alculate the remainder when 33 is divided by x.
3
Suppose -4*o - 32 = -r, 5*o = -4*r + 28 + 37. Suppose 2*t - 4*n - 66 = 0, -3*n - 32 + 149 = 3*t. What is the remainder when t is divided by r?
17
Suppose 349 = 3*k + 2*n, 2*n + 350 = 3*k + 3*n. What is the remainder when k is divided by ((-4)/2 - -3)*24?
21
Suppose 17*a - 8 = 19*a. Calculate the remainder when 50 is divided by (-70)/a - (-4)/8.
14
Let l = 30 - 10. Suppose -3*o + 34 = 5*a, 3*o + 0*o = a + 22. Suppose -u - 2*m = -3, u + 5*m - o*m - 23 = 0. What is the remainder when l is divided by u?
9
Let h(y) be the second derivative of y**4/4 + y**3/3 - y**2 + y. Suppose 5*z - 5*s - 30 = 0, 3*z = 5*z + s. Calculate the remainder when 25 is divided by h(z).
11
Let a = -290 + 458. Calculate the remainder when a is divided by 9.
6
Suppose -2*w - 657 = -4*p + p, 4*p - 5*w - 883 = 0. Calculate the remainder when p is divided by 5.
2
Let l(d) = -233*d - 2. Suppose -x - 161 = -4*b, -3*b - 5*x = -7*x - 127. What is the remainder when l(-1) is divided by b?
36
Suppose 2*t - 1202 = 4*v, 0*t - 3*t + v + 1783 = 0. Calculate the remainder when t is divided by 99.
98
Let w(g) = -9*g - 6. Suppose 5*a - 6 = -16. Calculate the remainder when w(-7) is divided by (-33)/a - (-3)/(-2).
12
Let c(t) = -t**2 + 1. Let p = -11 - -10. Let d(w) = 5*w**2 - 7*w - 18. Let o(z) = p*d(z) - 6*c(z). Calculate the remainder when 82 is divided by o(-7).
10
Suppose -10*p + 5*p + 25 = 0. Let r(k) = -k**3 + 5*k**2 + k - 4. Let v be r(p). What is the remainder when 18 is divided by v*10*11/22?
3
What is the remainder when 112 is divided by (1 - -23)/(33/55)?
32
Let z(q) = 0*q + 1 + 9*q**2 + 3 + 2*q - q. What is the remainder when z(4) is divided by 31?
28
Let p(q) = -q**2 - 22*q - 5. Let h be p(-15). Suppose 2*b - 3 = 4*z - 83, -2*b - h = -5*z. What is the remainder when 38 is divided by z?
18
Suppose 0 = -4*k - 3*y - y, 3*k + 4*y = -3. Suppose u - k*o = -3*u + 214, 218 = 4*u - 5*o. What is the remainder when u is divided by 14?
10
Suppose -19 = -2*l - k, -l + 0*l - 5*k = -5. What is the remainder when 179 is divided by l?
9
Suppose -9*x - 63 = -423. Calculate the remainder when x is divided by 14.
12
Let g be 3/(-5) - (-3144)/40. Suppose -p + 4*p = g. What is the remainder when p is divided by 14?
12
Calculate the remainder when (223/2)/(((-559)/26)/(-43)) is divided by 218.
5
Let v(z) = z + 6. Let f(w) = -8*w - 11. Let y be f(-3). Calculate the remainder when v(y) is divided by 11.
8
Let f be (-13)/13 - (2 + -1). Let w = 44 - 18. Calculate the remainder when -2 + -2 - f - -79 is divided by w.
25
Suppose -4*l + 6*l = 0. Suppose -g - 4*g = 3*a + 157, 5*a - 5*g + 195 = l. Let s = -18 - a. What is the remainder when s is divided by 7?
5
Suppose -3*f = 2*y - 333, 0 = -y - f - 4*f + 184. Suppose 9*x - y = 6*x. Calculate the remainder when x is divided by 18.
17
Suppose -2*h = -4*h + 12. Let l be 24/(-14)*(-21)/h. Suppose -3*b = l - 24. Calculate the remainder when 22 is divided by b.
4
Suppose 3*x + 8 - 17 = 0, -221 = -2*f - 5*x. What is the remainder when f is divided by 13?
12
Let u be (144/(-54))/((-4)/6). Suppose -4 = u*m - 56. What is the remainder when 50 is divided by m?
11
Let k = -784 + 850. Let m be ((-3)/(-6))/(1/(-10)). Let c(z) = -3*z + 2. Calculate the remainder when k is divided by c(m).
15
Suppose -765*z = -754*z - 660. Calculate the remainder when z is divided by 2/(-2) - (-22 + 0).
18
Let y be -21 + -3 + (3 - -3). Let d = y + 26. Let i = -14 - -44. Calculate the remainder when i is divided by d.
6
What is the remainder when 32/(-176) + (-10903)/(-11) + 1 is divided by 14?
12
Suppose -j - 17 = -2*j. Calculate the remainder when 169 is divided by j.
16
Let u(s) = 6*s**2 - s + 6. What is the remainder when 334 is divided by u(2)?
26
Suppose 4*s - h = 141, 11*s + 36 = 12*s - h. What is the remainder when s is divided by 14?
7
Let g be (1 + (-1)/(-3))/(3/(-36)). Let y = 65 + -40. What is the remainder when y is divided by (-3 + g/(-6))*(10 - 52)?
11
Suppose -16 = -3*f - f. Suppose -w = 3*u - 6*u - 6, -2*w + 32 = f*u. Calculate the remainder when 17 is divided by w.
5
Suppose -3*q = 2*q - 300. Suppose 4*c + c - q = 0. Suppose -9*j + 138 = -6*j. What is the remainder when j is divided by c?
10
Suppose 5*f + 26 = 3*s, 7 + 13 = -4*f + 2*s. Calculate the remainder when 14 is divided by 900/108 - f/6.
5
Let f = 35 - 5. Let v = f - 24. Calculate the remainder when v is divided by 4.
2
Let r(v) = -v**2 - 10*v - 4. Suppose 5*g + 62 - 22 = 0. What is the remainder when 16 is divided by r(g)?
4
Suppose -101 = -4*i + j, -2 = 12*j - 10*j. Suppose 0*b = 5*c + 3*b - 55, 0 = -5*c - 5*b + 45. Calculate the remainder when i is divided by c.
11
Let m be 708/2 - (-2 + 6). Suppose 4*n - m = -3*l, l + 2*l + 95 = n. Calculate the remainder when n is divided by 10.
9
Suppose -17*i + 241 = -303. What is the remainder when 126 is divided by i?
30
Suppose -3*d - 6 = 0, 4*d = 3*n + 2*n - 433. Suppose 5*w - 78 + 25 = -2*x, 2*x - 5*w = 63. Let v = n - x. What is the remainder when v is divided by 12?
8
Let i(y) = -y**2 - 5*y - 17. Let w be i(-6). Let k = 14 - w. What is the remainder when 147 is divided by k?
36
Let m(l) = 2*l + 13. Let d be m(-5). What is the remainder when 95 is divided by -33*d/(-4) + 3/(-4)?
23
Let o be 384 + 0 + 2/(-1). Suppose -4*n = -0*n - b - 378, 0 = -4*n + 3*b + o. What is the remainder when n is divided by 32?
30
Suppose 2*x - s - s - 54 = 0, -3*x + 85 = -5*s. What is the remainder when 99 is divided by x?
24
What is the remainder when 2 is divided by (-4 - 80/(-24))/(1/(-3))?
0
Suppose 0*w = -3*w + 2*n + 5, -30 = -4*w - 2*n. Let k(t) = t**3 - 3*t**2 + 4*t - 2. Let l be k(w). What is the remainder when 42 is divided by l/6 + 2/(-6)?
9
Suppose -23*p + p = -330. Suppose 5*o + 20 = 4*l - 0, 3*l - 2*o = p. Suppose -11 = 5*x - 46. Calculate the remainder when x is divided by l.
2
Let r = -13 + 67. Suppose -5*k + 68 = -4*z + 5*z, z + 44 = 3*k. Calculate the remainder when r is divided by k.
12
Suppose -5*j - 144 = -524. Let q be 0 - -1 - (0 + -3). Suppose -j = q*a - 208. Calculate the remainder when a is divided by 18.
15
Let v = 88 - 37. Let y = v - 2. What is the remainder when y is divided by 25?
24
Suppose -2*n + 21 + 9 = 0. Let t = 30 - n. Let f(z) = -27*z + 2. What is the remainder when f(-2) is divided by t?
11
Calculate the remainder when 50 is divided by -8 - (5 - 32) - 9.
0
Let p(v) = v**3 + v**2 + 2*v + 6. What is the remainder when p(3) is divided by 24?
0
Let l(g) = -2*g - 14. Let o be l(10). Let d = o + 77. Calculate the remainder when d is divided by 12.
7
Let x(w) = w**3 + 4*w**2 - 35*w + 9. What is the remainder when x(-8) is divided by 9?
6
Suppose 889 = -143*b + 146*b - 2*t, 2*b + 5*t = 618. Calculate the remainder when b is divided by 90.
29
Suppose -4*a - 2*q + 52 = -0*a, -3*a - 3*q = -36. What is the remainder when 53 is divided by a?
11
Let h(t) = -4*t + 3. Suppose -4*j + 0 - 24 = 0. Calculate the remainder when j/(-14) + (-537)/(-21) is divided by h(-1).
5
Suppose 0 = l - 12 + 26. Let g = 12 + l. What is the remainder when 36 is divided by (-3)/(58/(-26) - g)?
10
Let r(s) be the second derivative of s**4/12 - 7*s**3/3 + 37*s**2/2 - 16*s. Suppose -n + 9 = -21. What is the remainder when r(17) is divided by n?
28
Suppose -3*x - 2*j = x - 4, -4*x - 4*j = 0. Let m(u) = -1 + 2*u**2 - 5*u**x + u + 4*u**2. Calculate the remainder when 20 is divided by m(-4).
9
Suppose 23 = 16*b - 89. What is the remainder when b is divided by 6?
1
Suppose -q = -4*f + 296, 10*q + 158 = 2*f + 12*q. What is the remainder when f is divided by 13?
10
Let k(t) = -t**2 + 14*t + 20. Let m be k(15). Suppose 4*s + m = 13. What is the remainder when 3 is divided by s?
1
Suppose 29 = 2*g - 15. Suppose 339 = 3*y - 3*z + 6*z, 15 = 3*z. Calculate the remainder when y is divided by g.
20
Let k(t) = t**3 + 12*t**2 + 10*t. Let i = 225 + -182. Calculate the remainder when i is divided by k(-11).
10
Let g = 471 - 399. What is the remainder when 431 is divided by g?
71
Suppose -4*y - 8 = -108. Calculate the remainder when ((-4)/3)/(1/(-54)) is divided by y.
22
Let q(i) be the second derivative of i**4/12 - i**3/2 - 4*i**2 - 20*i. Calculate the remainder when q(-5) is divided by 3.
2
Let c(r) = r**2 - 10*r + 13. Suppose 2*d - 28 = -6. Calculate the