(k) = -6*k**2 - k - 17. Let h(y) = 5*a(y) + 8*d(y). What is the remainder when f is divided by h(2)?
11
Suppose -22 = -3*k + 3*s + 2*s, k - 10 = s. Let m be -3*(5/(-3) + 1). Suppose -40 = -m*d + 14. Calculate the remainder when d is divided by k.
13
Let q = 158 - 158. Suppose s + q*s + 4*c = 133, -5*s - 5*c + 590 = 0. Calculate the remainder when s is divided by 63.
50
Let g = -51 + 17. Let y = g + 113. Let p = 91 - y. Calculate the remainder when 32 is divided by p.
8
Let k be (0 - 432/(-10))/(4/30). Let t = -7 - -11. Calculate the remainder when 2/11 + k/33 is divided by t.
2
What is the remainder when 812 is divided by -4*(5265/(-36))/13?
2
Suppose 9*d + 4 = -5. Let p be (50/10)/(2 + d). Suppose -19 = -z + 2*f, 2*f = -p*z - f + 56. Calculate the remainder when z is divided by 3.
1
Suppose 97*h = -60*h + 11*h + 26280. What is the remainder when 435 is divided by h?
75
Suppose -3*o = 4*b - 110, -2*o + 51*b + 72 = 55*b. Calculate the remainder when ((-75)/(-2))/(6/16) is divided by o.
24
Suppose -152 + 1025 = 9*w. Suppose 4*o = -3*f + 128, 2*f + 3*o = 6*f - 129. What is the remainder when w is divided by f?
25
Suppose -3*v - 62 = -4*p + 123, 0 = -5*p + v + 234. Let s = 176 + -31. Calculate the remainder when s is divided by p.
4
Let h = 21 + 9. Let z(s) = s**2 + 28*s - 22. What is the remainder when 6/45 - (-746)/h is divided by z(-29)?
4
Let h = 6341 + -5872. Calculate the remainder when h is divided by 155.
4
Let i(o) = 190*o + 388. Let a(g) = 3*g**2 - 7*g + 1. Calculate the remainder when a(6) is divided by i(-2).
3
Let x = 7 + 8. Suppose 2450 = 40*h + 890. Suppose 4*g + 18 = 4*u - 70, 2*u = 3*g + h. What is the remainder when u is divided by x?
12
Suppose -58*x + 20*x = 99*x - 20139. What is the remainder when 1174 is divided by x?
145
Suppose -4*c = 129*y - 127*y - 7342, -14696 = -4*y - 4*c. Calculate the remainder when y is divided by 10.
7
Let p(c) = 14*c - 57. Let q be p(4). What is the remainder when q - (1932/7)/(-6) is divided by 10?
5
Let x(s) be the third derivative of s**5/60 + 3*s**4/4 + 89*s**3/6 - 55*s**2. What is the remainder when x(-4) is divided by 27?
6
Let r(u) = u**3 - 25*u**2 - 195*u + 444. Calculate the remainder when r(39) is divided by 19.
16
Calculate the remainder when 149 is divided by ((-374)/(-54) - 17/((-459)/2)) + 64.
7
Suppose o = 102 - 3. Let b(i) = 2*i**2 - 12*i + 4. Let v be b(8). Suppose -v + o = 3*f. What is the remainder when f is divided by 12?
9
Suppose -1598*m + 1572*m + 63128 = 0. What is the remainder when m is divided by 17?
14
Suppose 12*x + 4*g + 399 = 15*x, -4*x - 4*g + 532 = 0. Suppose -135*c = -x*c - 476. What is the remainder when c is divided by 16?
14
Suppose 826 = -11*h + 4*h. Let t = 133 + h. Calculate the remainder when 88 is divided by t.
13
Suppose -19*z = -73 - 22. Suppose -w + 42 = d, -7*d + 2*w + 92 = -z*d. What is the remainder when d is divided by 12?
8
Suppose 8624 = 276*d - 269*d. What is the remainder when d is divided by 12?
8
Let u be ((-22)/99)/(1/27). Let x(m) = 7*m**2 + 9 + m**2 + 8*m + m**3 + 0*m. Calculate the remainder when 63 is divided by x(u).
30
Suppose -4*q + a = -1842, 5*q - 3*a - 3018 = -712. Suppose -7*l = q - 1188. Calculate the remainder when l is divided by 21.
20
Let r = -18514 - -18536. Calculate the remainder when 36365 is divided by r.
21
Let g = 729 - 705. What is the remainder when (18/g)/((-3)/(-596)) is divided by 55?
39
Let p(k) = 3*k - 1. Let d be p(1). Let i = 452 - 448. Suppose -4*u = s - 28, -d*u - i*s = -2*s - 14. Calculate the remainder when 9 is divided by u.
2
Suppose -4*v + 2*o - 8 = 0, -4*o + 8*o - 107 = -5*v. Suppose p = 102 - 33. What is the remainder when p is divided by v?
6
Suppose -3*h + 19 + 59 = -3*r, 5*h - 4*r = 127. Suppose l + m = 1 + 37, -6*l = 5*m - 229. Calculate the remainder when l is divided by h - (-8)/(-4 + 0).
18
Let w = 70413 - 70293. Let n = 3 + 28. Calculate the remainder when w is divided by n.
27
Suppose -59*r - 36292 + 53890 = -45591. Calculate the remainder when r is divided by 109.
90
Let k = -10061 + 10151. Calculate the remainder when k is divided by (-4 + 21)*1 - 1.
10
Let q(s) = 2*s + 17. Let n = 95 - 160. Let j = n + 58. Calculate the remainder when q(j) is divided by 3.
0
Suppose -3*j = 2*x - 4, 0 = -x - 4*x - 2*j + 10. Suppose -1 = -x*r + 5. What is the remainder when (27/(-12))/r - (-2730)/24 is divided by 23?
21
Let o = 6297 + -6009. What is the remainder when o is divided by 98?
92
Let g be 3/12 + 43/4. Let d(l) = -2*l + 25. Let u be d(g). Suppose 3*o + y = 61, -4*o = u*y - 0*y - 83. What is the remainder when 58 is divided by o?
18
Let y = -789 + 789. Suppose y = -z - 3, 3*i + 97*z - 102*z = 186. What is the remainder when i is divided by 4?
1
Suppose -22*y + 886 = 2*d, 4*y - 21 - 183 = 5*d. Calculate the remainder when 585 is divided by y.
11
Let c(l) = 6*l - 5*l - 2*l - 2. Let o be c(1). What is the remainder when 13 is divided by o + 1/(1/11)?
5
Let l(d) = -d**3 + 10*d**2 + 25*d + 42. Let k(w) = -7*w + 96. Let q be k(12). Calculate the remainder when 212 is divided by l(q).
50
Let o be (-4*2/6)/(118/(-53277)). Suppose 6*w = 28 + o. What is the remainder when w is divided by 6?
3
Suppose 6*u = 43*u - 74. Let b = 4 - 2. Suppose -5*x = u*y - 92, x - b*x + 23 = 5*y. What is the remainder when x is divided by 7?
4
Let f(h) = 10*h + 97. Let i be f(16). Let p = 282 - i. What is the remainder when p is divided by 4?
1
Suppose -z - 5*k + 375 = 111, 1320 = 5*z + 2*k. Calculate the remainder when 534 is divided by z.
6
Suppose 47287 = -6*i + 47419. What is the remainder when 420 is divided by i?
2
Let d = -136 + 380. Let l = d + -137. Calculate the remainder when l is divided by 23.
15
Let a be (-8)/(-3) + (-1)/(-3). Suppose -2 - 79 = -a*g. What is the remainder when g is divided by 4731/323 - (-36)/102?
12
Let j = 26 + -27. Let m(l) = -7*l**3 + l**2 + 5*l + 3. What is the remainder when 39 is divided by m(j)?
3
Let m(w) = -w**3 - 7*w**2 - 66*w - 93. Calculate the remainder when 403 is divided by m(-7).
34
Let h(i) = 6*i**2 - 2*i + 1. Let u be h(2). Suppose -95 = -26*a + u*a. Let s = -11 + 47. Calculate the remainder when s is divided by a.
17
Let p = 3208 - 3111. Calculate the remainder when 226 is divided by p.
32
Let d(r) = -2*r**3 - 6*r**2 - 21*r - 36. Let t(l) = -4*l + 24. Let z be t(7). What is the remainder when d(z) is divided by 22 + -1 + (1 - 1)?
17
Let g = 80 + -93. Let w be (-243)/(-4) + g/(-52). Suppose 4*h + 0*h - 4*k = 96, w = 4*h + 3*k. What is the remainder when 88 is divided by h?
12
Let s = -7145 - -7287. Calculate the remainder when 1106 is divided by s.
112
Let d(k) = 5*k**2 - 9*k. Suppose -247*s = -2635 - 3173 - 120. Calculate the remainder when d(7) is divided by s.
14
Let x = 85 + -21. Let t = -11 - -28. Calculate the remainder when x is divided by t.
13
Let k = 215 + -115. Suppose 4*n + 2*y = 6*n - k, -2 = -2*y. What is the remainder when n is divided by 18?
15
Let y(t) = 2*t**2 - 3*t - 299. Calculate the remainder when y(17) is divided by 79.
70
Let g(z) = 10*z**3 + 7*z**2 + 2*z. Let q be g(5). What is the remainder when 115 is divided by q/84 + (-1)/12?
13
Suppose 0 = -615*w + 612*w + 2088. Suppose 0 = 693*a - w*a + 375. What is the remainder when 245 is divided by a?
120
Let b(c) = -c**2 - c + 14. Suppose -2*z + 456 = 22*z. Let m = z + 21. What is the remainder when m is divided by b(0)?
12
Let k = -94 - -92. What is the remainder when 49 is divided by 13 - (k/(-8) + (-2)/8)?
10
Suppose -5*d - 24 = -7*d. Suppose 4*w + n + 554 = -762, 0 = -3*w + 4*n - 1006. What is the remainder when (-12)/15*w/12 is divided by d?
10
Let w(g) = -g**3 - 13*g**2 - 46*g - 240. What is the remainder when 11806 is divided by w(-11)?
22
Suppose 0 = -3*o - 252 - 174. Let l = o + 185. Calculate the remainder when 300 is divided by l.
42
Suppose 0 = -2*o + 4 - 0. Suppose -5*x + 2*n + 163 = 0, -1007*x + 1006*x + 53 = 3*n. What is the remainder when x is divided by o?
1
Let a(p) = p + 13. Let v be a(-13). Suppose 12*u - 8*u - 108 = v. Suppose 2*z - 124 = 34. What is the remainder when z is divided by u?
25
Let y(u) = -2*u - 68. Let o be y(-34). Calculate the remainder when 107 is divided by (o - (-26)/5) + (-96)/(-120).
5
Let n(x) = 4*x + 93. Let w(v) = -6*v - 141. Let g(m) = 8*n(m) + 5*w(m). Let r = 30 