
Suppose 1158 = 3*p - 3*z, 3*p + 4*z - 200 - 993 = 0. Calculate the remainder when p is divided by 44.
39
Let x = 2184 - 2180. Let w = 1 + -3. Calculate the remainder when (-6)/(-3) - 40/w is divided by x.
2
Let i = -75 + 107. Suppose -5*k + 3*f + 52 = -71, 116 = 4*k + 2*f. Calculate the remainder when i is divided by 194/18 + -6 + 168/k.
10
Let g(j) = 19*j**3 + j**2 + j - 2. Let m = 162 - 242. Let y = 81 + m. Calculate the remainder when g(y) is divided by 13.
6
Let f(k) = 52*k + 868. Calculate the remainder when f(0) is divided by 34.
18
Suppose 5*q - 63 - 37 = 0. Calculate the remainder when ((-39)/6)/(-1)*12 is divided by (-3 - (-3 - 0)) + q.
18
Let v be 54 - 41 - -1*5. What is the remainder when 4/(-18) + 3838/v is divided by 54?
51
Let g(a) = 45*a**2 - 3*a + 6. Calculate the remainder when 26 is divided by g(0).
2
Suppose -5*c - 2*a - a + 37 = 0, 3*c - 5*a - 29 = 0. What is the remainder when 740/c - ((-7)/(-2) + -4) is divided by 17?
8
Suppose -117 = -9*r + 7*r + 5*k, 5*k = 4*r - 239. What is the remainder when r is divided by 15?
1
Let y be ((-8274)/126)/((-1)/15). Suppose -131*x - y = -136*x. What is the remainder when x is divided by 20?
17
Suppose -q - 3*q + 3*o - 1697 = 0, -3*o - 835 = 2*q. Calculate the remainder when 48 is divided by (-6)/16 - q/16.
22
Let x = -10 - -11. Let i(a) = -12*a**2 - 99*a - 11. What is the remainder when (-1 - x)*756/(-24) is divided by i(-8)?
11
Let v = -22745 + 22807. Calculate the remainder when 121 is divided by v.
59
Suppose 2*m - 1135*i = -1131*i + 9860, 2*m = i + 9860. What is the remainder when m is divided by 9?
7
Suppose -1713*r + 18525 = -27726. Calculate the remainder when (-2)/(-3) + 386/6 is divided by r.
11
Suppose 151 = 2*i - 3*r, 3*i + 2*r - 4*r - 229 = 0. Calculate the remainder when 517 is divided by i.
55
Suppose 90 = -4*h + 5*k - 46, -3*h + k = 102. Let f be 68/(-1) - (-15 - (-31 - -15)). Let b = h - f. Calculate the remainder when b is divided by 13.
9
Let o(h) = 459*h + 2100. Calculate the remainder when o(-4) is divided by 15.
9
Suppose 4*n - 8*n - 19 = -5*z, 14 = 5*z + n. Suppose z*l = -31*l + 816. Calculate the remainder when 44 is divided by l.
20
Let i(u) be the second derivative of u**3/6 + u**2/2 + 9*u. Suppose -4*o = -2*l, 0 = 4*l - 5*o - 11 - 4. Calculate the remainder when 21 is divided by i(l).
10
Suppose 19*u - 1669 = 2853. Calculate the remainder when u is divided by 118.
2
Let p(m) = m**3 + 15*m**2 + 39*m + 13. Suppose 2*s + 5*f - 3 = 0, -3*s = -5*s - 2*f - 12. Calculate the remainder when p(s) is divided by (-273)/(-12) - (-1)/4.
22
Suppose 5*l + 3*y - 84 + 2 = 0, -5*l + 5*y + 50 = 0. Calculate the remainder when 14 is divided by l.
0
Let n = 540 + -529. Suppose -n*z + 2 = -9*z. What is the remainder when 4 is divided by z?
0
Let p(w) = 4*w**3 + 17*w**2 - 8. Let g be p(-4). What is the remainder when (-1)/g - ((-160446)/(-48))/(-13) is divided by 52?
49
Let p(k) = -53*k + 3. Let r be p(-1). Suppose -9*j + r = 20. Suppose -5*h = c - 47, c + 0*h + j*h = 42. Calculate the remainder when 62 is divided by c.
18
Let v(f) = -f**2 - 3. Let p(u) = 5*u**2 + 21*u + 72. Let r(b) = -p(b) - 6*v(b). Suppose 2*o = -1 + 23. Calculate the remainder when r(-3) is divided by o.
7
Suppose 3*t - k = 68, -5*k = 4*t - 8*k - 94. Suppose t*s = 8*s + 154. Suppose -9*w + 7*w + 172 = 0. Calculate the remainder when w is divided by s.
9
Let n = 51 - 73. Suppose 2*m + m + 154 = -4*p, 2*p = -3*m - 74. Let i = n - p. Calculate the remainder when i is divided by 5.
3
Suppose -1329 = -3*a + 5*c, -3*a + 1666 = -3*c + 325. Suppose -26 = -5*p + 94. What is the remainder when a is divided by p?
21
Let t(j) = 2*j**3 + 28*j**2 + 17*j + 39. Let q be t(-10). Let p = q + -629. What is the remainder when 76 is divided by p?
36
Let w be 291/2 + 24/48. Let c = w - 101. Suppose 198 = 3*b - 2*t, -4*t - 111 + c = -b. What is the remainder when b is divided by 12?
6
Suppose -2*y + 1282 = 4*t, -y + 1655 = 5*t - 6*y. Calculate the remainder when t is divided by 299.
25
Suppose c - b = 10, 20 = c - 2*c - 5*b. Let h(g) = g**3 - 7*g**2 + 20*g - 5. Calculate the remainder when 178 is divided by h(c).
43
What is the remainder when (-138)/(-276) + (-734)/(-4) is divided by 56?
16
Let b(n) = 3*n**2 - 11*n + 3. Let o be b(4). Suppose -38 = 6*s - o*s. Suppose 5*f = s + 97. What is the remainder when f is divided by 11?
5
Suppose 4*a - 10 = o, -o + 0 = -a + 4. Suppose -2*l + 7*l - 101 = 4*r, 0 = -a*l + 2*r + 40. Calculate the remainder when 72 is divided by l.
9
Suppose -135*j + 5*x = -133*j - 112, 126 = 2*j + 2*x. Let o(n) = -n**2 - n + 33. Calculate the remainder when j is divided by o(0).
28
Suppose 26*w - 151 + 21 = 0. Calculate the remainder when 1348 is divided by w.
3
Let u = 6411 + -6368. Calculate the remainder when 288 is divided by u.
30
Suppose -a + 21 = 6*a. Suppose 2*o - a = q, 4*q + 2*o = -2*o + 36. Suppose q*c = 2*g + 20, c + 2*g - 22 = -c. What is the remainder when 11 is divided by c?
5
Suppose 0 = 3*k - 206 + 59. Let m = -90 + 179. Calculate the remainder when m is divided by (54/(-45))/(-2 + k/25).
29
Let d = -168 - -652. Let m = -163 + d. What is the remainder when m is divided by 54?
51
Let r = 328 - 146. Let h(o) = 8*o**2 - 35*o + 60. What is the remainder when r is divided by h(0)?
2
Suppose 0 = 535*g - 12505 - 6755. Calculate the remainder when 2987 is divided by g.
35
Suppose 17*z = 16*z + 26. Suppose 735 = z*w - 11*w. Calculate the remainder when w is divided by 25.
24
What is the remainder when -5 - ((-1625)/(-20) - -3)/((-7)/112) is divided by 223?
5
What is the remainder when ((-140)/8*-146)/(14/350) is divided by 38?
35
Suppose -267 = 4*x - 91. Let d = x + 99. Let n = d + 77. Calculate the remainder when n is divided by 19.
18
Suppose 156402 = 285*v - 28816 - 14282. What is the remainder when v is divided by 79?
68
Suppose -48*u + 152039 = -199753. Calculate the remainder when u is divided by 94.
91
Suppose -2*g - v + 4 = 0, 7 = -g - 0*g - 5*v. Suppose 44*u + m = 49*u - 156, m + 124 = 4*u. Calculate the remainder when u is divided by g.
2
Let h = 257 + -170. What is the remainder when h is divided by (-4)/((138/(-12))/23)?
7
Let j = -506 - -509. Let q be (-2)/4*0*-1. Suppose i - 12 = c, -5*i + j*c + 0*c + 60 = q. What is the remainder when 33 is divided by i?
9
Let h = 2020 - 1972. Calculate the remainder when 495 is divided by h.
15
Let g(d) = -228*d - 44. Suppose 0 = 9*o + 36*o + 180. What is the remainder when g(o) is divided by 10?
8
Let u(m) be the first derivative of m**3/3 + 11*m**2/2 + 3*m + 49. Let p be u(-12). What is the remainder when 10/p - 578/(-6) is divided by 20?
17
What is the remainder when (-48)/(-15) + -3 + ((-243724)/(-10))/13 is divided by 89?
6
Suppose 24*n - 28*n = -5*g + 77, 5*g - 83 = n. Calculate the remainder when 247 is divided by g.
9
Let t(i) = -55 + 3*i + 57 + i + 2*i**2. Let q be t(-4). Suppose 0*n - h = -5*n + 58, n = -3*h + q. Calculate the remainder when 46 is divided by n.
10
Suppose 311*b - 293*b - 2862 = 0. Calculate the remainder when b is divided by 26.
3
Let t = -240627 + 240669. Suppose -37 = 5*q - 7. Calculate the remainder when ((-9)/q)/(6/1000) is divided by t.
40
Suppose 0 = -w + 5*y + 6 + 80, 488 = 5*w + 4*y. Calculate the remainder when 491 is divided by w.
11
What is the remainder when ((-3746)/(-8) - 2)/((-125)/(-500)) is divided by 16?
9
Suppose 2*c - 3*j - 31736 = 0, 4*c = j + 12545 + 50947. Calculate the remainder when c is divided by 36.
34
Calculate the remainder when 99/(-11)*(12/(-9) - (-9898)/(-126)) is divided by 24.
23
Suppose -2*v - 3 = -v, 0 = 2*o - 2*v - 36. Let z(p) = -4*p**2 + 5*p - 3. Let m be z(-6). Let r = -122 - m. What is the remainder when r is divided by o?
10
Let h(o) = -2*o + 23. Let b be h(9). Suppose -b*c = -21*c + 384. Calculate the remainder when 32 is divided by c.
8
Let n = -1342 + 1357. Suppose 205 = 3*u + 3*l - 74, -u - 4*l = -90. Calculate the remainder when u is divided by n.
4
Suppose 43*s - 2610 = -31*s - 71*s. Calculate the remainder when 538 is divided by s.
16
Let v(g) = 3*g**2 - 62*g + 565. Calculate the remainder when v(21) is divided by 196.
194
Let u = 194 - -56. Let p = u - 223. What is the remainder when 40 is divided by p?
13
Suppose 73682 = 126*w - 79912. What is the remainder when w is divided b