1) + -1.
12
Calculate the remainder when 15 is divided by 2/(-11) - 5/(110/(-114)).
0
Let k(l) = -l**2 - 3*l - 1. Let t be k(-2). Suppose 4*z - 3*z = 9. Suppose -z = -r + t. Calculate the remainder when 19 is divided by r.
9
Let k(d) = -d**3 - 3*d**2 - 8*d - 11. What is the remainder when 62 is divided by k(-3)?
10
Let u(w) = 2*w**2 - 11*w + 5. Calculate the remainder when u(7) is divided by (21/6)/(2/8).
12
Let b be (-178)/(-4) + 4/8. Suppose 5*h - 40 - b = 0. What is the remainder when h is divided by 19/2 - (-2)/(-4)?
8
Let d(z) = -z**3 - 9*z**2 - 2. Calculate the remainder when d(-10) is divided by 25.
23
Let d(i) = -i**3 + i**2 + i + 67. What is the remainder when d(0) is divided by 17?
16
Let z = -2 + 4. Suppose -z*i + 0*i = 0. Suppose 0 = x - i*x - 8. What is the remainder when 23 is divided by x?
7
Suppose s - 5*d = 29 - 1, -s + 2*d + 22 = 0. What is the remainder when 50 is divided by s?
14
Let a(n) = -n + 3. Let w be a(0). Suppose -w*x + 3 = -3. What is the remainder when 47 is divided by (-10 - x)*8/(-6)?
15
Suppose 0*y = -4*y + 200. Suppose 2*b - y = -4*n, -2*n + n = -4. What is the remainder when 48 is divided by b?
14
Let p = -127 + 179. What is the remainder when p is divided by 14?
10
Suppose 0 = -3*o + 7*o - 40. Calculate the remainder when o is divided by (3/(-9))/((-2)/24).
2
Suppose 0 = -c + 2*t + 66, t + 196 + 12 = 3*c. Suppose c + 80 = 5*s. What is the remainder when s is divided by 16?
14
Suppose 0 = -13*g + 15*g - 32. Let s = -4 + g. Suppose 3*v - 88 = -v. Calculate the remainder when v is divided by s.
10
Let y(f) = -4*f**3 - 2*f**2 - 2*f - 3. Let d be y(-2). Let q = d - -2. What is the remainder when q is divided by 14?
13
Suppose -3*m + 2*m = -4. What is the remainder when 21 is divided by m?
1
Let a = 60 - 49. What is the remainder when 51 is divided by a?
7
Let f(x) = 12*x - 100. Suppose 4*p - 30 = -p. What is the remainder when f(13) is divided by p/(-4)*(-76)/6?
18
Let y(l) = -2*l. Let h be y(-1). Suppose -2*m - 8 = -h*g + m, -5*g = 4*m - 43. What is the remainder when g is divided by 4?
3
Let r(s) = s**3 + 5*s**2 - 9*s - 9. Let p = 38 + -3. Suppose -3*n + 63 = 3*m, 2 + p = 2*n + 3*m. Calculate the remainder when n is divided by r(-6).
8
Let x be (1/(-2) - 1)*-2. Suppose 0*o = x*r + 3*o - 15, 12 = 3*o. Calculate the remainder when 11 + 2 - (-1)/r is divided by 4.
2
Let g(d) = d**2 - 4*d + 2. Let n be g(5). Suppose 2*v + 1 = n. Let w = -8 + 13. What is the remainder when w is divided by v?
2
Suppose 0 = 2*r + 4*w + 12, -r - 4*w - 11 = 5. Suppose 0 = -r*m + 80 - 8. Let p(d) = 2*d**2 - 5*d. Calculate the remainder when p(-4) is divided by m.
16
Let j be 3 - (0 - (1 + -2)). Suppose 0*a - 14 = j*a. Let z = 10 + a. What is the remainder when 8 is divided by z?
2
Let h(j) = 3*j**2 - 4*j + 3. Let y be h(2). Let s be 20*y/(21/6). Suppose -s = -f - 10. Calculate the remainder when f is divided by 8.
6
Suppose -10*l + 135 = -l. Calculate the remainder when l is divided by 2.
1
Let t(v) = -v**3 + 6*v**2 - 7*v - 1. Let m be t(6). Let r = m + 77. Suppose 5*d - 2*n - r = 12, 3*n - 6 = 0. What is the remainder when 39 is divided by d?
9
Suppose 2*r - 4*c = -2*r, 3*c = -5*r + 32. Let t(g) = -g**3 + 5*g**2 - 5*g + 2. Let a be t(r). What is the remainder when a/6*(-38 + -1) is divided by 7?
6
Suppose 1 = o - 0. Let d(t) = t**2 + 2*t + 2. Let v be (-4)/10 - 8/5. What is the remainder when d(v) is divided by o?
0
Let s(w) = 23*w - 1. Let o be s(1). Suppose -3*i + 117 + o = 5*q, 3*q - 63 = 5*i. Let x(b) = b**2 + b - 3. What is the remainder when q is divided by x(-4)?
8
Let x be 87/9 - (-2)/(-3). Let j = -3 + x. Calculate the remainder when 17 is divided by j.
5
Suppose 92*j = 97*j - 60. What is the remainder when 3/((-18)/46)*-3 is divided by j?
11
Suppose -2*q = 3*q - 30. Suppose -2*u = -q*u + 4. Let p = 7 + -5. What is the remainder when p is divided by u?
0
Let z = 30 - 21. Let b(w) = 3*w**2 - 2. What is the remainder when b(-3) is divided by z?
7
Let q(c) be the first derivative of 7*c**2/2 - c - 1. Let m be q(1). What is the remainder when 6 is divided by 1/((m/8)/3)?
2
Suppose 2*s + 3*s = 80. Suppose 4*y - 2*f - 128 = 0, -168 + 21 = -5*y - 4*f. Calculate the remainder when y is divided by s.
15
Let d = -11 - -93. What is the remainder when d is divided by 21?
19
Let p(k) = -k**3 - 22*k**2 - 5*k - 48. What is the remainder when p(-22) is divided by 24?
14
Let n = -3 - 2. Let v(i) = -i + 3. Let m be v(n). Let z(j) = j**2 - 5*j + 3. Calculate the remainder when z(m) is divided by 10.
7
Let v(m) = m**2 - 7*m - 13. Let x(r) = -9*r - 3. Let j be x(-2). Let w = j - 2. What is the remainder when w is divided by v(9)?
3
Suppose -2*j + 0*j + 3*y + 45 = 0, y = 5. Suppose 0*d + j = 5*d. What is the remainder when 9 is divided by d?
3
Let y(u) = -u**2 - 5*u + 2. Let g be y(-5). Suppose 3*v = g*v + 2, 0 = -t + 3*v + 12. What is the remainder when 52 is divided by t?
16
Let h be (0 - -1) + (23 - -3). Suppose -5*l + 8 + 2 = 0. Let v = h - l. What is the remainder when v is divided by 13?
12
Let u(i) = -11 - 4*i**2 - 12*i + 4*i**2 - i**2. What is the remainder when 61 is divided by u(-9)?
13
What is the remainder when 14 is divided by (-18)/4*(4 + 0 + -6)?
5
Let w = -37 + 94. Let f = w - 22. Calculate the remainder when f is divided by 18.
17
Let a = 2 + 1. Let r = 8 + -4. Let y = r - 0. What is the remainder when y is divided by a?
1
Let h(k) = -k**3 - 9*k**2 + 6*k - 4. Calculate the remainder when 68 is divided by h(-10).
32
Let a(j) = 3*j**2 - 4. Let g be a(-6). Suppose -6*k - 5*v + 142 = -3*k, v = -2*k + g. Calculate the remainder when k is divided by 19.
16
Suppose -3*v = -v - 4. Suppose 5*i + 54 + 79 = 4*w, 5*w + v*i = 125. Calculate the remainder when w is divided by 14.
13
Let h(n) = -n**2 - 8*n - 11. Let z be h(-5). Suppose z*f - 3*m = -f + 120, -2*m = -2*f + 52. What is the remainder when f is divided by 11?
10
Let y(o) = -o + 28. What is the remainder when 49 is divided by y(3)?
24
Let k(l) be the third derivative of -5*l**4/24 - 19*l**3/6 - 9*l**2. What is the remainder when 29 is divided by k(-7)?
13
Let d(y) = y**3 - 14*y**2 + 18*y - 27. What is the remainder when 149 is divided by d(13)?
35
Let b(j) = 7*j**2 + 2*j - 1. Let y be b(1). Suppose 8 = -w - w, 0 = -4*r - 4*w. What is the remainder when (-2)/y + (-58)/(-8) is divided by r?
3
Let s = -130 - -148. Calculate the remainder when 32 is divided by s.
14
Suppose o + 8 = 3*h + 3*o, -h = 2*o. What is the remainder when 5 is divided by h?
1
Let r = 5 + -2. Suppose 0 = u + p - 4 + 5, r*u = 5*p + 5. Suppose 5*x + 4*f - 30 = 0, -3*f + 24 = 4*x - u. What is the remainder when 16 is divided by x?
4
Let t(x) = x**2 - 2*x - 1. Let g be t(3). Suppose g*q + 2 - 14 = 0. What is the remainder when (-11 - 0)*(2 - 4) is divided by q?
4
Let d = 72 - 37. Calculate the remainder when d is divided by 18.
17
Let f be 3/(46/40 + -1). Let h = f + -11. Calculate the remainder when 16 is divided by h.
7
Let c(l) = -l + 4. Let r be c(6). Let m be -2 + r + 6*3. Suppose -w = w - m. What is the remainder when 25 is divided by w?
4
Suppose 3*w - 2*m = 2*w + 27, -15 = -5*m. What is the remainder when w is divided by 6?
3
What is the remainder when 18 is divided by -3 - -13 - (1 - 1)?
8
Suppose -57 = -4*q + 71. Let n = q + -12. What is the remainder when n is divided by 11?
9
Let y = -12 - -14. What is the remainder when ((-12)/2)/(-1) - 2 is divided by y?
0
Suppose -o - 4*w = -2*o - 16, -3*w + 15 = 0. Suppose q = o*q - 3. Calculate the remainder when 2 is divided by 1 + (1 - q) + 1.
0
Let v(b) be the first derivative of b**4/4 + b**2/2 + 37*b + 1. Let l = -5 - -18. Calculate the remainder when v(0) is divided by l.
11
Suppose 5*d = 3*x - 34, d + 22 = 4*x - d. Suppose -4*b + 2 = -x*b. Suppose -b*s - i - 2*i = 4, 5*i = -3*s - 8. What is the remainder when s is divided by 3?
1
Suppose -2*k - 3*k + 50 = 0. Let y(h) = h**3 - 3*h**2 + 4*h - 3. What is the remainder when y(4) is divided by k?
9
Suppose 10*l = 9*l + 28. What is the remainder when 111 is divided by l?
27
Let r(k) = k**3 - 8*k**2 + 8*k + 8. Let h = 5 - -3. What is the remainder when r(7) is divided by h?
7
Let x be 1/1 - (-5 + 7). Calculate the remainder when 12 is divided by (-1)/(x/(-7)*-1).
5
Let v = 62 - -6. Suppose 0*d + 11 = d. What is the r