te the remainder when d is divided by 10.
8
Suppose -u = -o - 4, -4*o - 10 = -3*u + 1. Let i(z) = 9*z**2 - 2*z + 8. What is the remainder when i(u) is divided by 56?
55
Let t(c) = -c + 3. Let u be t(1). Suppose -3*r - 5*l + 16 = 0, l + 4*l - 4 = -u*r. What is the remainder when r is divided by 4?
0
What is the remainder when (-3 - 18/(-12)) + 957/6 is divided by 27?
23
Suppose 5*b - 3*p - 214 = 114, -p - 326 = -5*b. Calculate the remainder when 76 is divided by b.
11
Suppose -2*w = 4*h - 10, 0 = w - 4*w - 2*h + 15. Suppose 0 = -w*u + 64 + 101. Suppose 3*g - u = -12. Calculate the remainder when 27 is divided by g.
6
Calculate the remainder when 750 is divided by -1*(-6 - 0) + 10.
14
Let c = 130 + -89. Suppose d + 0*d = c. Calculate the remainder when d is divided by 11.
8
Let f(u) = -u**3 - 11*u**2 - 2*u - 30. Let o be f(-11). Calculate the remainder when (-74)/6*(o - -2) is divided by 15.
14
Suppose w + 3*r + 1 = 0, r - 13 = -3*w + 8. Let v = -3 + w. Let f = 7 + v. What is the remainder when 21 is divided by f?
9
Suppose 0 = -10*g + 5*g - 25, -3*g = 4*m - 1269. What is the remainder when m is divided by 6?
3
Let i = 48 + 8. Let k be -1 + 2 + -1 + 3. Suppose a = -k*a + i. Calculate the remainder when 26 is divided by a.
12
Let s(z) be the first derivative of z**3/3 + 3*z**2/2 + 2*z - 1. Suppose 17*h - 86 = -35. What is the remainder when h is divided by s(-3)?
1
Suppose -114 = -5*o + 6. Let d(m) = m**3 - 9*m**2 + 7*m + 8. Let k be d(8). Suppose -3*v = -k*v - 279. What is the remainder when v is divided by o?
21
Let g(c) = c + 26. Let r(q) = q + 57. What is the remainder when r(0) is divided by g(-11)?
12
Suppose 17 = j - 0*j. What is the remainder when (-830)/8*(-20)/25 is divided by j?
15
Let a = -310 - -329. Let c be (-6)/(-4)*(-16)/6. Let i(v) = -9*v. Calculate the remainder when i(c) is divided by a.
17
Let x(i) = -i**2 + 8*i + 13. Let o be x(7). Let w = 10 + o. What is the remainder when w is divided by 11?
8
Let o be ((-5)/(-10))/((-2)/(-8)). Suppose 2*q = -o*n + n + 7, 8 = 4*q. Let s = 0 + 4. What is the remainder when s is divided by n?
1
Let d be ((-108)/(-10))/((-12)/60). What is the remainder when 52 is divided by d/8*(5 + (-18)/2)?
25
Let y(i) = -156*i - 15. What is the remainder when y(-3) is divided by 76?
73
Let k = 267 + -201. Suppose -5*s + 42 = -2*s. What is the remainder when k is divided by s?
10
Suppose -12*t + 10 = -14. What is the remainder when 48 is divided by t?
0
Let l(w) = -w**3 + w**2 - 3*w. Suppose v - 2*a - 20 = a, -v - 3*a = 4. What is the remainder when l(-2) is divided by v?
2
Let n(z) = z**2 - 23*z - 27. Let o be n(24). Let h(g) = g**3 + 5*g**2 - g - 6. What is the remainder when 70 is divided by h(o)?
10
What is the remainder when 187 is divided by (26/(-7))/((-14)/196)?
31
Let j(d) = 22*d + 1. Let a(g) = 7*g - 14*g + 5*g - 24 + 3. What is the remainder when j(3) is divided by a(-19)?
16
Suppose 2*w + 2 - 10 = 0. Let b(m) be the first derivative of -m**3/3 - 11*m**2/2 - 9*m - 35. What is the remainder when b(-8) is divided by w?
3
Suppose -7*s - 1679 = -6614. Calculate the remainder when s is divided by 233.
6
Let v(x) = 5*x**2 + 34*x + 11. What is the remainder when v(-9) is divided by 8?
6
Let c = -161 - -280. Let g = -14 + 34. What is the remainder when c is divided by (20/(-1))/(g/(-30))?
29
Suppose -5*b + h = -57, 0 = -2*b - 3*h + 27 + 6. Suppose b + 184 = 7*x. Calculate the remainder when 83 is divided by x.
27
Suppose 20*l = 10685 + 1655. What is the remainder when l is divided by 23?
19
What is the remainder when 23 is divided by 4/40*11 - 4/40?
0
Let j be 1 + 1/(-3) + (-120)/(-36). Suppose j*y - 4*d - 60 + 8 = 0, -2*d + 46 = 4*y. What is the remainder when 33 is divided by y?
9
Let o(w) = w**3 - 6*w**2 + w + 8. Let a = 27 + -45. Let q = 25 + a. Calculate the remainder when o(q) is divided by 22.
20
Let y = 1015 + -369. Calculate the remainder when y is divided by 93.
88
Let a(t) = t**2 + 4*t + 2. Let b be a(-2). Let c = 6 + b. Suppose -3*k + c = -32. Calculate the remainder when 35 is divided by k.
11
Suppose -a + 10 = -2*m - 0*m, 0 = -4*a - 3*m + 7. Suppose -2*b - a = 0, 4*b + 0*b = -l + 53. Calculate the remainder when l is divided by 21.
19
Suppose -2*v + 310 = -968. What is the remainder when v is divided by 80?
79
Suppose -4*y - t = t - 1826, -4*y + 1844 = -4*t. What is the remainder when y is divided by 92?
90
Suppose 3*x - k + 4 = -3*k, 4*x = 2*k + 4. Suppose x = 2*r + 2*r + 104. Let t = -16 - r. Calculate the remainder when 37 is divided by t.
7
Let g = -16 - -22. Suppose 3*b - 78 = 3*h, 0 = -2*b + g*b - 2*h - 98. What is the remainder when 91 is divided by b?
22
Let t be (16/12)/(2/3). Suppose m + 5*j - 21 = 0, -8 - 2 = -t*j. Calculate the remainder when 48 is divided by (-153)/(-6) + m/8.
23
Suppose 40*i + 6634 = 71*i. What is the remainder when i is divided by 37?
29
Let n(s) = -7*s + 17. Suppose -2*a + 74 = 3*d - 104, 0 = 2*a + 4*d - 178. What is the remainder when a is divided by n(-2)?
27
What is the remainder when 357/14*6/(0 + 3) is divided by 11?
7
Suppose 3*d + 31 + 55 = 4*r, 4*d = 4*r - 108. Let i = d - -48. Calculate the remainder when 102 is divided by i.
24
Let b = 54 + -52. Calculate the remainder when (b + 13)/5*(-50)/(-3) is divided by 18.
14
Suppose 4*n - 51 = -5*m, -3*m = -2*n - n - 9. Suppose m*r - 1011 + 122 = 0. Calculate the remainder when r is divided by 34.
25
Suppose y + 4*j - 415 = 0, 57*j - 2105 = -5*y + 52*j. What is the remainder when y is divided by 25?
23
Suppose -2*t = 2*w - 90, -t + 4*t = 5*w - 217. Let l = 80 - w. Let z = 50 - l. Calculate the remainder when z is divided by 9.
5
Let y(f) = -f**3 - 5*f**2 - 4*f - 8. Calculate the remainder when 118 is divided by y(-5).
10
Suppose 12*i = 9*i + 192. Let x(p) = 9*p**2 - 2*p - 1. Let u be x(2). Let n = 53 - u. What is the remainder when i is divided by n?
20
Let y = -11 - -20. Suppose -5*z = -v + y + 27, -5*z = 3*v - 48. Calculate the remainder when 57 is divided by v.
15
Let p be (6*(-8)/(-18))/((-6)/(-9)). Suppose 5*t - 417 = 3*y - 134, -5*t - p*y = -311. What is the remainder when t is divided by 21?
17
What is the remainder when ((-388)/(-6) - -4)/(6/9) is divided by 8?
7
Let k(s) = -s**3 - s**2 - 14*s - 45. Calculate the remainder when 57 is divided by k(-3).
12
Let h = -40 + 92. What is the remainder when 157 is divided by h?
1
Suppose 0 = -n + 2*u + 5, -n - 4*u = 3 - 2. Let q(b) = b**3 - 8 + 5*b + 7 + 9*b - 2*b**2 - 10*b. What is the remainder when 98 is divided by q(n)?
18
Let u(z) = 23*z - 2. Let y(x) = 5*x**2 - 35*x + 83. What is the remainder when y(9) is divided by u(2)?
41
Let j(t) = t**2 + 29*t + 110. What is the remainder when 61 is divided by j(-26)?
29
Let x(p) = -p**2 + 11*p - 20. Let h be x(8). What is the remainder when 1*-4*(-38)/h is divided by 20?
18
Suppose 0 = -7*j - 6*j + 1378. Suppose 0 = -10*c + 846 - j. What is the remainder when c is divided by 28?
18
Suppose -3*c = -4*c + 15. Calculate the remainder when 193 is divided by c.
13
Suppose 0 = -2*z, -4*l + 32 = -96*z + 95*z. What is the remainder when 66 is divided by l?
2
Suppose 16 = 5*f - 4. Suppose 3*z + f*y = -13 + 95, 4*z - 131 = -y. Calculate the remainder when z is divided by 6.
4
Let i = 141 - 101. What is the remainder when 918 is divided by i?
38
Let n = -151 + 235. What is the remainder when 91 is divided by n?
7
Let n = 368 + -336. What is the remainder when 63 is divided by n?
31
Suppose -6 = -2*c, 4*s = 3*c - 0*c + 239. Calculate the remainder when 233 is divided by s.
47
Suppose 4*q = 2*z - 22, -8*z = -4*z + 3*q - 66. What is the remainder when 56 is divided by z?
11
Let x = 0 + 411. What is the remainder when x is divided by 18?
15
Let o(z) = 4*z + 11. Let v be 0 + 4 + (-4)/(7 - 3). What is the remainder when o(v) is divided by 13?
10
Suppose 6*x - 888 = -12. Calculate the remainder when x is divided by 71.
4
Calculate the remainder when (573/(-9))/(10/(-30)) is divided by 32.
31
Let d(b) = b**2 + 5*b - 18. Let k be d(-8). Let m(z) = z**3 - 4*z**2 - 7*z - 3. Let h be m(k). Let f = h - 14. What is the remainder when f is divided by 4?
1
Let t(c) = c**3 + 12*c**2 + 27*c + 20. Calculate the remainder when t(-6) is divided by 27.
20
Let k = 53 + -112. Let i = -8 - k. What is the remainder when i is divided by -1 + 3 +