pose 8*h - 3*h - 60 = 2*r, -3*h + 2*r = -36. What is the remainder when m/(-10) - (-3)/(-15) is divided by h?
10
Suppose 9 = 4*v - 7. Suppose 0 = v*k - 4*i - 56, -2*k - 26 = -5*k - 5*i. Suppose -6*l + 21 = -3*l. Calculate the remainder when k is divided by l.
5
Let w(c) = -c**3 + 7*c**2 + 8*c - 22. Suppose 2*x = 5*g + 4 - 0, 4*g = x - 2. Suppose -42 = -x*r - 0*r. What is the remainder when w(6) is divided by r?
20
Suppose -4*n - d + 7 = 0, -4*n + 0 = -3*d - 11. What is the remainder when 4 is divided by n?
0
Suppose -a - 2 = -33. Suppose -2*q + a = 3. Calculate the remainder when 40 is divided by q.
12
Let c(t) = -t**3 + t**2 + t + 13. Calculate the remainder when 64 is divided by c(0).
12
Let i be ((-6)/4)/(2/(-72)). Let v = 76 - i. What is the remainder when 65 is divided by v?
21
Suppose -81*t + 84*t = 15. Calculate the remainder when 63 is divided by t.
3
Let g(n) = -3*n**2 + 19*n**2 + 2 - 1. Calculate the remainder when g(1) is divided by 6.
5
Let v be (-3 + 0 - -6)*1. Suppose -100 + 286 = v*x. Calculate the remainder when x is divided by 21.
20
Suppose 0 = 3*q + 27. Let t be q + 7 - 2*-2. Suppose t*s + 56 = 3*s. Calculate the remainder when s is divided by 19.
18
Let z(x) be the third derivative of x**6/120 - x**5/15 - x**4/12 - x**3/3 + x**2. What is the remainder when -2 + 2 + 36 + 1 is divided by z(5)?
11
Suppose 0 = -3*k - 6 + 33. What is the remainder when 125 is divided by k?
8
Calculate the remainder when (9/1)/(4/24) is divided by 14.
12
Let v be (0*2/6)/(-1). Suppose v = -2*f + 6*f - 96. Calculate the remainder when f is divided by 13.
11
Suppose -1 = 3*m - 2*m. Let z = m + 15. Suppose h = 4*b - 107, b - 20 = -h - h. Calculate the remainder when b is divided by z.
12
Suppose -4*s = -2*s - 58. What is the remainder when s is divided by 10?
9
Let k be (4 - 1) + (-5 - -1). Let a = -5 + 10. Calculate the remainder when 16 + (k + -2 - 0) is divided by a.
3
Let r = -9 + 34. Calculate the remainder when 73 is divided by r.
23
Suppose b - 40 = -3*b. Let y = b + -6. Suppose -2*u = -3*j - 6*u + 49, y*u - 11 = -j. What is the remainder when j is divided by 10?
9
Suppose -4*m = 16, 0 = s - 2*s - 3*m. What is the remainder when s is divided by 9?
3
Calculate the remainder when (-342)/(-12) - 2/(-4) is divided by 15.
14
Let m = 27 - 23. Calculate the remainder when 5 is divided by m.
1
Let d = 10 - 6. Suppose -4*t = d*l - 6 - 18, 5*t + 12 = l. What is the remainder when 13 is divided by l?
6
Let m(q) = q**3 - 6*q**2 + 5*q + 11. Let x = 11 - 7. What is the remainder when m(5) is divided by x?
3
Let d(j) = j**2 + 2*j - 2. Suppose -3*z + 4 = -4*z. Let w be d(z). Calculate the remainder when 26/1 + w + -7 is divided by 7.
4
Suppose 5*w + 67 = 427. Suppose -3*j = -12, -1 = 3*b + 5*j - w. What is the remainder when 50 is divided by b?
16
Suppose -4*t + 4 = -80. What is the remainder when 81 is divided by t?
18
Let t(n) = -n**2 - 3*n + 2. Let i be t(-2). Suppose 3*s - 4*s = -i*k + 15, -5*s = -3*k - 10. Let y = 3 + -1. Calculate the remainder when s is divided by y.
1
Let a(p) = 6 - 2*p**2 - 9*p + 4*p**2 - p**2. Let x be a(8). What is the remainder when 2 is divided by (-3)/x + (-2)/4?
0
Let u = 80 - 55. Let j = 23 + -16. Calculate the remainder when u is divided by j.
4
Suppose -t + 29 = -i + 7, -t - 4*i = -37. Calculate the remainder when t is divided by 14.
11
Let i be -2 - -1 - 3/3. Let g(k) = -3*k**3 + 4*k**2 + 3*k + 1. What is the remainder when g(i) is divided by 9?
8
Let p = 0 - 3. Let v(m) = m**2 + 3*m - 3. Let i be v(p). Calculate the remainder when ((-46)/i)/2*3 is divided by 12.
11
Let v(c) = -3*c - 6. Let t(u) = 2*u**2 - 6*u + 6. Calculate the remainder when t(5) is divided by v(-5).
8
Let y(s) = -s**2 + 19*s + 8. Calculate the remainder when y(19) is divided by 2.
0
Let b = 2 - 1. Let v be (0 - (0 + b)) + 6. Suppose 0*z = v*z - 10. Calculate the remainder when z is divided by 1.
0
Let p(k) = -26*k**2 - 3*k + 2. Let a be p(1). Calculate the remainder when 25 is divided by (-2 - -44)*(-9)/a.
11
Calculate the remainder when 27 is divided by (0 - -3) + (-6)/(3 + -5).
3
Let u(r) = -r**2 - 11*r + 7. Let v be u(7). Let j = v + 196. Suppose 0 = -3*w + 224 - j. What is the remainder when w is divided by 17?
15
Suppose 3 = -3*y, -13 - 10 = -5*u + 3*y. Suppose -3*k + k = -3*g + 37, 3*k = 3*g - 33. What is the remainder when g is divided by u?
3
What is the remainder when 4/((-48)/(-21) - (0 + 2)) is divided by 4?
2
Let k = -1 - -1. Suppose -3*t - a = -k*a - 128, -t - 2*a = -51. Suppose h = -2*h + 42. Calculate the remainder when t is divided by h.
13
Let a(u) = u - 4. Let s = 0 + 6. What is the remainder when a(s) is divided by ((-1)/(-3))/((-1)/(-3))?
0
Let b(y) be the second derivative of y**5/20 - 5*y**4/12 + 5*y**3/6 - 3*y**2/2 - 19*y. Let k = -5 + 10. What is the remainder when b(k) is divided by 12?
10
Let o = 7 - 2. Suppose -12 = -o*v + 3. Calculate the remainder when 6 is divided by v.
0
Let u = -37 - -74. Suppose -2 = -v - 25. Let y = v - -42. What is the remainder when u is divided by y?
18
Let d = -9 - -40. Let z = 10 - -1. Calculate the remainder when d is divided by z.
9
Calculate the remainder when 140 is divided by (-4)/((-3)/12*(-3)/(-9)).
44
Let r(h) = -3*h + 19. What is the remainder when 5 is divided by r(5)?
1
Let p = 7 - 35. Let k be (-2)/(-7) + (-48)/p. Suppose -x - 56 = -4*v - 4*x, 5*v + k*x = 63. Calculate the remainder when 21 is divided by v.
10
Suppose 4*s + 4*o - 64 = 0, 5*s = 5*o + 16 + 24. What is the remainder when 33 is divided by s?
9
Calculate the remainder when 16 is divided by 6/(-24) - 41/(-4).
6
Let a(m) = m**3 + 7*m**2 + 8*m + 4. Calculate the remainder when a(-5) is divided by (-4)/(-10) + (-152)/(-20).
6
Let y = 130 + -74. Calculate the remainder when y is divided by 12.
8
Let i be (-2)/10 - 362/(-10). Suppose 2*s + i = 3*f - 12, 3*s = -4*f + 81. Calculate the remainder when 69 is divided by f.
15
Let n(f) = f**2 + 7*f + 6. What is the remainder when n(-7) is divided by 3?
0
Suppose -k - 10 = -b, -2*b = 4*k - 7*k - 24. Calculate the remainder when 23 is divided by b.
5
Suppose -35 = -4*y + 57. Let a = -10 + y. Calculate the remainder when 37 is divided by a.
11
Suppose 0*m + 5*m - 125 = -4*a, 0 = m - 3*a - 25. Calculate the remainder when 98 is divided by m.
23
Calculate the remainder when (-10 - -12)*((-78)/(-3) + 0) is divided by 14.
10
Suppose -43*c + 34*c = -99. Let k(v) = 2*v + 6. Let m be k(6). Calculate the remainder when (2 - 1) + 1 + m is divided by c.
9
Let u be (-3)/3 - (-1 + -126). Suppose 14*r = 17*r - u. What is the remainder when r is divided by 11?
9
Let w(d) = d + 3. What is the remainder when 32 is divided by w(6)?
5
Let d = 8 + -5. Suppose 0 = -3*f - 1 + 10. Suppose -f*b - d = -12. What is the remainder when b is divided by 2?
1
Let n(c) = -c**3 + c - 2. Let y be n(-2). Suppose 8 = y*z, -37 = -4*g - 4*z + 75. Calculate the remainder when g is divided by (-124)/(-9) - 4/(-18).
12
Let k = 182 - 165. What is the remainder when k is divided by 7?
3
Suppose -2*g = -5*g + 2*r + 26, g - 14 = 2*r. What is the remainder when 4/10 + (-33)/(-5) is divided by ((-14)/g - -3)*6?
3
Let f = 85 + -83. Calculate the remainder when ((-10)/(-8))/(2/8) is divided by f.
1
Let k = -658 + 932. What is the remainder when k is divided by 25?
24
Let p = -6 + 13. Calculate the remainder when p is divided by 5.
2
Suppose -4*t = -2*d + 102, 2*t = -3*d + 6*t + 145. Calculate the remainder when d is divided by 11.
10
Let x(z) = z**3 - 8*z**2 + 6*z + 8. Suppose -8 = 3*v - 4*f + 2*f, 4*v - 3*f = -12. Suppose -2*u + v = -2. What is the remainder when x(7) is divided by u?
0
Let t(p) = 3*p + 7. Let l(w) = w + 2. Let r(z) = 14*l(z) - 4*t(z). Let o be r(5). Let k = o + -2. What is the remainder when k is divided by 5?
3
Let g(x) = -5*x**3 - 3*x**2 + 4*x - 3. Let k be g(2). Let t = -73 - k. Calculate the remainder when 15 is divided by t/(-2) - 3 - 2.
7
Let u(m) = 3*m**2 - m + 7. Let v(h) = -h - 1. Let j(k) = -u(k) - 4*v(k). Let n be j(3). What is the remainder when 4 is divided by 3/((-9)/n) + -2?
1
Suppose -3*p + 4*k = -24 + 6, 2*k = 3*p - 12. Suppose 10*v = 5*v + p*d + 43, 2*d - 2 = 0. What is the remainder when v is divided by (-2 + 1 + 2)*4?
1
Let q(j) = 26*j**3 - j + 1. Let x be q(1). Let c = -7 + x. Let v = 122 + -