 4. What is the remainder when l is divided by w?
7
Let t(a) = -a**2 - a + 2. Let x be -6 + (2 - 3) + 4. Let u be t(x). Let c = 55 + u. What is the remainder when c is divided by 27?
24
Suppose -4*g + 8*g = -4*s + 56, s + 2*g - 15 = 0. Suppose 0 = s*v - 193 + 50. Calculate the remainder when v is divided by 3.
2
Suppose -3*l = 5*y - 7 + 49, -l + 37 = -4*y. Let f = -6 - y. Suppose 0 = -r + 9 - f. What is the remainder when 22 is divided by r?
4
Suppose 102 = -5*k + 11*k. Suppose -3*n - 2*f - 2*f + 35 = 0, 0 = n - 4*f + 15. Suppose n*z = 135 + 115. Calculate the remainder when z is divided by k.
16
Let s(b) = -4*b - 4. Let l = -13 - -9. Calculate the remainder when s(l) is divided by 7/((-14)/(-10)) + 4 + -2.
5
Suppose -2*w - 3*w = -3*l - 1290, -2*w + 485 = 5*l. What is the remainder when w is divided by 26?
21
Let o(u) = 2*u**2 + 5*u + 2. Calculate the remainder when o(5) is divided by 12 + (3/(-9))/((-4)/96).
17
Let f be (1/4*4)/(2/84). Suppose 4*p - 3*x - 393 = 0, -4*x + f + 457 = 5*p. What is the remainder when p is divided by 25?
24
Suppose -f - 3 = -5*k + 3*f, 3*k - 3 = 3*f. Let r = k + 1. Calculate the remainder when 16 is divided by 4 + 7 + (r - 2).
7
Let v = -22 - -38. Let c = v - 40. What is the remainder when (c/10)/((-21)/490) is divided by 19?
18
Suppose -3*z - 2*l - 3*l + 75 = 0, -2*z + l + 50 = 0. What is the remainder when 52 is divided by z?
2
Suppose 3*f + 2*n = 196, -3*f + 62 = -2*n - 114. Calculate the remainder when f is divided by (-174)/(-10) + 34/(-85).
11
Let d(o) = o**3 - 2 + 0*o**2 + 0*o**3 + 4*o**2 - 2*o. Let t be 1*-6*(-4)/(-8). What is the remainder when 23 is divided by d(t)?
10
Let r(g) = 7*g**3 + 10*g**2 - 14*g - 5. Let f = 17 + -1. What is the remainder when r(2) is divided by f?
15
Suppose -l + 13 = 3*u, 0 = -u - 2*u + 5*l + 7. Let n = u + 0. What is the remainder when 2*(15/2 - 1) is divided by n?
1
Suppose -2 + 0 = 2*t + 5*l, 2*t + 2*l = 10. Let p be (3/(-9))/(1/t). Calculate the remainder when 23 is divided by -30*(12/10)/p.
11
Suppose -9*g = 16 - 43. Suppose 2*x - 44 - 93 = -3*t, -4*t = -g*x + 180. Calculate the remainder when x is divided by 6.
4
Let w(j) = 3*j**2 + 2*j**2 + j**2 - 4*j**2 + 2*j + 3. Let d = -6 + 2. Calculate the remainder when w(d) is divided by 10.
7
Let j = 317 - 195. What is the remainder when j is divided by 33?
23
Let q be (-53)/3 + (-3)/9. Let x = -24 - q. What is the remainder when (-2)/x + (-235)/(-15) is divided by 10?
6
Let i = 28 - 83. Let d = i + 84. Calculate the remainder when 82 is divided by d.
24
Let g = -3552 + 3569. Let t(r) = 6*r**2 - 2*r - 6. Calculate the remainder when t(5) is divided by g.
15
Let n(s) = 2*s**2 - 7*s - 21. What is the remainder when n(6) is divided by 7?
2
Let g(i) = 5*i - 146. Calculate the remainder when g(34) is divided by 15/12*(5 + -1).
4
Let r(q) = 6*q**2 + 3*q + 8. Calculate the remainder when r(-6) is divided by 30.
26
Suppose 4*a - 4*x - x = 119, 64 = 2*a - 4*x. Calculate the remainder when 42 is divided by a.
16
Let p = 24 - -22. Suppose -3*o - 2 + 14 = 0. Suppose -p = -o*a - 14. What is the remainder when a is divided by 5?
3
Let p(h) = 4*h**2 - 2*h + 4. Let r(o) = -o**2 + o. Let i(a) = p(a) + 3*r(a). Suppose 5*x - 18 = 12. What is the remainder when i(-4) is divided by x?
4
Suppose -5*d + 42 = -2*d. Suppose 92*h = 94*h - 106. Calculate the remainder when h is divided by d.
11
Let x(m) = 3*m**2 + 8*m - 12. Calculate the remainder when x(4) is divided by 534/30 - 2/(-10).
14
Suppose 10*u + 672 = 1312. Calculate the remainder when 123 is divided by u.
59
Suppose 6 = 2*x + 4*f, 2*x = 3*f + 1 + 5. Suppose -3*t = -d + 24, 2*t + 73 + 34 = 5*d. What is the remainder when d is divided by x?
0
Let u(k) be the third derivative of -k**6/60 - k**5/20 - k**4/24 + k**3/2 + 5*k**2. Calculate the remainder when u(-3) is divided by (16/(-12) - -1)*-36.
9
Suppose 3*z + x - 71 = 0, -23 = 2*z + x - 69. Calculate the remainder when 58 is divided by z.
8
Suppose -z = -14 + 7. Calculate the remainder when 31 is divided by z.
3
Let m = 50 + -37. Suppose 3*l + m = -26. What is the remainder when (-22)/(-143) + (-518)/l is divided by 14?
12
Let b(g) be the first derivative of g**4/4 - 3*g**3 + 9*g**2/2 - 6*g - 13. What is the remainder when 7 is divided by b(8)?
1
Suppose -1077*n + 1081*n - 184 = 0. What is the remainder when 265 is divided by n?
35
Suppose 9 = -5*x + 24. Suppose -j - x*p = 5, -4*j - 3*p + 6 = -19. What is the remainder when j is divided by 7?
3
Let w(v) = 3*v**2 - 6*v + 10. Suppose 1 + 32 = 11*y. Suppose o + 138 = 2*m - 0*m, 5*o + 335 = 5*m. What is the remainder when m is divided by w(y)?
14
Let z(c) = 2*c - 7. Calculate the remainder when ((-3)/6)/(((-2)/(-92))/(-1)) is divided by z(8).
5
Suppose -r - 4*d = -49, 3*r - 252 = -5*d - 77. Suppose 4*a = b + 91, -2*a + a - 3*b + 26 = 0. Calculate the remainder when r is divided by a.
19
Suppose 2*l - 6*i + 5*i - 110 = 0, 3*i - 12 = 0. Calculate the remainder when l is divided by 21.
15
Let m(s) = 2*s**2 - s + 4. Let t be (-1 + -1)*6/(-4). What is the remainder when 93 is divided by m(t)?
17
Let q(j) = j**3 - 5*j**2 + 11*j + 17. What is the remainder when q(6) is divided by 25?
19
What is the remainder when 1022/16 + 12/288*3 is divided by 7?
1
Suppose 2*w + 4 = 12, 0 = 5*u - 4*w - 99. What is the remainder when 248 is divided by u?
18
Let x(y) = y**2 + 7*y - 7. Let s be x(5). Let t = -38 + s. Calculate the remainder when 66 + 11 + -11 + -9 is divided by t.
12
Let y(b) = 13*b**3 - b**2 + b. Let l(f) = -273*f + 825. Calculate the remainder when y(1) is divided by l(3).
1
Suppose 6*h - 3416 = 46. What is the remainder when h is divided by 29?
26
Let f = 596 - 570. Let s = -202 - -298. Calculate the remainder when s is divided by f.
18
Let i be (-8 - -4)/(16/(-12)). Suppose -i*g = -17 - 118. What is the remainder when g is divided by -46*1*2/(-4)?
22
Suppose 0 = 4*q - 691 - 737. Calculate the remainder when q is divided by 60.
57
What is the remainder when 44 is divided by (24/10)/((-162)/(-540))?
4
Suppose 153 = 3*d - 2*i, 2*d + 4*i = -0*d + 102. What is the remainder when d is divided by 18?
15
Let c = -14 - -19. Suppose d - 3*d - j = -65, d - c*j = 60. Suppose -d = -r - 4*r. What is the remainder when 26 is divided by r?
5
Let k be 8/(6/(6/2)). Suppose k*f = -26 + 118. What is the remainder when ((-644)/(-7) - (2 - 1)) + -2 is divided by f?
20
Suppose 4*r + 33 - 4 = v, -4*v - 2*r = -116. Let g(q) = q**3 - 5*q**2 + 2*q + 6. What is the remainder when v is divided by g(5)?
13
Suppose 0 = -4*z - 18*p + 14*p + 1532, 2*z = -p + 769. Calculate the remainder when z is divided by 56.
50
Let v(y) = 17*y. Calculate the remainder when v(2) is divided by 9.
7
Let c(d) = -d**3 - 3*d**2 + 7*d - 2. Suppose 5*z - 199 + 79 = 0. What is the remainder when z is divided by c(-5)?
11
Let z(n) = 2*n**3 - 6*n**2 + 2*n + 2. Let l be z(4). Let i = -505 - -537. What is the remainder when i is divided by 1/(l/(-22) + 2)?
10
Let m = -28 + 31. Suppose -b + 2*b - 19 = -2*k, -m*b + 47 = 4*k. Calculate the remainder when 31 is divided by b.
4
Let t(h) = -h**2 + 13*h + 29. Calculate the remainder when 185 is divided by t(11).
32
Let z(i) = -3*i**3 - 5*i**2 - 2*i + 65. What is the remainder when z(-6) is divided by 69?
62
Suppose 2*n - n + 2*k = 0, 36 = -4*n + 4*k. Let z(b) be the first derivative of 2*b**3/3 + 4*b**2 + 147. What is the remainder when z(n) is divided by 9?
6
Let i(u) = u**2 - 2*u - 5. Let p be i(-5). Suppose 0 = 5*l - 0*l - p. What is the remainder when 12/9*345/20 is divided by l?
5
Let v(w) = -4*w + 28. Suppose 3*z + 3*p - 56 = p, -p + 83 = 4*z. What is the remainder when v(-14) is divided by z?
18
Let s(o) = 6*o**2 - 3*o + 5. Let x be s(3). Suppose 5*m - x = -4*i, -m = 3 - 1. What is the remainder when 59 is divided by i?
14
Suppose -3*i + 2*j + 28 = 4, 3*i = 4*j + 30. Calculate the remainder when i is divided by 6.
0
Let n(a) = -28*a + 196. What is the remainder when 109 is divided by n(6)?
25
Suppose 0 = 2*d - 10, -z + 4*z + 2*d - 79 = 0. What is the remainder when 40 is divided by z?
17
Suppose 2*y = -15*t + 10*t + 37, 3*t + 24 = 3*y. Calculate the remainder when 52 is divided by y.
8
What is the remainder when 149 is divided by 27/2 + ((-66)/(-12))/(-11)?
6
Let s = -20205 - -20572. Suppose -3*q = -33 - 78. 