppose v = -2*o - 3*o + 45. Calculate the remainder when z is divided by o.
7
Let t(a) = -a**2 - 5*a + 15. What is the remainder when t(0) is divided by (18/(-5))/((-14)/35)?
6
Let o(s) = -s**2 + 25*s - 39. What is the remainder when o(23) is divided by 1?
0
Let f = -740 - -804. What is the remainder when 115 is divided by f?
51
Suppose -2*m = -m - 16. Let n = 67 - 25. Suppose c = 5*c + 20, 4*c - n = -2*k. What is the remainder when k is divided by m?
15
Let a be 0 - (2 + -1) - -5. Let f = 9 - a. Suppose f*z - 4 = 11. What is the remainder when 9 is divided by z?
0
Let d = -1111 + 1118. What is the remainder when 173 is divided by d?
5
Suppose -18*x = -50 - 94. Suppose 5*y = -3*z, -y - 4*y - 10 = z. What is the remainder when x is divided by z?
3
Let u(x) = -3*x**2 - 36*x - 19. Calculate the remainder when 153 is divided by u(-10).
30
Let x = -59 - -69. Suppose -66 = -3*z + 4*i + x, -2*i = 3*z - 88. Let r(d) = 2*d**2 - 8*d - 9. Calculate the remainder when r(8) is divided by z.
27
Let o(q) = q**2 + 5*q + 5. Let p be o(-5). Suppose p*d = 3*d + 40. Suppose 5*g = -0*n - 4*n + d, -5*n + 16 = 4*g. What is the remainder when 10 is divided by g?
2
Suppose 0 = -63*r + 60*r + 174. Suppose r = 3*j + 13. Calculate the remainder when j is divided by 10.
5
Suppose 0 = -0*m + 5*m. Suppose m = -b + 50 - 12. What is the remainder when b is divided by 13?
12
What is the remainder when 120 is divided by (16/(-72))/((-2)/522)?
4
Calculate the remainder when 2961/2 - (10 + 289/(-34)) is divided by 40.
39
Suppose 7*p = -5*u + 2*p + 40, -5*p = 4*u - 37. Suppose u*l - 43 = -4. Suppose -w + 51 - l = 0. Calculate the remainder when w is divided by 10.
8
Let l = 4 + -13. Let m = 14 + l. Suppose -6*v + 5 = -m*v. What is the remainder when v is divided by 4?
1
Suppose -18*f - 2449 + 12367 = 0. What is the remainder when f is divided by 69?
68
Let c be 7/3 + (-52)/39. Let m(t) = -t**2 - 14*t + 7. Calculate the remainder when m(-10) is divided by c*-1 - (-14 - 5).
11
Let f(c) = 26*c**2 + 2*c - 7. Let r be f(-4). Suppose -3*t - t = -3*z + r, 5*z + 4*t = 647. Calculate the remainder when z is divided by 19.
17
Let w(p) = p**2 - 6*p + 34. Calculate the remainder when 163 is divided by w(9).
41
Let n(q) = -5*q - 27. Let f be n(-11). Let d = f + 12. What is the remainder when 118 is divided by d?
38
Suppose -4*t - l + 4*l = -267, -5*l + 127 = 2*t. Let s = -434 - -451. Calculate the remainder when t is divided by s.
15
Let p be (20/3)/((-14)/(-105)). What is the remainder when (2 + -2)/2 + 79 is divided by (-14)/(-35)*1*p?
19
Suppose -3*i - 3*p + 1 = 2*i, 5*i = p + 13. Let u(x) = -3*x - 3*x + 2*x + 5 + 2*x**i - 4*x. What is the remainder when 29 is divided by u(5)?
14
Let l(h) = -16*h**2 + 2*h**2 + 3 + 11*h + 6*h**2 + 6*h**2. Calculate the remainder when 15 is divided by l(5).
7
Let b(c) = 26*c - 10. Calculate the remainder when 78 is divided by b(1).
14
Suppose -4*s + 10 - 2 = 0. Suppose -s*j = -34 - 32. Suppose 0*g = -3*g + j. Calculate the remainder when g is divided by 7.
4
Suppose -759 = -5*c + 2*c. Suppose -4*s + c = 93. What is the remainder when s is divided by 7?
5
Let m be 36 + (0 - (2 - -2)). Let o = 37 - m. What is the remainder when 5 is divided by o?
0
Suppose -37 = -5*c + 4*g - 1, 4*g = 2*c - 12. What is the remainder when 54 is divided by c?
6
Suppose -4*a + 5*t + 68 = 0, 4*a - 11*t + 10*t - 68 = 0. Suppose a*c - 56 = 3*c. What is the remainder when 66 is divided by c?
2
Suppose 16*s = 19 + 45. Suppose 3*l = 2*l - s*a + 2, 2*a + 8 = l. What is the remainder when 22 is divided by l?
4
Let g(o) = o**2 + 42*o + 1. What is the remainder when 142 is divided by g(-43)?
10
Let r(f) = 89*f**2 - 6*f + 4. What is the remainder when r(1) is divided by 21?
3
Let n(p) be the third derivative of p**4/4 - p**3/6 - 8*p**2. Let z = -2 - -4. What is the remainder when 21 is divided by n(z)?
10
Let l(j) = j**2 + j - 8. Let h be l(3). Suppose -h*s = -10*s + 36. Let y = 16 - 13. What is the remainder when s is divided by y?
0
Su