- 1309. Calculate the remainder when s(-4) is divided by h.
11
Let m = -5 + 16. Suppose -25*d + 29*d = 212. Calculate the remainder when d is divided by m.
9
Let p(z) = z**2 + 45*z + 364. Suppose 0 = -x + 4*j + 48, -j + 75 = x + 4*j. What is the remainder when x is divided by p(-35)?
4
Let y(j) be the third derivative of 21*j**4/8 + 11*j**2. Calculate the remainder when y(1) is divided by 16.
15
Suppose -51*c - 140 = -58*c. What is the remainder when c is divided by (-4)/(-10) + 1224/90?
6
Suppose -s - 1 = z - 3, 4*s = 3*z + 8. Suppose s*y - 5*y - 33 = -2*u, u + y - 9 = 0. Suppose 5 = 2*w - 5. Calculate the remainder when u is divided by w.
2
Suppose -2*t - 3*t = y - 2, -t - 4*y = -8. Let c be (t + -37)*(-1 + -2). Suppose -7 = 4*f - c. Calculate the remainder when 103 is divided by f.
25
Suppose -3*k + 254 = -d, -5*k + d - 93 = -519. Suppose r - 2*j - k = j, r - 2*j = 85. What is the remainder when r is divided by 14?
13
Let y(m) = -m**3 - 8*m**2 - 22*m - 14. Let s be y(-6). What is the remainder when s/4*96/8 is divided by 36?
30
Let q(w) be the first derivative of w**2/2 + 34*w - 26. Calculate the remainder when q(-16) is divided by 7.
4
Let f be 16/2 - -1*2. Suppose -f = -2*g + 36. What is the remainder when g is divided by 16 + (-12 - -1) + 1?
5
Suppose 160 + 1660 = 10*w. What is the remainder when w is divided by 17?
12
Let l(o) = -o**3 - 7*o**2 - 8*o + 10. Let w be l(-8). Suppose -32 = -5*u + w. Let g = u + -16. What is the remainder when 87 is divided by g?
15
Let n(h) = -2*h**2 - 79*h - 52. What is the remainder when n(-37) is divided by 54?
25
Let r(m) = -6*m**2 - 3*m. Let j be r(-2). Let g = 50 + j. Suppose -4*h + 95 = -3*h. Calculate the remainder when h is divided by g.
31
Let r(z) = -3*z**3 + z - 2. Let n be r(2). Let x = n + 44. Calculate the remainder when 58 is divided by x.
18
Suppose -17*u + 11860 = 2408. Calculate the remainder when u is divided by 35.
31
Let a = -8 - -14. Suppose -a*s + 162 = -3*s. What is the remainder when s is divided by (1 + -2)*38/(-2)?
16
Suppose g - 72 = -40. What is the remainder when 415 is divided by g?
31
Suppose 10*x - 13*x + 9 = 0. Suppose -x*t = -0 - 18. Calculate the remainder when 63 is divided by t.
3
Suppose 5*l + 5*d = -385, 33 = 4*l + 2*d + 331. Let m = -63 - l. Calculate the remainder when 15 is divided by m.
6
Let i = 2206 - 1120. Calculate the remainder when i is divided by 32.
30
Suppose 205 = 5*a - 55. Calculate the remainder when a is divided by 15.
7
Suppose -255*t + 134*t + 2783 = 0. Suppose -5*u - 2*y = 3*y + 5, -5*y = -u - 31. Let p = u - -11. What is the remainder when t is divided by p?
3
Let f(t) be the third derivative of t**5/60 - 5*t**4/24 + t**3/6 + 2*t**2. Let x be f(8). What is the remainder when 15 is divided by (-20)/6*(-60)/x?
7
Suppose 4*r + 3 + 1 = 0. Let n(h) = -16*h - 5. Calculate the remainder when 15 is divided by n(r).
4
Suppose -3*l - 527 = -4*y, -4*y - 2*l = -8*y + 522. Let i = 158 - y. Calculate the remainder when 117 is divided by i.
27
Let z = 6 + -1. Suppose -36 = 3*q + 21. Let u = -10 - q. Calculate the remainder when u is divided by z.
4
Suppose 104 = 4*j - 5*a, -j = -4*j - 4*a + 78. Let c = 1319 - 1310. Calculate the remainder when j is divided by c.
8
Let d(z) = -z**3 - 28*z**2 + 23*z - 160. Calculate the remainder when d(-29) is divided by 10.
4
Let i = -78 - -12. Calculate the remainder when 2/12 + (-5467)/i is divided by 14.
13
Let a = 23 - 4. Let r be 15/10*(-8)/(-6). Suppose f - 3 = -r, 2*z + 3*f = 25. Calculate the remainder when a is divided by z.
8
Let m = 1209 + -1173. Suppose -95 - 11 = -n. Calculate the remainder when n is divided by m.
34
Suppose -192 = -3*c - n, 8 = c - 4*n - 69. Suppose c = 6*x - 1. Suppose -x*f = -8*f - 75. What is the remainder when 73 is divided by f?
23
Let d(g) = -21*g + 0 - 1 - 1. Suppose p - 8 = 6. Calculate the remainder when d(-2) is divided by p.
12
Let k = -93 + 173. Calculate the remainder when 318 is divided by k.
78
Suppose -h + 695 = -3*x, 23*h - 18*h + x - 3475 = 0. What is the remainder when h is divided by 116?
115
Let y(u) = 8*u**2 - 8*u + 18. Calculate the remainder when 162 is divided by y(2).
26
Calculate the remainder when 74 is divided by 2*234/12*1.
35
Calculate the remainder when (-209)/(-9) + (-2)/9 is divided by (-1)/8 + -1164*(-21)/2016.
11
Suppose -3*h - 36 = -9*h. Suppose -d - h + 12 = 0. Suppose d*f = 21 + 27. Calculate the remainder when 38 is divided by f.
6
Suppose -141 = -q + 13*b - 23*b, 0 = 3*q + 2*b - 395. Let i(l) = 5*l - 3. What is the remainder when q is divided by i(6)?
23
Let g = -37 - -47. Calculate the remainder when 43 is divided by g.
3
Suppose 0 = -34*f + 3678 - 346. Suppose 0 = 2*o + 5*o - 175. Calculate the remainder when f is divided by o.
23
Suppose -5*r - 7 = -12*r. What is the remainder when -4*(-158)/4*r is divided by 40?
38
Let q = 2237 + -412. What is the remainder when q is divided by 11?
10
Suppose -3*l - 2*i = -31, -5*l + 55 = -2*i + 7*i. Suppose 3*z - 39 = 3*v, -3*z = -2*z + v - 15. Let s = z - l. Calculate the remainder when s is divided by 2.
1
Let m(i) = i**2 - 5*i - 1. Suppose -2*f - 3*f = -3*b - 14, -2*f + 8 = 0. Suppose 0 = 4*q - b*q - 136. What is the remainder when q is divided by m(8)?
22
Suppose w = 2*i + 56, -10*i + 5*i + 205 = 5*w. What is the remainder when 221 is divided by w?
37
Let t(v) = -v**3 - 2*v**2 - v. Let g be t(-1). Suppose -z = -g*z - 20. Suppose -199*u + 2607 = -166*u. Calculate the remainder when u is divided by z.
19
Let s = 1499 + -1407. What is the remainder when s is divided by 11?
4
What is the remainder when (-4 - -4)/2 - -158 is divided by 40?
38
Let r(b) = -6*b + 191. What is the remainder when r(27) is divided by 16?
13
Let a = 29 - 1. Let g = 52 - a. Suppose -4*f - r + 44 = r, 4*r = -5*f + 61. Calculate the remainder when g is divided by f.
6
Suppose f + 10*f = 319. What is the remainder when 92 is divided by f?
5
Suppose 25 + 95 = 2*x. Calculate the remainder when x is divided by (7 + -1)*(623/267 - (-1 + 2)).
4
Suppose -o + 819 = 4*y, -2*o = 3*y - 0*o - 618. Suppose 7*j = -5*j + y. What is the remainder when j is divided by 13?
4
Suppose 5*v + 25 = 0, 107 = 9*m - 5*m - 3*v. Calculate the remainder when 641 is divided by m.
20
Suppose -3*m + 132 = -7*m + 4*w, 3*m + 103 = -w. Let n = m + 84. What is the remainder when n is divided by 6?
2
Let z be 5*2*-3*(-1)/(-6). Let v(l) = 12*l**2 + 22*l + 3. What is the remainder when v(z) is divided by 13?
11
Suppose -117*k + 91*k = -2288. Calculate the remainder when 170 is divided by k.
82
Let q be 240/39 - 8/52. Suppose -p + q*p - 10 = 4*g, 0 = 4*p + 3*g - 8. Calculate the remainder when 7 is divided by p.
1
What is the remainder when 62/1 + 8/(-2) + 1 is divided by 9?
5
Let u = 6 - 1. Let d = 29 + -24. Let z = u + d. What is the remainder when 39 is divided by z?
9
Suppose 5*v = -4*d - 10, 0*d + 4*v = d + 13. Let w = 44 - d. What is the remainder when w is divided by ((-17 - 9)/(8 + -3))/((-1)/5)?
23
What is the remainder when (0 - -1) + (1790 - 122) is divided by 88?
85
Suppose 7*i = -28*i + 5075. Calculate the remainder when i is divided by 21.
19
Let n(z) = -5*z**2 + 6. Let h be n(6). Let u be (12/8)/((-9)/h). Let s = -5 + u. Calculate the remainder when 94 is divided by s.
22
Let f(b) = 27*b**3 + 5*b**2 - 5*b. What is the remainder when 48 is divided by f(1)?
21
Let b = -661 - -780. What is the remainder when b is divided by 43?
33
Suppose 0 = 8*g - 3*g - 45. Suppose 11 = l - 5*p - 45, 91 = 2*l - 3*p. What is the remainder when l is divided by g?
5
Let j = 93 - 43. Let x(u) = 4*u**2 + 2*u - 4. What is the remainder when j is divided by x(-3)?
24
Let o be (1 - -3)/(12/9). Let y = 0 + o. What is the remainder when 3 is divided by y?
0
Suppose 0 = -3*k - 9 - 57. Let t = 7 - k. Calculate the remainder when t is divided by 8.
5
Let b(d) = -d**3 + 3*d**2 + 25*d - 21. Suppose -5*m - 5*x = -2*m - 72, -101 = -4*m - 5*x. What is the remainder when b(-5) is divided by m?
25
Suppose -849 = -7*y - 191. What is the remainder when y is divided by 8?
6
Let h(u) = -2*u**3 - 8*u**2 - 3*u + 5. Let y be h(-5). Suppose y = 74*o - 69*o. Let n = -45 - -113. What is the remainder when n is divided by o?
12
Let n = 144 + -124. Calculate the remainder when 278 is divided by n.
18
Let j(f) = f**3 