pose -4*c + b = -a. Calculate the remainder when 49 is divided by c.
15
Let q = -12 - -24. Let g = q - 8. What is the remainder when 13 is divided by g?
1
Let g be ((-5)/2 - -2)*4. Suppose 5*k + 2*y - 35 = 0, -k - 2*k + 2 = 5*y. Let b = k + g. What is the remainder when b is divided by 4?
3
Let l be 28 - (-3 + (4 - 3)). What is the remainder when 2 is divided by ((-10)/l)/((-2)/12)?
0
Let i(t) = 5*t - 2. Let d(a) be the third derivative of a**4/24 - 2*a**3/3 - 2*a**2. Let h be d(6). What is the remainder when 15 is divided by i(h)?
7
Let k = 19 + -9. Let g = -8 - -12. Suppose -3*w + 87 = -c, 0*w + g*w - c - 115 = 0. Calculate the remainder when w is divided by k.
8
Let r(v) = v**3 + 9*v**2 - v + 7. Calculate the remainder when r(-8) is divided by 20.
19
Let o = -24 - -27. Suppose -o*h = 1 - 49. What is the remainder when h is divided by 9?
7
Calculate the remainder when 33 is divided by (-4)/3 - (-50)/6.
5
Let z(q) = -q**3 + 8*q**2 - 6*q - 1. Let n be z(7). What is the remainder when 39 is divided by (n/2)/((-24)/(-80))?
9
Let w be 3/(-3) + 2 + -2. What is the remainder when w*2 - (-50 - 3) is divided by 13?
12
Calculate the remainder when 15 is divided by 26/8 - 3/(-4).
3
Let u = -2 + 12. Let t = u + -4. Calculate the remainder when 10 is divided by t.
4
Calculate the remainder when 32 is divided by (2/(-5) - (-55)/75)*51.
15
Suppose 3*d - 7 = -1. Let b be d + 2 - (-8)/4. Suppose 84 + b = 5*c. What is the remainder when 34 is divided by c?
16
Suppose -3*n - 304 = n. Calculate the remainder when n/(-10) - (-6)/15 is divided by ((-3)/(-4))/(2/8).
2
Let g = 10 + -6. Let j(q) = 5*q**2 + q - 1. Calculate the remainder when j(1) is divided by g.
1
Let f = 1 + -1. Suppose 558 = 5*b + s + 2*s, 2*b - 4*s - 244 = f. Calculate the remainder when 37 is divided by 2/3*b/4.
18
Let d(v) be the first derivative of v**4/4 + 3*v**3 + 9*v**2/2 - 2. Calculate the remainder when d(-7) is divided by 12.
11
Suppose -3*m + 6*m - 9 = 0. What is the remainder when m is divided by 1?
0
Suppose 5*o + 34 = k, 2*k + 5*o + 8 - 61 = 0. Let b(u) = 16*u - 1. Let t = 4 + -3. Calculate the remainder when k is divided by b(t).
14
Suppose -7*i - 68 = -9*i. What is the remainder when i is divided by 19?
15
Let x = -5 + 18. Calculate the remainder when x is divided by 5.
3
Suppose -6*s - 21 = -7*s. What is the remainder when 39 is divided by s?
18
Suppose 5*s + 5*s = 140. Calculate the remainder when s is divided by 8.
6
Let q = 99 + -74. What is the remainder when q is divided by 10?
5
Suppose 67 - 418 = -3*x. Calculate the remainder when x is divided by 17.
15
Let k(l) be the third derivative of l**4/12 + l**3/6 - 2*l**2. What is the remainder when k(6) is divided by 8?
5
Let s(r) = r**2 + 4*r - 41. Calculate the remainder when 35 is divided by s(6).
16
Suppose 0*l = 3*l + 6. Let f = 1 - l. Suppose 16 = 2*h + 8. What is the remainder when h is divided by f?
1
Let f be 7/((-2)/1 - -1). Let m = 38 - 34. Calculate the remainder when 0/(-2) + (0 - f) is divided by m.
3
Let c(g) be the second derivative of 0 + 2*g - 3*g**2 + 1/3*g**3 - 1/20*g**5 - 2/3*g**4. Calculate the remainder when c(-9) is divided by 15.
12
Let v(t) = -t**3 + 7*t**2 + 11*t + 3. What is the remainder when v(8) is divided by 6?
3
Let w(x) = -3*x - 8. Let d(j) = -j + 1. Let m(r) = -2*d(r) + w(r). Let k be m(-7). What is the remainder when (-5)/(-3)*(0 - k) is divided by 2?
1
Suppose 0 = 3*o + 2*s - 6, o + o - 4 = 5*s. Suppose -2*y = o*n - 38, -y - 1 = -n + 8. What is the remainder when (-13)/(0 + 3/(-9)) is divided by n?
11
Let u = 10 - 10. Suppose 0 = -2*c - u + 6. Calculate the remainder when 6 is divided by c.
0
Suppose -28 = -m - 5. Calculate the remainder when m is divided by 9.
5
Calculate the remainder when (14 + -2)*21/12 is divided by (-11)/(-4)*(0 + 4).
10
Let k(t) = -2*t + 9. Let w = -19 + 34. Calculate the remainder when k(-17) is divided by w.
13
Suppose -3*l + 3 = 4*d - 4, -5*d - 10 = 0. Suppose -5*x = -46 - 49. What is the remainder when x is divided by l?
4
Let f(r) = -r**2 - 13*r - 15. Calculate the remainder when 43 is divided by f(-10).
13
Suppose -48 = -5*t + 2*m, 4*t = -4*m + 37 + 7. Calculate the remainder when 49 is divided by t.
9
Let w(n) = n**2 + 4*n - 17. Calculate the remainder when 73 is divided by w(4).
13
Let u(p) = -2*p + 7. What is the remainder when u(-3) is divided by 3?
1
Let r be (1 - -4) + (-12)/6. Let d(p) = -9*p + 1. Calculate the remainder when d(-1) is divided by r - (4 - 0)/(-4).
2
Let v(z) = -186*z + 3. Let y be v(-2). Suppose -6*o = -o - y. What is the remainder when o is divided by 19?
18
Let f(n) = n**3 - 4*n**2 + 7*n - 23. Suppose -4*c + 3 + 9 = 0. Calculate the remainder when f(4) is divided by c.
2
Let j(g) = -g**2 + 7*g. Let x(a) = -a**2 + 5*a - 1. Calculate the remainder when j(4) is divided by x(2).
2
Suppose 4*q - 3*w = w + 88, 8 = -2*w. Calculate the remainder when 28 is divided by q.
10
Let i be ((-4)/(-6))/(1/78). Let r = i + -9. What is the remainder when r is divided by 22?
21
Let v = 52 - -11. Calculate the remainder when v is divided by 16.
15
Let r(f) be the third derivative of -f**5/60 - f**4/24 + 49*f**3/6 + 5*f**2. What is the remainder when r(0) is divided by 26?
23
Let y = 4 - 69. Calculate the remainder when (-10)/(-4) - 1/2 is divided by (-2)/13 - 75/y.
0
Suppose 3*x + 5*y - 61 = 0, x - 3*y - 9 = -x. Calculate the remainder when (-80)/x*(-30)/4 is divided by 13.
11
Let n(f) = f**3 - 16*f**2 + 17*f + 4. What is the remainder when n(15) is divided by 9?
7
Suppose j + 1 = -7. Let v = -4 - j. Let w(t) = -t**3 + 5*t**2 + t + 5. Calculate the remainder when w(5) is divided by v.
2
Suppose 2*h - 5 - 3 = 0. Suppose 2*v - 7 = 5*d, 3*d = h*v - 2*v - 9. What is the remainder when v is divided by 2?
0
Suppose -101 = -3*q + 4*m, 0*q - 5*m = -q + 30. What is the remainder when q is divided by 10*1 - 7/7?
8
Let i = -21 - -49. What is the remainder when 82 is divided by i?
26
Suppose 0*v - 4*v = 0. Suppose 4*g + 10 - 34 = v. Let b(t) = -t**3 + 6*t**2 - 7*t + 6. What is the remainder when b(4) is divided by g?
4
Let k(c) = -c**3 + 13*c**2 - 12*c + 4. What is the remainder when k(12) is divided by 3?
1
Suppose 0 = 2*t - 0*t - 152. What is the remainder when t is divided by 27?
22
Suppose 0 = 2*f + 17 - 33. Let j = -4 - -1. Let y(b) = -b**3 - 2*b**2 + 2*b. What is the remainder when f is divided by y(j)?
2
Let f be 466/(-10) + 6/(-15). Calculate the remainder when (-1)/(-1 + (-46)/f) is divided by (-4)/5*(-11 - 4).
11
Let h(w) = 2*w + 2. Let v = 20 + -13. What is the remainder when h(v) is divided by 9?
7
Suppose 0 = 3*x - 271 + 103. Let c = -21 + x. What is the remainder when c is divided by 18?
17
Let x(u) = u**2 + u + 22. What is the remainder when 64 is divided by x(0)?
20
What is the remainder when 6/10 + 13848/120 is divided by 17?
14
Let f = -3 - -10. Suppose 0 = -4*z + 110 - 30. Calculate the remainder when z is divided by f.
6
Let v = 181 + -113. What is the remainder when v is divided by 18?
14
Suppose 0*a - 4*a - 17 = -5*w, 3*a - 11 = -w. Let v(x) = -8*x. Let c be v(-4). Let k = c - 19. Calculate the remainder when k is divided by w.
3
Suppose -u - 2*g = -29, -4*u - 32 = -g - 184. Calculate the remainder when u is divided by 23.
14
Suppose 4*s - 59 + 15 = -2*t, -4*s = -20. Let o be t/(-3 - -6)*1. What is the remainder when (o*-2)/((-2)/14) is divided by 19?
18
Let d = 6 - -5. Suppose -8*g + 4*g - 48 = 0. Let z = g + 43. What is the remainder when z is divided by d?
9
Let f(u) = -u**2 - 4*u + 7. Let j be f(-5). Let o(v) = 8*v - 1. What is the remainder when 87 is divided by o(j)?
12
Let a be 27/4 - 3/(-12). Suppose 2*k - 3 - a = 0. Calculate the remainder when 14 is divided by k.
4
Suppose 0 = f - 2*t - 32, 2*f - 38 = -5*t + 17. What is the remainder when f is divided by 11?
8
Let g(d) = -5*d + 3. Let l(c) = c. Let t(h) = -g(h) - 3*l(h). Calculate the remainder when 4 is divided by t(3).
1
Calculate the remainder when 9 is divided by (-184)/(-28) + 3/7.
2
Let j = -39 + 96. Calculate the remainder when j is divided by 30.
27
Let t be (-179)/(-4) - (-2)/8. Suppose -5*i = 10 - t. What is the remainder when 12 is divided by i?
5
Suppose 2*w + 16 = 2*r + 5*w, 0 = -5*r - w + 27. Calculate the remainder when 8 is divided by r.
3
What is the remainder when 9 i