when v is divided by p.
0
Let w(r) = r**2 + 7*r. What is the remainder when 15 is divided by w(-8)?
7
Let y = 14 - 12. What is the remainder when 11 is divided by y/(-4)*(4 + -18)?
4
Suppose 420 = 6*a - a. Suppose a = 2*f - 0*f. Suppose -3*z + f = -2*z. What is the remainder when z is divided by 15?
12
Suppose 5*s - 5*r = 40, -3*r - 28 - 3 = -4*s. Calculate the remainder when 22 is divided by s.
1
Let s(l) = -6*l**3 + 3*l**2 + 4*l + 2. What is the remainder when 55 is divided by s(-1)?
6
Suppose 5*z - 119 = 4*a, z + 0*a - 2*a = 19. Calculate the remainder when z is divided by 12 + 0 + (-4)/2.
7
Let y = 11 - 8. Suppose -y*q = 428 - 1364. Calculate the remainder when q/10 + (-6)/30 is divided by 11.
9
Suppose 205 = -5*l - 415. Let z be (l/6)/(2/(-3)). Let c = -6 + z. Calculate the remainder when c is divided by 9.
7
Let l be 6/15 + 336/10. Suppose 0 = 2*k - 4*k + l. What is the remainder when k is divided by 9?
8
Let y(d) be the second derivative of 1/6*d**3 + 0 + 7/2*d**2 - 3*d. Calculate the remainder when 3 is divided by y(-6).
0
Let g = -6 - -6. Suppose g = o - 0 - 2. Let f = 4 - o. Calculate the remainder when 3 is divided by f.
1
Suppose l - 47 = -c + 7, -210 = -4*c - 2*l. Calculate the remainder when c is divided by 11.
7
Suppose -5*d + 157 = 2. Suppose -121 = -5*a - 4*r + 347, -8 = -4*r. Calculate the remainder when a is divided by d.
30
Let l = 154 - 83. Suppose 4*x = l - 3. Let t(s) = 2*s**2 + 2*s + 9. Calculate the remainder when t(-5) is divided by x.
15
Let j be 141 + 2*2/4. Let y = -89 + j. Calculate the remainder when y is divided by (30/(-1))/(-2) + -1.
11
Suppose 4*o + 43 - 127 = 0. Let y = 121 + -57. Suppose 4*p = 2*i + 2*i - y, -4*p = 3*i - 13. Calculate the remainder when o is divided by i.
10
Suppose 2*f - 3*u = 8 + 10, 0 = -3*f - 5*u + 8. Calculate the remainder when 23 is divided by f.
5
Let r = -5 - -13. What is the remainder when 1 + -5 + (35 - 2) is divided by r?
5
Let x = 55 - 8. What is the remainder when x is divided by 24?
23
Let o(x) = 15*x**2 + 6*x - 8. What is the remainder when o(-5) is divided by 68?
65
Calculate the remainder when 80 is divided by 1 - (2 - (-2 - -24)).
17
Suppose -40 = -k - k. Let w = 14 + -3. Calculate the remainder when k is divided by w.
9
Suppose t - 4*t - 15 = 0, -57 = -2*g - 3*t. Calculate the remainder when g is divided by (-1 - 0) + -3 + 23.
17
Calculate the remainder when 25 is divided by (2 + -16)*5/(-5).
11
Suppose 4*j + 117 - 349 = 0. Calculate the remainder when j is divided by 12.
10
Suppose 0*j + 2*j - 202 = 0. What is the remainder when j is divided by 13?
10
Let l = 67 + -54. Calculate the remainder when 36 is divided by l.
10
Let o(w) = 21*w**3 + 2*w**2 - 2. Let t be o(2). What is the remainder when t/4 - 9/18 is divided by 9?
7
Suppose -5 = 5*h, -30 = -5*j + 3*h + 68. Calculate the remainder when 37 is divided by j.
18
Suppose 0 = p + 5*j - 63, -j - 2*j = 5*p - 227. What is the remainder when 85 is divided by p?
42
Let l = 22 - -11. What is the remainder when 96 is divided by l?
30
Let n(q) = -q**2 - 10*q + 25. Calculate the remainder when 46 is divided by n(-10).
21
Suppose 0 = 4*g - 16, 0*o - 50 = -o - 4*g. Suppose 4*f - o = -2*v, 6*v - v = -4*f + 31. Calculate the remainder when 35 is divided by f.
8
Suppose 0 = 2*y + 3*u + u - 74, -3*y + 5*u = -100. What is the remainder when y is divided by 6?
5
Let m(j) = -7*j. Let a(w) = w. Let g be a(0). Suppose -8*k + 3*k + 65 = g. Calculate the remainder when k is divided by m(-1).
6
Suppose 4*h - 24 = -8. Suppose -2*y + 4*x = -1 + 9, -12 = -5*y + 2*x. Let f = y + -1. Calculate the remainder when h is divided by f.
1
Let l(p) = p**3 + 2*p**2 - 2*p. Let s(a) = -a**3 - 8*a**2 - 6*a + 9. Let n be s(-7). What is the remainder when l(n) is divided by 7?
5
Let h be 44/10 + (-2)/5. Suppose -h*k = -5*z + 91, -5*z - k + 22 = -74. Calculate the remainder when z is divided by (2 - 3)/((-1)/7).
5
Suppose 4*f - 5*m - 68 = -4*m, -5*f - m + 94 = 0. What is the remainder when 53 is divided by f?
17
Let p(l) = l**2 - 3*l. Let c be p(6). Suppose -3*y + c = 6. Calculate the remainder when 11 is divided by y.
3
Let k = -22 + 67. What is the remainder when k is divided by 24?
21
Let p = 6 - 13. Let g(k) = -9*k - 16. What is the remainder when g(p) is divided by 16?
15
Suppose 8 + 8 = 4*i. Suppose 0 = k - i - 11. Calculate the remainder when k is divided by 9.
6
Let i(l) = -64*l**2 + 2*l - 1. Let q be i(1). Let d = q - -88. Let p = d + -13. Calculate the remainder when p is divided by 7.
5
Suppose 162 = 4*j - 2*l, 4*j + l - 166 = -l. Let s = 0 + 0. Suppose s = -4*o + 4 + 52. What is the remainder when j is divided by o?
13
Let s(i) = -3 - 6*i + 4*i + 3. Let h be s(-3). Suppose -h*v + 3*v = -42. Calculate the remainder when v is divided by 5.
4
Suppose c + 2*z + 24 = 0, -c + 3*z = -0 + 4. Let o = c - -66. Calculate the remainder when o is divided by 17.
16
Calculate the remainder when 70 is divided by ((-72)/42)/(1/(-6 - 1)).
10
Suppose 4*u + 25 - 65 = 0. Let a(z) = z - 1. What is the remainder when u + -5 - (1 + -1) is divided by a(4)?
2
Suppose -2*v - 108 = 2*v. Let a(w) = 6*w - 3. Calculate the remainder when (-6)/v - 446/(-18) is divided by a(2).
7
Let x(r) = 2*r - 4. Let l be x(3). Let q(h) = -l*h + h + 3*h. What is the remainder when q(7) is divided by 5?
4
Let b = -3 - -11. Let l = 66 - 31. Calculate the remainder when 798/l - 2/(-10) is divided by b.
7
Let f be ((-21)/14)/((-2)/(-4)). Calculate the remainder when (-3)/(5/(25/f)) is divided by (-32)/(-14) - 4/14.
1
Suppose -3*c - c - 12 = 0, 29 = 5*x - 3*c. Calculate the remainder when 13 is divided by x.
1
Let w = 1 + 1. Suppose 2*z + w*f + 3*f = 33, -3*z - 4*f = -53. What is the remainder when 36 is divided by z?
17
Calculate the remainder when ((-684)/20)/((-3)/15 + 0) is divided by 43.
42
Let z be 4/2 - (1 - -1). Let q be (z - (-10 + 1)) + 1. What is the remainder when 16 is divided by 2/q + 87/15?
4
Suppose -9*q + 82 = -62. What is the remainder when 79 is divided by q?
15
Let a be ((3 - 2) + -2)*-2. What is the remainder when 3 + (-58)/(a/(-1)) is divided by 11?
10
Let p be -2 + 5 - (-3 - -1). What is the remainder when 0 + 14*(1 - -2) is divided by (p + 0 - 2) + 8?
9
Calculate the remainder when (30/(-8))/(-5) - (-2805)/20 is divided by 36.
33
Suppose -15 = -3*i - 3*s, 12 = 4*i - 0*i + 2*s. Let y be (-2)/((6 - 1) + -3). Let p = 0 - y. Calculate the remainder when p is divided by i.
0
Let p(y) = 3*y**2 - 5*y + 0 - 3 - 2*y**2 - 5. What is the remainder when 78 is divided by p(8)?
14
Suppose 14*b - 15 = 11*b. Calculate the remainder when 16 is divided by b.
1
Let n(u) = 6*u + 1. Let z = 10 - 7. What is the remainder when n(6) is divided by 37/z + (-2)/(-3)?
11
Let b(j) = -j**3 - j**2 + 2. Let a = -8 - -13. Let h = a - 0. Calculate the remainder when h is divided by b(0).
1
Suppose 4 - 13 = 3*u. Let y be (-1 + u/(-3))*-1. Suppose y*l - l + 15 = 0. What is the remainder when l is divided by 8?
7
Let y be (-3)/(-9)*(7 + -1). Suppose s - 10 = -y*w + 29, 0 = 2*w - 2*s - 48. Calculate the remainder when w is divided by 12.
9
Let o be (-2 + 4/3)*-3. Suppose -o*k - k + 51 = 0. Let p = 32 + -23. Calculate the remainder when k is divided by p.
8
Let t(q) be the second derivative of -q**4/12 - 4*q**3/3 - 5*q**2/2 + 4*q. What is the remainder when 3 is divided by t(-7)?
1
Let n = 2 + 1. Let c = 2 - n. Calculate the remainder when (-134)/(-6) + c/3 is divided by 8.
6
Let l(o) = -o**2 - 17*o - 12. Let a be l(-8). Suppose -5*c + a = -2*m, 2*c + 2*m = 5*c - 40. What is the remainder when 17 is divided by c?
7
Suppose -36 = 5*x - 14*x. What is the remainder when 13 is divided by x?
1
Let o be (-2)/((3/(-9))/1). Suppose 2 = -4*m + o, 3*m = -3*g + 96. What is the remainder when 122 is divided by g?
29
Suppose 4*t - 3*i + 0*i = -5, 5*t + i - 8 = 0. Calculate the remainder when (-1 - (-1 - 5))*t is divided by 3.
2
Suppose -2*o = -3*o. Suppose -3*z + p - 47 = -6*z, 4*z + 3*p - 71 = o. Calculate the remainder when 54 is divided by z.
12
Let u(l) be the first derivative of l**4/4 + 10*l**3/3 + 3*l**2 - 4*l - 1. Calculate the remainder when 44 is divided by u(-9).
21
What is the remainder when -23*45/((-5)/1) is divided by 30?
27
Suppose 2*j - 2*d + 6*d - 16 = 0, -2*d + 8 = -3*j. Let z(b) = 3 + 0 - 2*b + j*b**3 -