 by w?
32
Suppose 2*s + 7*s = -54. What is the remainder when 194 is divided by (4/s)/((-6)/(-9)) - -40?
38
Suppose -9*x + 5*x + 128 = 0. Suppose 4*v = -12 + x. Suppose -159 + 520 = 19*k. Calculate the remainder when k is divided by v.
4
Suppose -3*w = -5*c - 11, 0 = w - 4*c - 0 + 1. Let u(i) = -2*i**3 - 5*i**2 - 4*i - 2. Let r = -1 + -2. What is the remainder when u(r) is divided by w?
5
Let s(x) = 13*x - 254. What is the remainder when s(21) is divided by 7?
5
Let b be (-856)/16 + 1/((-4)/(-2)). Let a = b + 83. Calculate the remainder when a is divided by 11.
8
Let d(m) = 2*m - 26. Let o = 39 + -20. Calculate the remainder when d(o) is divided by 7.
5
Suppose 0 = -5*m - 4 + 139. Suppose 4*b - 84 = 64. Suppose b + 23 = 4*t. What is the remainder when m is divided by t?
12
Suppose -3*t = 4*r - 173, -r + 4*t + 9 = -39. What is the remainder when 66 is divided by r?
22
What is the remainder when 1145*(-18)/(-45) - 5 is divided by 114?
111
Suppose 0 = 37*u - 6095 - 24134. What is the remainder when u is divided by 91?
89
Let f = -27 - -54. Let b(a) = -a**3 + 7*a**2 + 10*a - 3. Let j be b(7). Suppose f - j = -2*o. What is the remainder when o is divided by 11?
9
Let r = -25 + 27. Calculate the remainder when 141 is divided by r - (7 - 3) - -38.
33
Let a(d) = d**3 - 7*d**2 + 6*d + 7. Let n be a(6). Let o(i) = -i**2 - 55*i + 4*i**2 + 50*i - 2*i**2 - 6. Calculate the remainder when 45 is divided by o(n).
5
Let a = 703 - 690. Calculate the remainder when 20 is divided by a.
7
Suppose -150 = -2*m - m + 2*f, -5*m + f = -243. Let p = m + -32. Let z = -8 - -38. Calculate the remainder when z is divided by p.
14
Suppose -2*c + 508 = 2*c. Suppose 8 = -5*a - c. Let g = -14 - a. What is the remainder when 49 is divided by g?
10
Let u(h) = -h**3 + 19*h**2 + 52*h - 163. Let k = 56 + -24. Let t = 48 - k. Calculate the remainder when u(21) is divided by t.
15
Let j(b) = -4*b - 21. Let k be j(-6). Let r be 3321/k*2/(-2). What is the remainder when r/(-21) - 6/(-21) is divided by 11?
9
Let o(i) = -i**3 + 15*i**2 + 8*i - 11. Let u be o(15). Let g = u - 94. Calculate the remainder when 59 is divided by g.
14
Let y(q) = -4*q - 1. Let v be y(-8). Suppose -4*c - r = -2*c - 53, 0 = c - 4*r - v. What is the remainder when 80 is divided by c?
26
Let g(w) = 7*w**2 - w - 1. Let l be g(-1). Suppose 2*p - l*p = -25. Suppose -5866 = -13*i - 5502. What is the remainder when i is divided by p?
3
Suppose 54 = -3*t + 5*t. Let x be (-1 - -1) + (3 - 12). Let g(l) = -8*l - 57. Calculate the remainder when t is divided by g(x).
12
Let h = 535 - 478. Calculate the remainder when 108 is divided by h.
51
Let g(f) = f**3 + 6*f**2 - 53*f + 267. What is the remainder when g(6) is divided by 8?
5
Suppose 8*v - 52 - 4 = 0. Let a be 6 - (-4 + (3 - -1)). Let d(u) = -u**2 + 7*u - 2. Calculate the remainder when v is divided by d(a).
3
Suppose -221 - 136 = -21*u. What is the remainder when 28 is divided by u?
11
Let v(r) = 45*r - 2. Let o be v(5). Let c be (o - 1)*2/6. Suppose 4*g - c = 114. What is the remainder when g is divided by 10?
7
Let h be 102/12 - (-1)/(-2). Let b be 435/12 + (-2)/h. Let p = b - 20. Calculate the remainder when p is divided by 9.
7
Suppose -q + 2*c = -40, -17*c + 22*c = -5*q + 215. What is the remainder when q is divided by 11?
9
Let r(p) = 5*p + 218. Calculate the remainder when r(10) is divided by 45.
43
Suppose -14*f + 401 = -75. Calculate the remainder when 90 is divided by f.
22
Let f = -2195 + 2336. Calculate the remainder when f is divided by 62.
17
Suppose 0 = -31*b + 33*b - 2. What is the remainder when 8 is divided by b?
0
Let p(k) = -2*k**2 + 5*k + 119. Calculate the remainder when p(0) is divided by 21.
14
Suppose 48*r - 99 = 15*r. What is the remainder when 20 is divided by r?
2
Suppose -61*h - a + 186 = -59*h, -4*h + 3*a = -382. Calculate the remainder when 96 is divided by h.
2
Suppose 3*m - 72 = m. Suppose 0 = 5*x - 174 - m. Suppose -67 = -6*n - 1. What is the remainder when x is divided by n?
9
Let f(r) = -5*r**2 + 5*r + 8. Let z(b) = 2*b**2 - 2*b - 3. Let l(i) = 2*f(i) + 7*z(i). What is the remainder when l(4) is divided by 11?
10
Let g be (0 - (-4 + 2)) + -233. Let c = 433 + g. Calculate the remainder when c is divided by 51.
49
Suppose 3*d + 598 = -1310. Let j be d/(-24) + 2/4. Suppose -4*i + 3*t = 4*t - j, 15 = 3*i - t. Calculate the remainder when i is divided by 4.
2
Let i(f) = -f**2 + 6*f + 3. Let b be ((-6)/(-5))/(2/5). Suppose -3*g - 6 = -d + 2, -b*d + 19 = -4*g. Calculate the remainder when i(5) is divided by d.
3
Let b be 1/((-40)/(-12) - 3). Suppose -b*l = -0*l - 9. Suppose -4*u - 4 = 0, -2*a + 6 + 7 = l*u. What is the remainder when 19 is divided by a?
3
Let c(o) = 2*o**3 - o**2 - 2*o + 4. Calculate the remainder when 34 is divided by c(0).
2
Let d(y) = -y**3 - 2*y + 3*y + 2*y**2 + 11 - 4*y**2 - 5*y**2. What is the remainder when 31 is divided by d(-7)?
3
Let a(v) = -v**2 + 16*v - 3. Let r be a(7). Suppose 2*z = -3*f + 75, r = -0*f + 2*f - 2*z. Let h = -24 - -38. What is the remainder when f is divided by h?
13
Let d(u) = 5*u**2 - 25*u + 14. What is the remainder when 298 is divided by d(5)?
4
Let k(n) = -n**2 - 14*n - 26. What is the remainder when k(-5) is divided by 10?
9
Suppose s + 2 = 24. Suppose -s + 94 = 5*r - v, 4*v + 8 = 0. What is the remainder when 54 is divided by r?
12
Let r = 188 - 95. Suppose 5*j - 81 = 14. Calculate the remainder when r is divided by j.
17
Suppose 7*i = 3*i + 448. Suppose o + 3*o = -200. Let j = o + i. What is the remainder when j is divided by 16?
14
Suppose 0 = -4*d + 6*d + 624. Let y = -29 + 35. What is the remainder when (4/y)/((-4)/d) is divided by 19?
14
Let o(u) = u - 1. Let b be o(-2). Let m(w) = 20*w**2 + 4*w - 4. What is the remainder when m(b) is divided by 33?
32
Let f = 95 + -179. Let u = 52 + f. What is the remainder when 60 is divided by 1/(1/u*-2)?
12
Suppose 0 = 8*d + 16 - 40. What is the remainder when d/2*3604/51 is divided by 36?
34
Suppose 623 - 1808 = -79*r. Suppose -2*k - 170 = -5*k + 4*z, 0 = k - z - 57. What is the remainder when (k*-1)/(1 - 3) is divided by r?
14
Let b = 88 + -23. Suppose -159 = -68*p + b*p. What is the remainder when p is divided by 4?
1
Calculate the remainder when 449 is divided by (84/16)/(48/832).
85
Let q(v) = 2*v - 14. Let z(j) = -3*j + 15. Let f(u) = -2*q(u) - 3*z(u). Calculate the remainder when f(11) is divided by 14.
10
Let a(k) = -6*k - 50. Let y be a(-9). Let j(b) = b**3 - 2*b**2 - 10*b + 10. Calculate the remainder when j(y) is divided by 6/4*8/6.
0
Let f(n) = -n**2 - 47*n - 78. What is the remainder when 236 is divided by f(-45)?
8
Suppose -5*j - l = -138, 5*j - 7 = 4*l + 116. Suppose 0 = r - j + 1. Let p = 4 + r. Calculate the remainder when p is divided by 11.
8
Let b = -7 + 12. Suppose -h + 3*h = -4*o - 16, 0 = o + b. Suppose h*l - 1 - 3 = 0. Calculate the remainder when 2 is divided by l.
0
Suppose 0 = 10*v - 13*v. Suppose -3*z - 2*z + 5 = v. Calculate the remainder when 99 is divided by 3 - 0 - (-22)/z.
24
Let j = 15 - 11. Let s(u) = u**3 - 3*u**2 - 5*u + 4. Let t be s(j). Suppose c - 8 - 1 = t. Calculate the remainder when c is divided by 4.
1
Suppose -m - 20 = -2*m. Let h = 1201 - 1143. Calculate the remainder when h is divided by m.
18
Suppose -t + 4*o = -8, 13 = -4*t + o - 0. Let q = t - -10. Calculate the remainder when q is divided by 3.
0
Let s = -5 - -2. Let h = s + -2. Let v = 16 - h. Calculate the remainder when 81 is divided by v.
18
Let i(a) = a**3 + 6*a**2 + 7. Suppose 3*v + 5*z = 5 - 0, -5*v + 3*z = -65. What is the remainder when v is divided by i(-6)?
3
Let f(u) be the second derivative of -u**4/12 - 2*u**3/3 + 5*u**2/2 + u. Let j be f(-5). Calculate the remainder when j + -3 + (2 - -21) is divided by 11.
9
Let c(w) = -6*w - 2. Let p be c(-6). Let u = 35 - p. Suppose -5*n + 2 = -4*n. Calculate the remainder when n is divided by u.
0
Suppose -3*n = -2*f + 119, n + 67 = f - 2*n. Calculate the remainder when 56 is divided by f.
4
Suppose -98 + 14 = 2*m. Let t = 1 - m. Calculate the remainder when 214 is divided by t.
42
Suppose -3*y + 3009 = -0*y + 3*m, -4*m - 4 = 0. What is the remainder when y is divided by 36?
32
Let g(f) = 3*f - 1. Let o = -956 - -969. What is the remainder when g(8) is divided by o?
10
Suppose -123 = 9*c - 