Suppose 3*t - 278 = -2*i, 0 = 116*i - 119*i - 3*t + 420. What is the remainder when 965 is divided by i?
113
Suppose -9*u + 4*u = i + 23, -i = u + 3. Suppose -1 = -2*f + 3*d + i, -3*d = -15. Suppose 11*n - f*n - 16 = 0. What is the remainder when 38 is divided by n?
6
Suppose -53 = 4*g - 97. Calculate the remainder when ((-6955)/165 - 2/g)*-3 is divided by 19.
13
Suppose -287 + 62 = -25*r. Let y(a) = -a**3 + 9*a**2 + 4*a - 13. Calculate the remainder when 90 is divided by y(r).
21
Let b = -143 + 47. Let p = b + 96. Suppose p = 8*a - 126 - 114. What is the remainder when 86 is divided by a?
26
Let m = -3758 + 3888. Calculate the remainder when 139 is divided by m.
9
Let r = 3693 - 3636. What is the remainder when r is divided by 50?
7
Let l(k) = 4*k**2 - 2*k - 18. Let a(f) = f + 7. Let h be a(-1). What is the remainder when l(h) is divided by 40?
34
Suppose -3*s = 3*w - 182 - 19, 0 = 5*w - 4*s - 344. What is the remainder when 94 is divided by w?
26
Let g be (1 + (-6)/2)*(7 - 8). Suppose -g*h - 66 = 2*f, h + 15 + 24 = f. Let a = 42 + h. Calculate the remainder when a is divided by 4.
2
Let r(l) be the second derivative of 5*l**3/6 - 5*l**2/2 + 8*l. Let g be r(2). What is the remainder when 26 is divided by 58/6 + g/15?
6
Calculate the remainder when 5574 is divided by 16/2 + (-50)/4*(-1776)/12.
0
Let h(q) = -58*q + 79. Let o be h(5). Let s = o + 220. Suppose 0*l + 57 = 3*l + 3*i, 2*l = 5*i + 10. Calculate the remainder when l is divided by s.
6
Suppose 4*j + 899 + 29 = 0. Let t = j + 294. Calculate the remainder when 495 is divided by t.
61
Let t(u) be the second derivative of u**4/6 + 17*u**3/6 + 11*u**2 - 2*u. Let p = 35 + -17. Calculate the remainder when t(-10) is divided by p.
16
Let v(b) = 133*b - 2182. Calculate the remainder when 3316 is divided by v(17).
77
Let y(q) = q**2 + 51*q + 630. Calculate the remainder when 1193 is divided by y(-17).
49
Let u(l) = 134*l**3 + l**2 - 8*l + 6. Calculate the remainder when 662 is divided by u(1).
130
Let h = -12984 + 12995. Calculate the remainder when 10469 is divided by h.
8
Let l(p) = 90*p**2 - 3*p + 2. Let v be l(1). Let g = 214 - v. Suppose -50*m + 123 + 1977 = 0. What is the remainder when g is divided by m?
41
Let z(a) = -a**3 - 27*a**2 - a + 153. Calculate the remainder when z(0) is divided by 27.
18
Suppose 3*s - 290 = 2*u - 61, -3*u = 5*s - 407. Let g(m) = m**2 + 11*m + 46. What is the remainder when s is divided by g(-9)?
23
Let o(m) = -m - 6. Suppose -5*i - 4*f = -0*f + 31, -3*i - 18 = 3*f. Let d be o(i). Let t(y) = 34*y - 2. What is the remainder when 157 is divided by t(d)?
29
Let u(w) = 5*w**2 + 21*w - 14. Let b be u(5). Suppose 236*o - 242*o = -b. Calculate the remainder when 70 is divided by o.
34
Suppose 5*u + 2*z - 2254 = 0, 2*u + 4*z - 285 = 623. Suppose -14*f + u = 4*f. What is the remainder when 170 is divided by f?
20
Calculate the remainder when 2848 is divided by 4/7 + 29/((-203)/(-1046)).
148
Let g = 473 + -727. Let c = -231 - g. What is the remainder when 48 is divided by c?
2
Suppose 2*s = -0*s + 6. Suppose -2*b = -s - 1. Suppose -r + 20 = 3*n, 0*n = b*r + 2*n - 24. Calculate the remainder when 31 is divided by r.
7
Let s = -9061 - -11979. What is the remainder when s is divided by 139?
138
Let x = -10808 - -10817. Calculate the remainder when 41 is divided by x.
5
Let l = -15279 + 15416. What is the remainder when l is divided by 39?
20
Let g(t) = -100*t + 11043. Let h(y) = -12*y + 6. Calculate the remainder when h(-5) is divided by g(110).
23
Suppose 10*v - 3*m = 5*v + 1252, -3*m + 484 = 2*v. Calculate the remainder when v is divided by 51.
44
Let j(t) = -t. Let y(a) be the second derivative of 5*a**3/6 - a**2 - 5*a. Let u(p) = -6*j(p) - y(p). Calculate the remainder when 19 is divided by u(8).
9
Suppose -25 = -r + o, -19*r + 15*r + 60 = 4*o. Let i(m) = -m**3 + 21*m**2 - 20*m + 14. What is the remainder when -1 - (0 + -1) - -54 is divided by i(r)?
12
Let b(v) = 3*v**3 + 3*v**2 + 108*v - 635. What is the remainder when b(6) is divided by 112?
97
Let h be (-2)/(-4 + (-3756)/(-942)). Let d = h + -113. What is the remainder when 172 is divided by d?
40
Suppose -189 = -3*y - 5*s, -85 + 120 = y - 3*s. What is the remainder when 169 is divided by y?
10
Suppose 0 = -5*k - 4*r + 46, 33*r - 38*r + 35 = 4*k. Suppose -92 = -4*n - 8*y + k*y, -117 = -5*n + 2*y. Calculate the remainder when n is divided by 16.
9
Suppose 5*q - 4279 = -6*q. Let b = 447 - q. Calculate the remainder when 171 is divided by b.
55
What is the remainder when (56/18)/(-14) - 639820/(-45) is divided by 241?
240
Let r(m) = 10*m + 8*m + 5 - m**2 - 13*m. Let z be r(6). Calculate the remainder when 55 is divided by -1 + 1 + -2 - 31/z.
26
What is the remainder when 2324 is divided by -3 + (-154)/(-33) - (-548)/6?
92
Suppose -1845 = -2*y + j + 7907, -5*j + 10 = 0. What is the remainder when y is divided by 10?
7
Suppose -125*g + 191*g - 250482 = -152*g. Calculate the remainder when g is divided by 50.
49
Let b = 13 - 4. Let i(l) = 7*l + 19. What is the remainder when i(b) is divided by 19 - (0 - (3 + 25/(-5)))?
14
Suppose -6*w - 9 = -l - w, 3*l + 21 = -w. Let p(z) = z**3 + 11*z**2 + 6*z + 54. Calculate the remainder when p(l) is divided by 12.
6
Suppose -2*o = -f + 110, -o = 4*f - 20 + 93. Let r = 60 + o. What is the remainder when 75 is divided by r?
0
Suppose 0 = -8*r - r. Suppose 3*h + r = 21. Let k(i) = -3*i**2 + 23*i + 4. Calculate the remainder when 89 is divided by k(h).
17
Suppose 0 = 2*b + 3*b - 25. Let n be (4 - 1) + 5 + -5. Suppose -b*f = -n*f - 20. Calculate the remainder when 27 is divided by f.
7
Let a(k) = -k**2 + k + 16. Let u = -104040 + 104103. What is the remainder when u is divided by a(0)?
15
Suppose -7*u + 212 = -54. Let s = 1315 - 1295. What is the remainder when u is divided by s?
18
Let x = -24 - -166. Let p(t) = t**2 - 2562*t - 395324. Calculate the remainder when x is divided by p(-146).
10
Suppose 2*m - 3*u = 3, -35*u = m - 40*u + 2. Calculate the remainder when 59 is divided by m.
2
Suppose 2286*g = -f + 2281*g + 68, -f + 5*g = -48. Suppose -s = 4*s - 865. What is the remainder when s is divided by f?
57
Let g(p) = 18*p + 12. Let l be g(-7). Let k = l + 123. Calculate the remainder when 294 is divided by k.
6
Suppose 0 = -3*r - 5*f + 10, 11*f - 6*f + 35 = 0. Calculate the remainder when 208 is divided by r.
13
Suppose -3 = 2*x - 3*c, -5*x = -12*c + 9*c + 21. Let r(g) = 4*g**2 + 13*g + 14. Calculate the remainder when r(x) is divided by 21.
17
Suppose -6*b + 711 + 219 = 0. Suppose -14*o = -b - 13. Calculate the remainder when 52 is divided by o.
4
Let d(z) = 49*z - 3. Calculate the remainder when d(4) is divided by ((-6)/15)/(-25 + (-21850)/(-875)).
11
Suppose -3*n + 11*n = 0. Let v = 23 - n. Suppose 28 + 8 = 3*b. Calculate the remainder when v is divided by b.
11
Suppose 4*c = -h + 241, 4*h - 1126 = c + 10*c. What is the remainder when h is divided by 95?
75
Let g(s) = 498*s**3 + s**2 + 19*s - 20. Calculate the remainder when g(1) is divided by 493.
5
Suppose l + 5*i = 226, -3*i - 2*i = 15. Let b = l - 128. Let a = 171501 + -171463. What is the remainder when b is divided by a?
37
Suppose -5*f + 168 = w, -2*f - 402 = -17*w + 14*w. What is the remainder when 818 is divided by w?
128
Let x be (1 - (-94)/10) + 4/(-10). Suppose 4*a + x = 6*a. Suppose 3 = h + m - 90, -4*h = a*m - 368. What is the remainder when h is divided by 33?
31
Suppose -4*f + 16650 = n - 51820, -n = -f + 17110. What is the remainder when f is divided by 5703?
7
Let r(w) be the third derivative of -w**5/60 + 17*w**4/12 + 19*w**3/6 + 39*w**2 - 3. Calculate the remainder when r(27) is divided by 21.
19
Let t(u) = u**2 + 7*u + 25. Let q be t(20). Let b = q - 563. Calculate the remainder when 16 is divided by b.
0
Let f(d) = -d**2 - 24*d - 44. Let h be f(-22). Suppose x - 39 = -5*c, 78 = 2*x - h*x - 4*c. Calculate the remainder when x is divided by -2 + 0 + (-5 - -28).
18
Let v = -311 - -912. Let j = v - 591. What is the remainder when 118 is divided by j?
8
Let s = 764 + -463. Let t(o) = 78*o - 70. Let a be t(1). Suppose 0 = c - a*c + s. Calculate the remainder when c is divided by 11.
10
Suppose 4*y - 6 = 34. Let f be (-1)/(-7)*40 + (-12)/(-42). Suppose -j - f = -12. What is the remainder when y is divided by j?
4
Let