 -21 - z = -f. Suppose k + f = 3*k + 5*w, -2*k + 30 = 2*w. What is the remainder when 38 is divided by k?
12
Let m be -3 + (-2)/((-2)/5). Suppose 3 = -m*l - 1. Let s = 5 - l. What is the remainder when s is divided by 3?
1
Suppose 1 = -2*p + 11. Suppose 0*k - 135 = -5*k - p*z, 5*k - 5*z = 115. What is the remainder when k is divided by 14?
11
Suppose 0 = 53*q - 1347 + 234. Calculate the remainder when 307 is divided by q.
13
Let z = 9 - 5. Suppose k = 4*t - 16, 0 = z*t + t - k - 21. Let y = 75 + -58. What is the remainder when y is divided by t?
2
Let j(c) = -c**3 + 13*c**2 - 12*c + 16. Let h = 101 - 89. Calculate the remainder when 44 is divided by j(h).
12
Suppose -5*d - s = -389, -5*d + 305 = 5*s - 100. What is the remainder when d is divided by 5?
2
Suppose -a - 2 = -2*k + 5*k, -8 = 4*a. Suppose -3*w - n + 251 = k, -w - 5*n + 107 = -0*n. What is the remainder when w is divided by 17?
14
Let m(r) = 0 - 4 + 3*r + 1 - 3. Let o be m(5). Calculate the remainder when (-3)/(-9) + 177/o is divided by 11.
9
Let q(w) = -3*w**3 + w. Let u(c) = -2*c**2 + 2*c - 1. Let o be u(0). Let i be q(o). Suppose -i*x = -49 + 29. Calculate the remainder when 36 is divided by x.
6
Suppose 3*i - 100 = -d, 0*d - 5*d + 4*i + 500 = 0. Let q = d + -80. Calculate the remainder when 70 is divided by q.
10
Let t = -394 + 468. Suppose 0 = 3*l + 2*c - 68, 0 = -4*c - 0 + 16. What is the remainder when t is divided by l?
14
Let y(o) = 4*o**2 + 125*o + 47. Calculate the remainder when 125 is divided by y(-31).
13
Suppose 2*y + 126 = 6*r - 3*r, r = -2*y + 42. What is the remainder when r is divided by 32?
10
Suppose 4 = 2*g, -u - 2*g + 0*g = 1. Let r = 92 + -48. Calculate the remainder when r is divided by (-72)/u - (-3)/5.
14
Suppose -1896 = -7*i - 272. Let j = i - 161. What is the remainder when j is divided by (-2)/4 + 111/6?
17
Let s be -2 + 1 + -3 + 2. Suppose -29*p - 20 = -31*p. Let u = p + s. Calculate the remainder when 22 is divided by u.
6
Suppose 3*m - 14 = -5. Let s(z) = 10*z - 9. What is the remainder when s(7) is divided by m/(-7) - (-150)/7?
19
Suppose 5*x - 28 = 2. Let u(n) = -n**2 + 5*n + 6. Let h be u(6). Suppose h = -y + 12 + x. What is the remainder when 53 is divided by y?
17
Suppose -68 = -3*h - 2. Let b = -31 + 117. What is the remainder when b is divided by h?
20
Let m = 7 - -3. Let o = 1 + m. What is the remainder when 30 is divided by o?
8
Suppose -3*x + 110 = 6*b - 4*b, 0 = -b + 2*x + 62. Calculate the remainder when b is divided by (-3 - (-36)/8)*10.
13
Let r(c) = c**2 - 7*c - 3. Let z be (-9)/((-135)/6)*20. What is the remainder when 29 is divided by r(z)?
4
Suppose 0 = -71*p + 57*p + 4046. What is the remainder when p is divided by 21?
16
Let v = -193 - -121. Let c = v + 87. What is the remainder when 36 is divided by c?
6
Let b = -28 - -49. Calculate the remainder when 94 is divided by ((-3)/(-4))/(b/672).
22
Let p = -1553 + 1806. What is the remainder when p is divided by 82?
7
Let z(w) = w**2 + 6*w. Let p be z(-5). Let x(a) = -10*a + 5. Let k(t) = -2*t - 1. Let d(s) = 4*k(s) + x(s). Calculate the remainder when d(p) is divided by 23.
22
Suppose -l = 12 - 119. Let s = l - 96. What is the remainder when 19 is divided by s?
8
Let s(i) = 6*i**2 + 2*i + 1. Let r be s(-1). Suppose -r*n = -68 - 42. What is the remainder when n is divided by 5?
2
Suppose -3*a = 2*z - 103, 40*a + 141 = 44*a - z. Calculate the remainder when 110 is divided by a.
5
Let m(a) = 23*a - 6. Suppose 6*q - q = 15. Calculate the remainder when m(q) is divided by ((-2)/(-4))/((135/(-288))/(-15)).
15
Let t be (-8)/(-16) - (-62)/4. Suppose w - t + 3 = 0. What is the remainder when 51 is divided by w?
12
Let j(w) = -5*w + 1. Suppose 96 = -13*a + 7*a. What is the remainder when ((-23)/4)/(2/a) is divided by j(-3)?
14
Suppose 0 = 477*h - 473*h - 212. What is the remainder when h is divided by 53?
0
Suppose -46 = -h - h + r, 90 = 4*h - r. Suppose 0 = 5*c - 2*c + 5*u - 24, 2*u = 2*c - 16. Calculate the remainder when h is divided by c.
6
Let s = 28 - 14. Suppose 5*w + 4*v = 24, -3*w + s = 2*v - 0. What is the remainder when 14 is divided by w?
2
Let o(z) = -z**3 - 5*z**2 + z**2 + 1 - 2*z + 5*z**2. Let r be o(1). Let h(b) = -2*b + 3. What is the remainder when 8 is divided by h(r)?
3
Let i(f) = f**3 + 5*f**2 - 4*f - 3. Suppose -3*u + 4 = -8. Suppose u*t - 41 = 227. Calculate the remainder when t is divided by i(-5).
16
Let b be (4 - 20)/(-4) + -2. Let j(v) = 5*v**3 - 2*v**2 - 5*v + 2. Calculate the remainder when 69 is divided by j(b).
21
Suppose 3*z - 2*v = 104, 2*z + z + 3*v - 129 = 0. Suppose 0 - 6 = -2*o. Let s(x) = x**3 - 2*x**2 - 3*x + 10. What is the remainder when z is divided by s(o)?
8
Let a be (-1)/4 + (-68)/(-16). Suppose -2*x = -4*f - 16, 3*x = a*f + 22 + 8. What is the remainder when 137 is divided by x?
11
Suppose 2*z = 0, -4*u - 2*z + 66 + 174 = 0. Let n = 14 - 5. What is the remainder when u is divided by n?
6
Let h(o) = -o**3 + 7*o**2 + 8*o + 13. What is the remainder when h(8) is divided by 12?
1
Let l(s) = s**3 - 5*s**2 - 5*s - 2. Let o be l(6). Suppose -o*p = -6*p + 90. Calculate the remainder when p is divided by 25.
20
Suppose -8*v = -78 - 1138. What is the remainder when v is divided by 48?
8
Let n(b) = -b**3 - 5*b**2 - b - 1. Let y be n(-5). Suppose 5*l + p - 36 = -3*p, -l - 4*p = -y. What is the remainder when 11 is divided by 5 + l/(-3 + -1)?
2
Suppose -151 = -3*j + 131. Suppose 3*w - 4*d - j = 0, d = 5*w - d - 152. Suppose -5*s = -56 - 24. Calculate the remainder when w is divided by s.
14
Let o = 138 + -73. Suppose 0 = 3*f + f - 72. What is the remainder when f is divided by (-25)/2*(-26)/o?
3
Suppose -50 = -3*d - 2*y, 3*y - 8 = -5. What is the remainder when d is divided by 10?
6
Suppose -4*l = 5*p + l - 60, -l = 3*p - 34. Calculate the remainder when 34 is divided by p.
1
Let s = 742 - 720. What is the remainder when 988 is divided by s?
20
Let n(w) = -w**2 - 4*w + 17. Let b be n(-6). Let c = b + 5. Suppose 14*i - c*i = 44. What is the remainder when 18 is divided by i?
7
Let v be 5/(-2)*-2*112/20. Let m(x) = 2*x**2 - 56*x + 5. Calculate the remainder when 16 is divided by m(v).
1
Calculate the remainder when 54 is divided by ((-10)/(-3))/(((-5)/(-75))/1).
4
Suppose 0 = -b - 5 + 9. Let g(x) = 13*x**2 + x - 1. What is the remainder when g(1) is divided by b?
1
What is the remainder when (-2 - (-3 - 481)) + -1 + 6 is divided by 14?
11
Suppose 5*c = 461 + 919. Suppose -2*b = b - c. Suppose -3*a = 5*l - 104, 2*a - b = -4*l - 24. What is the remainder when a is divided by 20?
18
Suppose -4*g + 11 = -9, -5*o + 410 = -5*g. Suppose 0*s + 54 = 3*s. Calculate the remainder when o is divided by s.
15
Suppose 0*z = -o + 5*z + 29, 5*o - 3*z - 145 = 0. Calculate the remainder when 150 is divided by o.
5
Let t(d) = d**3 + d**2 - 5*d - 4. Let m be t(-3). Suppose -2*a - 45 = -3*a. Calculate the remainder when a is divided by ((-12)/m)/((-5)/(-35)).
9
Let l(w) = 5*w**2 - 2*w + 1. Suppose 48*g - 240 = 24*g. Calculate the remainder when l(2) is divided by g.
7
Suppose -4*y = -5*g + 128, -y + 4*g - 39 = g. Let z = -19 - y. Let f = z + 6. What is the remainder when 53 is divided by f?
11
Suppose -b - 9 = -5. Let a be (b/8)/((-2)/8). Suppose -a*c = -5*c + 45. What is the remainder when 58 is divided by c?
13
Suppose -27*t = 31*t - 1276. Let b(m) be the third derivative of m**6/120 - m**5/10 + m**4/4 + m**3/6 - m**2. Calculate the remainder when t is divided by b(5).
4
Let v = 3 - 2. Suppose 5 = l + v. Suppose -5*y + 60 = 2*s - 5, 2*s - l*y - 56 = 0. What is the remainder when s is divided by 8?
6
Let t(d) = 9*d - 195. What is the remainder when 416 is divided by t(25)?
26
Suppose v = -v - 40. Let l = v + 134. Calculate the remainder when l is divided by 39.
36
What is the remainder when ((-1)/3)/((-2)/246) is divided by 23?
18
Let y(u) = 27*u**2 - u - 1. Suppose 15 = 3*t, -t + 244 = 4*x + 3*t. Suppose 2*r = 4*r - x. Calculate the remainder when y(-2) is divided by r.
25
Let w(x) = 8*x**2 + 50*x - 17. Calculate the remainder when 31 is divided by w(-7).
6
Let l(f) = 1 - 5*f - 6 - f**2 + 3*f - 6*f. Let i be l(-7). Suppose 3*s - i*s - 14 = 0. Calculate the remainder when 41 is divided by s.
13
Let v = 22 + -12. Let i = -12 + v. Calculate the remainder when 25 is divided by 72/8*i/