emainder when r(1) is divided by 12?
11
Suppose -4*x - 12 = 0, 2*k - 5*x + 27 = 86. Suppose 0 = 8*s - 7*s - k. What is the remainder when 85 is divided by s?
19
Suppose 3*h - 225 = -3*g, -3*h + h = -5*g - 129. Suppose h = 3*q + 4*s, -2*q - s = -57 + 14. What is the remainder when q is divided by 8?
4
Suppose -14*s - 19*s + 35541 = 0. What is the remainder when s is divided by 30?
27
Suppose 0 = -2*v - 0*v - 3*d - 43900, 0 = d. Calculate the remainder when v/(-275) + 4/22 is divided by 21.
17
Suppose -11 - 7 = -a + 4*x, -34 = -4*a - 3*x. Let g = 34 - a. What is the remainder when 92 is divided by g?
20
Suppose 924 - 165 = 33*k. What is the remainder when 162 is divided by k?
1
Suppose 4 = 3*b + 4*d, 0 = -3*b + 3*d - 3 + 21. Suppose 5*j - 5*f = -b*f + 13, 2*j = 2*f + 10. Calculate the remainder when 4 is divided by j.
0
Let v(o) = 2*o - 8 - 7*o + 17*o**2 - 15*o**2. What is the remainder when 26 is divided by v(-2)?
6
Let n(g) = -g + 9. Let d be n(9). Suppose -4*p + 92 = -d*p. Suppose 3*k - 15 = 3*r + 24, 0 = 2*k - r - 26. Calculate the remainder when p is divided by k.
10
Let j(m) = -m**3 + 4*m**2 + 6*m + 6. Calculate the remainder when 105 is divided by j(-2).
15
Let j = 189 - -97. Calculate the remainder when j is divided by 58.
54
What is the remainder when 27/(-3) + 15 - -167 is divided by 55?
8
Let u(r) = 12*r**3 + 26*r**2 - 5*r - 5. Calculate the remainder when u(3) is divided by 4.
2
Suppose 0 = -10*r - 267 + 1927. Calculate the remainder when r is divided by 38.
14
Suppose -15 = u + y - 0*y, 0 = -4*u + 2*y - 60. Let g = u + 17. Calculate the remainder when 4 + -3 + (-3 - -8) is divided by g.
0
Let y = -591 - -971. Suppose -8*f = -3*f + y. Let h = f - -108. Calculate the remainder when 126 is divided by h.
30
Let v = -1099 - -1170. Calculate the remainder when 275 is divided by v.
62
Let w = 26 + -15. Let v(q) = -q**2 + 14*q - 29. What is the remainder when 25 is divided by v(w)?
1
Let k be 436/10*((-6)/(-4) - -1). Let b = k + -88. What is the remainder when b is divided by 6?
3
Suppose -5 = 4*s - 5*s. Suppose s = a - 9. What is the remainder when 32 is divided by a?
4
Let y = -151 + 346. Calculate the remainder when y is divided by 50.
45
Suppose -634 = 13*k - 894. What is the remainder when 699 is divided by k?
19
Let v(q) = q**3 - q**2 - 2*q. Let m be v(2). Let z = 16 + m. What is the remainder when 45 is divided by z?
13
Let h(v) = -1 + 2*v**2 - 6*v + 5*v - v**2. Calculate the remainder when h(-9) is divided by 23.
20
Let x(v) = 2*v**3 - 5*v**2 + 3*v + 10. Calculate the remainder when x(3) is divided by 18.
10
Let t(f) = -76*f - 731. What is the remainder when t(-12) is divided by 37?
33
Let g = 63 - 41. Suppose -5*d = -0*c - c - 4, -5*c + 3*d = 20. Let p(w) = -3*w - 6. Calculate the remainder when g is divided by p(c).
4
Let m = 23 - 16. Suppose -2*r + m = -7. Let b(d) = -d**3 + 10*d**2 - 10*d + 8. Calculate the remainder when b(r) is divided by 29.
27
Suppose d = 4*n - 9, 5*d + 2*n = 1 + 20. Let z(q) = 5*q**3 - 6*q**2 + 4*q - 3. Let w(i) = i**2 - 2*i - 1. Calculate the remainder when z(d) is divided by w(-4).
21
Let w = -12 - -34. What is the remainder when (-8)/2 - (-96 - -3 - -3) is divided by w?
20
Let m(i) = -i**2 + 9*i + 21. Let p be m(11). Let l = p - -13. Calculate the remainder when 13*(-8)/(l/(-3)) is divided by 9.
8
Let l be (-86)/(-18) - (-6)/27. Suppose 0 = -i - 3*q, -3*q = -l*q - 8. Calculate the remainder when 33*((-16)/(-3) - 4) is divided by i.
8
Suppose -65 - 171 = -2*l. Suppose -5*j - l = -k, -j - 2*k - 86 = 3*j. Let p = 8 - j. What is the remainder when p is divided by 11?
9
Let g = 116 + -75. Let x = 123 + -102. Calculate the remainder when g is divided by x.
20
Let x = -76 - -119. Let i(l) = 17*l**3 - l**2 - l + 1. Calculate the remainder when x is divided by i(1).
11
Let v be 34/(-4) + 2/(-4). Let m be 6/v*15/2. Let z(f) = -f**3 - 2*f**2 + 6*f + 6. What is the remainder when z(m) is divided by 13?
12
Suppose 0 = 5*c - 5*g - 75, -g - 6 = -4*g. Let a = c - -8. Let o(h) = -2*h**3 - 27*h**2 - 13*h + 14. Calculate the remainder when a is divided by o(-13).
11
Suppose 1978 = 20*n - 402. Calculate the remainder when n is divided by 68.
51
Suppose -4*d = -5*t - 124 - 531, 4*t - 468 = -3*d. Calculate the remainder when 6*(3 - 6/4) is divided by d/25 + 2/(-5).
3
Suppose 2*d + j - 148 = 0, 2*j + 3*j = -5*d + 360. What is the remainder when 3*(1/1 - d/(-12)) is divided by 12?
10
Suppose 11*s - 62 = 37. Suppose -4*q = -4*x + 60, 3*q + q - 73 = -3*x. Let r = x - s. Calculate the remainder when r is divided by 3.
1
Let y(f) = 6*f - 5. Calculate the remainder when 36 is divided by y(4).
17
Let l(i) = i**2 + 3*i - 1. Let g be l(-4). Suppose g*s - 4 = 5*s. What is the remainder when (-87)/(-2) + (-1)/s is divided by 15?
14
Suppose 0 = -6*s + s - 2*b - 10, 4*s = -3*b - 15. Calculate the remainder when 166/((8 - 3) + -3 + s) is divided by 12.
11
Let w = 154 + -104. What is the remainder when w is divided by 30?
20
Let o = 124 + -48. Suppose 3*t + t - o = 0. What is the remainder when (296/(-6))/((-4)/6) - -1 is divided by t?
18
Suppose 5*r = 4*r - 2, 5*o = r + 37. Let d(q) = -5*q + 9. Let v be d(-4). Let c = v + 3. What is the remainder when c is divided by o?
4
Suppose 5*j - 300 = j. Suppose 3*d - 25 = -2*z + 20, -5*d + 4*z + j = 0. Calculate the remainder when 42 is divided by d.
12
Suppose 2*n = 22 + 6. Let o(l) = -3*l**2 + 9 - n + 4 - l**3 + 3*l. Calculate the remainder when 4 is divided by o(-4).
1
Suppose d = -2*g + 101, -3*d + 6*d + 5*g - 308 = 0. Calculate the remainder when 665 is divided by d.
110
Let d be -4 + -6 - (-6)/(-3). Let r = 58 - d. Suppose -60 = -3*c - 3*l - 0, 2*c - 5*l = 68. Calculate the remainder when r is divided by c.
22
Let h(q) = -q**2 - 6*q + 2. Let n be h(-6). Suppose -d - 3*w - 4 = -28, n*d - 26 = 5*w. What is the remainder when 52 is divided by d?
16
Suppose -10 = -5*a + 10. Suppose 0*x + 3*x + 15 = 0, -a*x = -3*c + 71. What is the remainder when 33 is divided by c?
16
Suppose 35*x - 630 = -10*x. Let r = 0 + 25. Calculate the remainder when r is divided by x.
11
Suppose 0 = 5*z + 5, 7*z - 4*z - 367 = -5*h. Calculate the remainder when h is divided by 7.
4
Suppose 6*h - 9*h + 132 = 0. Suppose -5*d - 11 = -3*q, -5*d - 1 = -2*q - 2. What is the remainder when h is divided by q?
8
Let m(o) = -o**2 - o + 40. Suppose 0 = 2*u, 3*w = -3*u + 2*u. What is the remainder when m(w) is divided by 21?
19
Let c = -83 + 91. Calculate the remainder when 104 is divided by 28*(c + -4)/4.
20
Let q(r) = -5*r - 1. Let a be q(1). Let n = 10 + a. Suppose 14 = -n*s + p + 55, -s + 3*p = -24. Calculate the remainder when 43 is divided by s.
7
Let h = -187 - -191. Calculate the remainder when 58 is divided by h.
2
Let r(s) = s**2 + 4*s + 9. Suppose 3*h = 3*w + 69, -61 = -4*h - 5*w + 58. Calculate the remainder when h is divided by r(-4).
8
Let b = -21 - -23. Suppose 0 = -b*t - 4*m + 116, 5*t - m - 252 = 60. Suppose 3 = 3*z, 2*d - 3*z - 29 = 2*z. Calculate the remainder when t is divided by d.
11
Suppose i - 37 + 120 = -5*u, 2*u - 3*i + 40 = 0. Suppose -5*o - 4*h = 43, 9*h - 10*h = 4*o + 30. Let a = o - u. What is the remainder when a is divided by 4?
2
Let n(g) = -g - 1. Let a = -9 - -6. Let q be n(a). Suppose 7 = r - q. What is the remainder when 16 is divided by r?
7
Suppose 55*y - 57*y = -60. What is the remainder when y is divided by 16?
14
Let g be (-6 + 2)*3/(-1). Let p = g + -8. Suppose -p*n + 52 = -16. Calculate the remainder when n is divided by 6.
5
Let y(u) be the first derivative of 1/3*u**3 + 2*u**2 - 3*u - 7. Calculate the remainder when 25 is divided by y(2).
7
Let w(h) = 2*h - 14. Let l be w(8). Suppose -l*q + v = -3, v - 5 = -5*q + 3*q. Calculate the remainder when q is divided by 1.
0
Let g = 413 + -357. Let r be 0 - ((-1 - 1) + 6). Calculate the remainder when g is divided by 6/r*(-114)/9.
18
Suppose 9*p = 50 + 13. What is the remainder when 48 is divided by p?
6
Let h = 11 + -12. What is the remainder when (-70)/h - (0 + 0) is divided by 24?
22
Suppose -15*p + 6413 = -4*p. Suppose p = 2*q + 9*q. What is the remainder when 421 is divided by q?
50
Suppose -2*o = -x - 225, -3*o - 2*x = -8*o + 562. Suppose 0 = -5*r - 32 + o. Calculate the remainder when r is divided by 3.
1
Suppose 27*d = 22*d + 50. Calcul