r + 16. Let o be q(-8). Suppose 4*f + 5*s + o*s - 33 = 0, -26 = -3*f - 5*s. Calculate the remainder when y(7) is divided by f.
5
Let k = 2 - 2. Let t(i) = i**3 + i**2 + i + 60. What is the remainder when t(k) is divided by 21?
18
Suppose m = -4*w + 140, w + 3*m - m = 35. Let i = w + -24. Suppose -97*a = -91*a - 126. What is the remainder when a is divided by i?
10
Suppose -26*t + 160 = -6*t. Calculate the remainder when 1/(-2*3/(-174)) is divided by t.
5
Let d(u) = -9*u + 5. Let l(k) = -4*k + 3. Let o(r) = -6*d(r) + 14*l(r). Let h be o(8). Calculate the remainder when (h/(-3))/(4/42) is divided by 4.
2
Suppose -2282*t + 2270*t = -132. Calculate the remainder when 113 is divided by t.
3
Let t = 26 + -23. Suppose 2*n = 5*i - 189, -t*n = 2 + 4. Calculate the remainder when i is divided by 11.
4
Let s(i) = 23*i - 15. What is the remainder when 88 is divided by s(2)?
26
Let o(q) = 24*q - 181. What is the remainder when o(20) is divided by 12?
11
Suppose w + 4*w + 15 = 0, w + 8 = v. Suppose v*b - 3*f - 24 = 0, -4*b = 5*f + 1 + 2. What is the remainder when 12 is divided by b?
0
Let k = 15 + -4. What is the remainder when k is divided by 12/8*24/9?
3
What is the remainder when (-2225)/(-15) - (-4 - (-13)/3) is divided by 51?
46
Suppose 0 = -5*g + o + 30 + 13, 0 = 4*g + 2*o - 26. What is the remainder when 5 is divided by (g/(-4))/(2/(-2))?
1
Let k = -147 - 13. Suppose -5*h = -10*h + 85. Calculate the remainder when h is divided by 10/35 + k/(-28).
5
Let n = -18 - -19. Let b = n - 22. What is the remainder when 20 is divided by (-6)/b - (-47)/7?
6
Let g = -3 - -3. Let c be (g - -2)*19/2. Suppose -c = -v - 0. Calculate the remainder when 54 is divided by v.
16
Suppose 79 = n + 28. Let v(p) = -2*p**2 + p + 4. Let w be v(3). Let r = 24 + w. Calculate the remainder when n is divided by r.
12
Suppose -6*f - 323 + 995 = 0. Suppose 2*p + f = 2*s + p, 0 = -2*p - 4. Let v(a) = 5*a - 1. What is the remainder when s is divided by v(3)?
13
Let s(a) = a + 9. Let f be s(-7). Suppose -2*c + 3*c + 42 = i, i - f*c = 46. Suppose 0 = 3*h - 43 - i. What is the remainder when h is divided by 16?
11
Let p(d) = d**3 + 8*d**2 - 104*d + 21. What is the remainder when 82 is divided by p(-15)?
4
Let k(l) be the third derivative of -l**6/120 - l**5/6 - l**4/8 - 7*l**3/2 + 5*l**2. Calculate the remainder when k(-10) is divided by 3.
0
Let y = 2030 - 1473. Calculate the remainder when y is divided by 6.
5
Let d(l) = l**3 + 22*l**2 + 43*l + 69. What is the remainder when 4/(-14) + 258/21 is divided by d(-20)?
3
Let n = -481 - -515. Calculate the remainder when n is divided by 27.
7
Let h be -3*(3 + 2) + 1. Let b = 28 + h. What is the remainder when b is divided by 4?
2
Let t = 161 - 148. Suppose 0 = 2*x + 5*x - 532. What is the remainder when x is divided by t?
11
Let w be 2932/10 - (-24)/30. Let c = 622 - w. Suppose j + 2*q + c = 6*j, 5*j - 331 = -q. What is the remainder when j is divided by 17?
15
Calculate the remainder when (120834/154)/9 + 2/(-11) is divided by 47.
40
Let r(o) = o**2 - 3*o + 3. Let b be r(3). Let c = 5 + b. Suppose 0 = -4*w - c + 60. Calculate the remainder when w is divided by 7.
6
Suppose 5 = -3*f - 1. Let v be 56 - 1/(1/f). Suppose -4*c + v - 2 = 0. Calculate the remainder when 39 is divided by c.
11
Suppose 9*q = 193 + 77. Calculate the remainder when 55 is divided by q.
25
Suppose 0 = 4*b - 5*y - 159, -5*y + 276 - 66 = 5*b. Let w = b - 28. Let o(l) = -l**2 + 17*l - 11. What is the remainder when o(w) is divided by 11?
8
Let g(r) = r + 1. Let w(c) = 4*c. Let q(p) = g(p) + w(p). Let y = -3 - -18. Calculate the remainder when y is divided by q(1).
3
Let d(l) = -46*l + 40*l + 3 - 24. What is the remainder when (8/2)/(1/13) is divided by d(-8)?
25
Let x = -9 - -12. Suppose 2*r - 1 = x. Suppose v = -2*v + 5*k + 17, -4 = -v + r*k. Calculate the remainder when v is divided by 5.
4
Let w = 206 - 192. What is the remainder when 108 is divided by w?
10
What is the remainder when 42 is divided by (-254)/(-381) - (43/(-3) - 1)?
10
Suppose 3 = -3*y - 5*d, 2*y - 26 + 3 = 5*d. Calculate the remainder when 49 is divided by y.
1
Suppose i - 21 = 43. Suppose 89 + 76 = z. Suppose 7*f - 2*f - z = 0. Calculate the remainder when i is divided by f.
31
Let f(o) = -202*o + 1. Let w = -28206 - -28258. Calculate the remainder when f(-1) is divided by w.
47
Suppose 17*k - 15*k - 5*b = 42, -2*b + 105 = 5*k. What is the remainder when k is divided by 17?
4
Suppose -80 = -3*r + 5*n, 8*r - 11*r + 56 = n. Calculate the remainder when 54 is divided by r.
14
Suppose 0 = 2*w - 4*w + 22. Suppose w - 15 = -2*s. Suppose 4*z - s*q = 76, 0 = -5*z + 4*z - 3*q + 5. What is the remainder when 31 is divided by z?
14
Calculate the remainder when 113 is divided by (-1406)/(-114) + 2/3.
9
Let v be 48/(-6 + 2) - 4. What is the remainder when (v/(-24))/(1/129) is divided by 22?
20
Let a(c) = -c + 10*c - 2 + 8 + 0*c. Let t = 1 + 20. Calculate the remainder when a(6) is divided by t.
18
Suppose 3*n + g = 58, 2*n + 2*g - 30 - 2 = 0. Suppose n*o - 22*o = 15. What is the remainder when 61 is divided by 126/o*15/(-6)?
19
What is the remainder when 175 is divided by (-25)/(-1) - (-6)/(-1 + -2)?
14
Suppose 10 = 2*t, t + 98 = y + 5*t. Suppose -2*d - 10 = -j, -5*j + y = -6*d + 3*d. What is the remainder when 123 is divided by j?
15
Let w = -196 + 232. Calculate the remainder when 67 is divided by w.
31
Let y(h) = -h**3 + 24*h**2 + 12. Calculate the remainder when y(24) is divided by 5.
2
Let c(i) = -2*i**2 + 8*i**2 - i**2 + 0*i**2 + 5 - i**3. Let o(s) = s**3 + 6*s**2 + 4*s + 2. Calculate the remainder when o(-3) is divided by c(5).
2
Let g(n) = 5*n**2 - 23*n - 14. Calculate the remainder when 109 is divided by g(6).
25
Suppose 4*g + 8*s - 196 = 6*s, -2*g + 98 = 5*s. Calculate the remainder when 143 is divided by g.
45
Suppose f = -2*y + 22, 9*f - 2*y - 158 = 4*f. Calculate the remainder when 81 is divided by 837/f + 1/10.
25
Let j(z) = -z**3 + 6*z**2 - 5*z - 7. Calculate the remainder when 119 is divided by j(4).
4
Suppose 0 = -r + 5*t + 72, -2*t - 199 = -3*r - 4*t. What is the remainder when r is divided by 23?
21
Suppose 0 = -4*p + 12, 5*p + 0*p - 360 = -5*t. Suppose -2*k = t - 7. Let h = -22 - k. Calculate the remainder when 24 is divided by h.
6
Let p = 261 + -151. Let m = -103 + p. Calculate the remainder when 33 is divided by m.
5
Let h = -229 + 240. What is the remainder when 21 is divided by h?
10
Let o(k) = k**2 - k. Let h(y) = 4*y**2 + 18*y - 16. Let n(b) = 2*h(b) - 10*o(b). What is the remainder when 59 is divided by n(22)?
11
Let f(z) = -3*z - 1. Let x be ((-8)/12 + 1)*12. Let s(w) = 8*w + 4. Let o(u) = x*s(u) + 11*f(u). What is the remainder when 45 is divided by o(-11)?
13
Suppose -2*t + 17 = -b, -3*t - 24*b + 26*b = -26. Calculate the remainder when 97 is divided by t.
1
Suppose -70 = -5*w - 4*k, 4*k - 8 = 4*w - 64. What is the remainder when 133 is divided by w?
7
Calculate the remainder when 371 - (-3 + 2 + -2) is divided by 15.
14
Calculate the remainder when 132 is divided by 28*2 + (1 - (-15 - -23)).
34
Let n = -19 - 36. Calculate the remainder when 89 is divided by (-176)/(-10) + (-22)/n.
17
Let f(b) = b**3 - 22*b**2 + 21*b + 13. Let c(r) = -4*r + 1. What is the remainder when c(-6) is divided by f(21)?
12
Suppose -8 = -16*b + 12*b. Let t = b - 10. Let p(q) = q**2 + 6*q - 10. Calculate the remainder when 23 is divided by p(t).
5
Let q(h) = 11*h. Suppose 0 = -3*p - 0*p - 5*a + 23, p = a - 3. Calculate the remainder when ((-200)/35)/(6/(-21)) is divided by q(p).
9
Let q = -595 - -612. What is the remainder when q is divided by 14?
3
Let z be 1085/(-45) + 2/18. Suppose 0 = -2*k + 6 - 4. Calculate the remainder when ((-104)/z + -4)/((-2)/(-12)) is divided by k.
0
Let y be 2 - -2 - (5 + -1). Suppose -2*s + 5*h + 15 = y, -s - s = 2*h - 36. What is the remainder when 28 is divided by s?
13
Calculate the remainder when 4 - 29954/(-12) - (-1)/(-6) is divided by 61.
60
Let z(x) = -4*x - 4. Let p be z(4). Let j = p + 27. Calculate the remainder when 12 is divided by j.
5
Let i(l) = 3*l**2 - 18*l + 64. Let p(m) = m**2 - m - 1. Let u(s) = i(s) - 2*p(s). Let k = 39 + -28. What is the remainder when k is divided by u(9)?
2
Let k(a) = -a**2 - 16*a + 11. Calculate the remainder when 106 is divided by k(-