
15
Suppose 2*l = -3*g + 70, -2*g = 4*l - 7*l - 38. Let i(w) = 13*w**2 - 3*w - 4. Let m be i(-3). Let k = m - 36. What is the remainder when k is divided by g?
20
Suppose -4*v + 6 = -2*v. Let d be (-40)/(-4) + (0 - v). Calculate the remainder when (-12)/(-14)*2*d is divided by 4.
0
Suppose -2*s - 6 = l, -2*l - 2 = 2*s - 0*s. Suppose -13 = -l*a + 5*r - 1, 3*r = -3*a + 9. What is the remainder when 6 is divided by a?
0
Let v(s) = 4*s + 8*s - 3 - 4*s**2 - 6*s + 3*s**2. Suppose 4*i - 16 = 0, 3*u + 0*u + 5*i - 26 = 0. Calculate the remainder when v(2) is divided by u.
1
Let m(p) = p**2 - 4*p - 5. Let z be m(11). Suppose -3*f + z = f. Calculate the remainder when f is divided by 4.
2
Suppose -x + 24 = 2*x. Suppose -x = -p + 25. Calculate the remainder when p is divided by 12.
9
Let h(x) = -5*x + 6. Let p(i) = 2*i - 3. Let l(f) = 3*h(f) + 7*p(f). Let s be l(-7). Suppose -j + s*j = 36. What is the remainder when 21 is divided by j?
9
Suppose k + 21 = -5*z, 4*z + 10 + 2 = 0. Calculate the remainder when 51 is divided by ((-90)/(-8) - -1) + k/(-8).
12
Let j(f) = 2*f + 3. Suppose 0 = -4*l - 2 + 10. Suppose -l*u + 15 = 1. What is the remainder when 65 is divided by j(u)?
14
Let r(p) = -32*p + 2. Suppose -83 = c - 3*c + 5*u, 217 = 5*c - 3*u. Calculate the remainder when r(-4) is divided by c.
42
Let o be 27/(-9) - (-10)/2. Suppose k - 4*t = -9*t + 6, -o*t = 0. Suppose 2*j + 15 = 5*u - 3*j, 2*u - 4*j = k. What is the remainder when u is divided by 2?
1
Suppose 20*x = 19*x + 7. What is the remainder when 80 is divided by x?
3
Suppose -m = -2*t - 12 - 5, -15 = 3*t + 2*m. Let w = 23 + t. Calculate the remainder when 79 is divided by w.
15
Let f = 10 + -10. What is the remainder when (f - 2 - -160)/2 is divided by 21?
16
Let v = 379 + -227. What is the remainder when v is divided by 17?
16
Suppose 5*o - 4*a = 158, -5*o - 5*a + 99 = -41. Suppose 0*i = -2*i, -885 = -5*w - i. What is the remainder when w is divided by o?
27
Let m = -1619 - -1626. Let g(p) = p**2 - p + 8. Let n be g(0). Suppose 5*s - n - 2 = 0. What is the remainder when m is divided by s?
1
Suppose 2*n - 5*n - 12 = 0, 2*b - 2*n - 292 = 0. Suppose 2*s = 3*s - b. Calculate the remainder when s is divided by (1 - 26/10)/((-22)/495).
34
Let d = 772 - 748. Calculate the remainder when 128 is divided by d.
8
Let m be (-2 + 3)*-1 - 3/(-1). Calculate the remainder when (110 - -1)*(m + (-15)/9) is divided by 10.
7
Suppose -27*p = -19*p - 232. Calculate the remainder when ((-14)/5)/((-2)/60) is divided by p.
26
Suppose 4*r = 3*h - 2 + 154, r - 4*h = 51. Calculate the remainder when 166 is divided by r.
26
Let d(h) = 4 + 6*h - 5*h - 2. Let y be d(-1). What is the remainder when (4 + -4)*y + 5 is divided by 4?
1
Let s = 1246 + -390. What is the remainder when s is divided by 26?
24
Let k(r) = -r**3 - 6*r**2 - 9*r - 1. Suppose -9*c = -5*c - 196. Let i = -22 + c. Calculate the remainder when k(-6) is divided by i.
26
Suppose -34*r + 11002 = -2258. Let c be (-2)/(3/(-2) - -1). Suppose s = -c*s + r. Calculate the remainder when s is divided by 20.
18
Suppose 8*d = -12*d + 4020. Calculate the remainder when d is divided by 37.
16
Let t(g) = 3*g**3 + 12*g**2 - 6*g - 3. What is the remainder when 102 is divided by t(-4)?
18
Let m(v) = v**2 + 2*v + 19. Calculate the remainder when m(-6) is divided by 12.
7
Suppose -16*i + 1481 = 201. What is the remainder when i is divided by 45?
35
Let w(z) = -4*z**3 - z**2 + 4*z + 4. Let k be w(-3). Suppose 0 = -5*s - 6 + k. What is the remainder when 29 is divided by s?
12
Suppose -1923 = -3*j - 4*s, 0 = 2*j + s + 3*s - 1278. What is the remainder when j is divided by 59?
55
Let c(b) = -b**3 + 12*b**2 + 2*b - 18. Suppose -2*n = 3*x - 4*n - 54, -4*x + n = -67. Calculate the remainder when x is divided by c(12).
4
Let x = 142 - 129. Calculate the remainder when 38 is divided by x.
12
Suppose p - 46 = -4*r, -4*r + 56 = -0*p - 4*p. What is the remainder when 18 is divided by r?
6
Let a(k) be the first derivative of -k**4/4 - 11*k**3/3 - 7*k + 1. Let r be a(-11). What is the remainder when 27 is divided by -18 + 18 + (0 - r)?
6
Let h(j) = -j**2 - 4*j + 7. Let q be h(-5). Suppose 0 = q*c - c - 126. Suppose -c = -5*p + 4. What is the remainder when p is divided by 9?
8
Let f be 584/(6/3) + 16/(-8). Suppose -f - 110 = -8*q. What is the remainder when q is divided by 27?
23
Suppose 0 = 2*f - 9 + 25. Let i(k) = -k**2 - 7*k + 11. Let h(y) = -y**3 + 4*y**2 + 2*y - 2. Calculate the remainder when h(3) is divided by i(f).
1
Suppose 5*j = -w + 23, 49 = 3*w + 2*j + 3*j. Suppose -w*b + 75 = -55. Suppose -4*o = -77 + 1. What is the remainder when o is divided by b?
9
Let s(p) = 3*p - 5 - 5 + 0. What is the remainder when 31 is divided by s(7)?
9
Let o(y) = y**2 - 10*y + 36. Calculate the remainder when 504 is divided by o(5).
9
Suppose o - 35 = -0*o. Suppose -6*t + 2*t = -72. Suppose 64 = 5*k + 2*a, 2*k - t = 2*a + 2. What is the remainder when o is divided by k?
11
Let g(d) = -d**2 - 6*d + 12. Let c be g(-8). Calculate the remainder when (1 + c)*(2 + -1)*-2 is divided by 3.
0
Suppose 1 = -5*v - 3*y, -2*v - 20 + 30 = -4*y. Calculate the remainder when 24 is divided by v.
0
Let u(s) be the third derivative of 0*s + 1/10*s**5 - 6*s**2 - 2/3*s**3 + 0*s**4 + 0. What is the remainder when 78 is divided by u(-2)?
18
Let r(a) = a - 1. Let m be r(6). Let d(t) = t**2 + 19*t - 44. Let z be d(-22). Let o = z - m. What is the remainder when 49 is divided by o?
15
Let x(v) = -v**2 + 7*v + 7. Let g(t) = t**3 - 16*t**2 + 15*t - 8. Let i be g(15). Calculate the remainder when 249/12 - (-6)/i is divided by x(7).
6
Let x(k) = -k**3 + 16*k**2 + 19*k - 31. Calculate the remainder when 7 is divided by x(17).
1
Let h be (-3)/(-4)*(31 - 3). Let m(q) = q**3 - 21*q**2 + 3*q - 44. What is the remainder when m(h) is divided by 5?
4
Suppose x + 33 = -0*x. Let c be 2256/(-66) + (-6)/x. Let m = c - -55. Calculate the remainder when m is divided by 6.
3
Let x = -302 - -681. Calculate the remainder when x is divided by 76.
75
Let d be (-4)/10*(-35)/1. Suppose -10 = -3*x + 2*r, 3*r + d = x - 1. Suppose 3*c - c - 116 = x. Calculate the remainder when c is divided by 20.
18
Suppose -2*k + 24 = -4*y + 8*y, 4*k - 3*y = 4. Calculate the remainder when 187 is divided by k.
3
Let r(m) = -8*m - 6. Let g(o) be the third derivative of o**4/24 + 3*o**3/2 + 11*o**2. Let v be g(-14). What is the remainder when 99 is divided by r(v)?
31
Suppose -133*u + 960 = -113*u. What is the remainder when 166 is divided by u?
22
Let s = -76 - -120. Let z be 27/(-18) - 2/4. Let n(j) = -2*j**3 + 2*j**2 + j + 1. What is the remainder when s is divided by n(z)?
21
Suppose -5*f - 3*v + 25 = -v, -18 = -4*f - 2*v. Suppose 31 = f*b - 32. What is the remainder when (-1)/5 - (-726)/30 is divided by b?
6
Let i(w) = w**3 + 7*w**2 - w - 5. Let t be i(-7). Suppose -t*n + 89 = -n. Calculate the remainder when n is divided by 15.
14
Let o(p) be the second derivative of 4*p**3/3 + 3*p**2/2 - 12*p. Let n be o(3). Let l = -3 + n. Calculate the remainder when 46 is divided by l.
22
Let n = 0 - -132. Suppose -4*x = -y - n, -x - 3*y + 132 = 3*x. What is the remainder when x is divided by 19?
14
Let r = -249 + 299. What is the remainder when 241 is divided by r?
41
Suppose -4*x + 5*w = -35, 2*x - 5*w + 45 = 6*x. Let o(k) = -2*k**3 + 19*k**2 + 11*k + 5. Calculate the remainder when o(x) is divided by 6.
3
Suppose 64 = d - 14. Let l be 2*1/3*78. Suppose -s + 0 + 4 = 4*f, 0 = 2*s - 3*f - l. Calculate the remainder when d is divided by s.
18
Let o(a) = a**3 + 8*a**2 - 6*a + 27. Let s be o(-9). Suppose s = -8*w - 10 + 194. Calculate the remainder when w is divided by 15.
8
Suppose 5*b = 4*x - 20, 5*x + 3*b = 2*x + 15. Suppose -5*g + x*o - o + 73 = 0, -2*g = 3*o - 20. What is the remainder when 22 is divided by g?
9
Let z(k) = -k**3 + 5*k**2 - 3*k - 4. Let r be z(4). Suppose 2*o - 164 = -x, -5*o = -r*x + 4*x - 410. What is the remainder when o is divided by 43?
39
Let p(l) = -l**2 + 38*l - 38. What is the remainder when p(35) is divided by 35?
32
Let p(t) = 1 - 3*t**3 + 5*t**3 - t**2 - 4. Calculate the remainder when 23 is divided by p(2).
5
Suppose 0 = 14*a - 413 - 105. Calculate the remainder when 73 is divided by a.
36
Let m = -189 + 228. Calculate the remainder when 115 is di