pose -9*h = -59*h + 7350. Calculate the remainder when h is divided by 41.
24
Let v(i) = 8*i + 3. Let s be v(4). Let b = 13 + s. What is the remainder when b is divided by 4*10/(-40)*(-2 + -3)?
3
Let w be ((-52)/286)/((-2)/(-22)). Let q = 139 - 60. What is the remainder when q is divided by (10/(-40))/(w/160)?
19
Let y = -1327 + 1329. Suppose -5*x + 170 = -0*x + 5*i, 3*x - 82 = 2*i. What is the remainder when x is divided by y?
0
Let o(f) = -f**3 - 6*f**2 - 4*f + 2. Suppose -5*l = 4*m - 5*m - 22, 0 = 5*m + 4*l - 35. What is the remainder when o(-6) is divided by m?
2
Suppose -2790 = -7*h + 3916. Suppose 0 = -19*o + h - 350. Calculate the remainder when -1 - (-159 + -2 + 1) is divided by o.
31
Let y = 5718 - 2961. Calculate the remainder when y is divided by 24.
21
Suppose -27645 = -14*o - 81*o. Calculate the remainder when o is divided by 37.
32
Let a = 126 - -808. What is the remainder when a is divided by 55?
54
Let v = -1654 + 1773. Suppose 0 = 5*w + 4*k - 218, 0*w + 4*k + 76 = 2*w. What is the remainder when v is divided by w?
35
Suppose 2*b + 2816 = 46*b. Suppose 42*g - 53*g + 363 = 0. What is the remainder when b is divided by g?
31
Let t(c) = -c + 4. Let k be t(5). Let j be k/(-2) + (-45)/(-30). Suppose 57 = j*s + x, s - x - 11 = -5*x. What is the remainder when s is divided by 16?
15
Let t be 97/5*(1 + 1 + 3). Suppose -3*f - 4*w + t - 10 = 0, 0 = 5*f + 3*w - 134. What is the remainder when f is divided by 13?
12
What is the remainder when 724 is divided by (-870)/(-105) - 6/21?
4
Let r(w) = w - 1. Let l be r(-9). Let p = l - -60. Let i(g) = 2*g**2 + 13*g - 7. What is the remainder when p is divided by i(-8)?
16
Let s(p) = -p**3 + 7*p**2 + 17*p - 2. Let r be s(8). Let q(f) = -35*f - 6. Calculate the remainder when q(-5) is divided by 4/(-10) - (-2408)/r.
33
Let b be (6 + -2)/8*22. Suppose -b*n + 822 = -267. Calculate the remainder when n is divided by 18.
9
Suppose 0*t - 2*t - 53*t = -2090. Calculate the remainder when t is divided by 20.
18
Let m(z) = z**2 - 3*z + 1. Let a(i) = -i**3 - 12*i**2 - i - 67. Let v(q) = -a(q) - 4*m(q). What is the remainder when v(-7) is divided by 6?
3
Suppose -3*a - 2 = j, -4*j + 7 + 3 = 3*a. Suppose 2*v = j*v - 12. Calculate the remainder when 19 is divided by 3/v*(-2 - (-15 + 1)).
1
Suppose -5*h - 25 = 0, 4*h - 573 - 647 = -4*b. Calculate the remainder when b is divided by 114.
82
Suppose z - 6*z - 285 = 0. Let w = z - -42. What is the remainder when 552/1*(-5)/w is divided by 37?
36
Suppose -114*y = -135*y + 105. Suppose -y*c + 50 = -230. Calculate the remainder when c is divided by 3.
2
Let h(z) = -z**3 - 31*z**2 - 205*z + 21. What is the remainder when 341 is divided by h(-22)?
166
Let t(p) be the first derivative of -4*p**2 - 4*p + 6*p - 24*p + p**2 - 3. What is the remainder when t(-10) is divided by 13?
12
Let k = 7070 + -6226. What is the remainder when k is divided by 16?
12
Suppose 351 = -6*w + 909. Suppose 3*r - w = 6*d - 9*d, 5*r + 83 = 2*d. Calculate the remainder when 200 is divided by d.
30
Let h = -64 + 64. Suppose 0 = -4*o - 2*s + 4*s + 72, h = 3*o + 4*s - 65. Calculate the remainder when 66 is divided by o.
9
Suppose -9*o + 344 + 61 = 0. Let z = 62 - o. Suppose -183 = -5*h + 232. What is the remainder when h is divided by z?
15
Let t(r) = -82*r - 82*r + 160*r + 77. Calculate the remainder when (0 - 51)*(-2)/6 is divided by t(18).
2
Let m(c) = -29 + 7 + 196*c - 184*c - 16. Calculate the remainder when 24 is divided by m(4).
4
Let g = -1574 + 1591. What is the remainder when 606 is divided by g?
11
Suppose 4*d + c = 528, -170*c = -2*d - 166*c + 282. Calculate the remainder when 694 is divided by d.
29
Let y(i) = i**3 - 18*i**2 - 15*i - 28. Let r be y(19). Let x = r + -46. Calculate the remainder when ((-8)/6)/(x/(-90) - 0) is divided by 9.
6
Let p(b) = -59*b + 1296. Calculate the remainder when p(20) is divided by 23.
1
Suppose -27*n + 58 + 50 = 0. Suppose h + n*j = 3*h - 14, -2*j + 13 = 3*h. Calculate the remainder when 87 is divided by h.
2
Suppose -3*b + 7260 = 27*b. What is the remainder when 243 is divided by b?
1
Let n(q) = -q**2 + 60*q + 249. Let a = 257 + -195. Let p = 137 - 94. Calculate the remainder when n(a) is divided by p.
39
Let c = -255 + 219. Calculate the remainder when (18/c)/(2/(-52)) is divided by 3.
1
Let u(t) = -t**3 + 5*t**2 + 271*t + 36. What is the remainder when u(14) is divided by 410?
16
Let n be (1*-278)/(-1)*(-5)/(-10). Let s = n + -135. Suppose 86 = s*y - 18. Calculate the remainder when 77 is divided by y.
25
Suppose -18*i = 11*i - 232. What is the remainder when (86/i)/((-8)/(-32)) is divided by 8?
3
Let o(t) = t**3 - 6*t + 4. Let w be o(2). Suppose w = -141*c + 145*c - 192. Suppose 0 = -2*i - 2*i + 752. What is the remainder when i is divided by c?
44
Let c be 290/(176/77 - (-2)/(-7)). Let a = 158 - c. Calculate the remainder when (-2 + 7*-5)/(-1) is divided by a.
11
Suppose 2*f - 2*g - 486 = 0, 3*f + 0*f = 2*g + 725. Suppose 0 = -8*d + 314 + 166. Calculate the remainder when f is divided by d.
59
Let s(q) = q**3 + 3*q**2 - 2*q + 4. Suppose -2*f = -4*c + 6, -2*f + 6 = 3*c - 2. What is the remainder when s(-3) is divided by c?
0
Let a = 551 + -545. Calculate the remainder when 2/a*(-9)/3*-21 is divided by 10.
1
Suppose 113 = 5*m + 2*k, -76 = -3*m + 5*k + 29. Calculate the remainder when 2738 is divided by m.
13
Let z be (-1845)/123*3/((-30)/4). Suppose -152 = -z*h + 52. Calculate the remainder when h is divided by 17.
0
Let j(y) = -4*y**3 - 4*y**2 + 2. Let p = 32392 - 32385. What is the remainder when j(-4) is divided by p?
5
Suppose 0 = 2*q - 5*u - 3678, -2*u - 4741 = -2*q - 1063. Calculate the remainder when q is divided by 80.
79
Let i(z) = -3*z + 2*z - 8*z - 9*z - 2. Let m = 680 + -553. Calculate the remainder when m is divided by i(-1).
15
Suppose 2*p - 30 = -8. Suppose -19 - 65 = -2*q. What is the remainder when q is divided by p?
9
Let z = -918 + 480. Let u = -369 - z. What is the remainder when u is divided by 5?
4
Let w(l) = -3*l**3 - 138*l**2 + l + 95. Calculate the remainder when 2743 is divided by w(-46).
48
Suppose 1473*a - 1474*a + 211 = -2*b, -5*b + 1160 = 5*a. What is the remainder when a is divided by 32?
1
Suppose 18*m + 7400 = 13646. What is the remainder when m is divided by 72?
59
Let i = -157 - -331. What is the remainder when 516 is divided by i?
168
Suppose -317 = -p - 314. Calculate the remainder when 48 is divided by 36 + (4/(-4 + p) - -4).
12
Suppose -4 - 2 = -3*j. Let t = j + 14. Calculate the remainder when 92 + (3 + -4)*-1 is divided by t.
13
Let o = -81 - -206. Let w = 70 + -52. Calculate the remainder when o is divided by w.
17
Let x be -2*(-6)/(-60)*-95. Suppose -2*p + 44 = 2*n - 6*p, p = -2*n + x. Calculate the remainder when 1/((2*-1)/(-164)) is divided by n.
10
Suppose 3*m + 4*f - 1831 = 0, 579*m - f = 575*m + 2435. What is the remainder when m is divided by 7?
0
Let k = -931 + 932. Suppose -2*w + 2 = 6. Let m = 5 + w. What is the remainder when m is divided by k?
0
Suppose 0 = 3*i + 4*n, -5*n = 2*i + 4 + 3. Let f = i + 2. Suppose 3*j + 2*s = 23, 5*j = -19*s + 22*s + 51. Calculate the remainder when j is divided by f.
3
Let h = -1437 + 1522. Calculate the remainder when h is divided by 6.
1
Let p be 20/3*6/25*5. Calculate the remainder when 45/(-4)*112/(-21) is divided by p/(-1) - 20/(-5) - -20.
12
Let c(m) = 3*m**2 + m**3 - 8*m**2 + 63 + 13*m - 14*m - 8*m. Calculate the remainder when 314 is divided by c(6).
44
Let t(p) = -328*p + 3131. Let u = 20 - -31. What is the remainder when t(8) is divided by u?
48
Let k = 95 + -45. Suppose -j = -2*t + k, -3*t + 34 = 4*j - 19. Let y = -45280 - -45323. What is the remainder when y is divided by t?
20
Let g = 40 - 25. Let h = 576 + -408. Let y = -109 + h. Calculate the remainder when y is divided by g.
14
Suppose 5*l + 2*z - 61 = 0, 2*l - 23 = 19*z - 20*z. Let m = -1036 + 1556. Calculate the remainder when m is divided by l.
10
Suppose 149*m - 80*m - 8763 = 0. What is the remainder when 3044 is divided by m?
123
Suppose -396*h + 95 = 2*f - 399*h, 3 = 3*h. Let p be (3 + 66)*1/3. Let a = 43 - p. What is the remainder when f is divided by a?
9
Let t(p) = -91*p**2 + 451*p - 6. Calculate the remainder when t(4) is divided by 162.
18
Let t(j) = j**2 + 2. Let z(n) = -16 + 39 + n**2 -