uppose -4*f = 5*h - 503, -h = f - 0*f - 127. Let w = -53 + f. Suppose -3*b + x + w = 0, -3*b - 2*x + 65 = -29. What is the remainder when b is divided by 16?
12
Let t(j) = 5 + 2*j - 4*j - 2*j + j**3. What is the remainder when t(3) is divided by (-62)/(-6) - (-2)/3?
9
Suppose 6*o = 10*o + 5*i - 91, 5*o + 2*i - 101 = 0. Suppose 3*x - 2*x = q + 39, 97 = 3*x + 2*q. What is the remainder when x is divided by o?
16
Suppose -2*h = h - 3, -4*g + 93 = -3*h. Let l(k) = 17*k**2 - 2*k - 2. Let v be l(-2). Calculate the remainder when v - (0 - 1)*1 is divided by g.
23
Let q(d) = -d**2 - 16*d + 22. Let s be q(-17). Suppose -s*k - 2*j + 191 = -0*j, 5*j - 163 = -4*k. Calculate the remainder when k is divided by 14.
9
Suppose -25*v + 29*v = 212. What is the remainder when v is divided by 14?
11
Let g = 1504 - 1016. What is the remainder when g is divided by 14?
12
Let z(k) = k**2 + 4*k - 1. Calculate the remainder when z(9) is divided by 17.
14
Suppose k + 4*k = n - 12, 6 = -3*k. Calculate the remainder when 24 is divided by (-18 - -12)*(-5)/n.
9
What is the remainder when 93 is divided by (10/4)/(-5 - 994/(-196))?
23
Suppose 0 = 4*h + 3*h - 12*h + 245. What is the remainder when h is divided by ((-6)/(-2))/(9/78)?
23
Suppose 2612 = -14*a + 8408. Calculate the remainder when a is divided by 16.
14
Let x(b) = b**2 - 19*b - 6. Let o(f) = 3*f**2 - 39*f - 13. Let m(g) = 4*o(g) - 9*x(g). Calculate the remainder when m(-6) is divided by 13.
7
Suppose 5*i = -t + 13 + 14, t + 3 = i. Suppose -i*k + 9*k - 16 = 0. Suppose -b = u - 4, -u = k*b - 8 - 5. What is the remainder when 1 is divided by u?
0
Let g be (36/(-8) - -3)*(-162 - -2). Suppose 0*z = 5*z + 4*y - g, -4*z + 203 = y. Calculate the remainder when z is divided by 14.
10
Let s = 171 - 115. Suppose -2*h + 40 = 3*y, 5*y + 5*h - 7*h = s. Calculate the remainder when y is divided by 12.
0
Suppose 4*k = -5*n + 88, k + 4*n - 20 = 2. What is the remainder when 138 is divided by k?
6
Let h be (4 - 7)*112/(-3). What is the remainder when (-2 - 0)*8/(-2) is divided by h/16 + 4*-1?
2
Suppose i - w - 8 = -0*w, 14 = 2*i - w. Let p be 2 + (-2 - 0) + i. Let m = -4 + p. Calculate the remainder when 3 is divided by m.
1
Suppose x + 0 = 7. Calculate the remainder when x is divided by 7.
0
Suppose -5*l - 20 = -135. Let x be 9/5 + (-12)/(-60). Let r = 10 - x. Calculate the remainder when l is divided by r.
7
Let n = -232 + 355. Suppose 36 - n = -3*i - 2*q, 4*i + 3*q = 117. Calculate the remainder when i is divided by 7.
6
Suppose 0 = 5*m + 3*p - 90 - 35, 5*m = p + 125. Calculate the remainder when 1224 is divided by m.
24
What is the remainder when 4075/15 - 1/6*10 is divided by 39?
36
Let a = -268 - -276. Calculate the remainder when 230 is divided by a.
6
Let a(t) be the first derivative of -t**2/2 + 11*t + 2. Let p = -18 + 18. Calculate the remainder when a(p) is divided by 5.
1
Let t(h) = -4*h - 20. Suppose -z = -2*y + 2, -4*z + 3*z + 5*y + 7 = 0. Let r be t(z). Suppose 3*s - 5*s = -r. What is the remainder when s is divided by 4?
2
Let i(f) = -854*f - 4 + 3 + 7*f**2 - 1 + 858*f. Suppose -2*w - 27 = -5*j, -3*j - w + 24 = 2*j. What is the remainder when i(1) is divided by j?
4
What is the remainder when 29 is divided by ((-3)/(-2))/((-1)/(-10))?
14
Let y(o) be the second derivative of o**4/12 + 7*o**3/6 - o**2/2 - 4*o. Let r be y(-7). Let v = r + 64. Calculate the remainder when v is divided by 11.
8
Suppose 2*y + 0*y + 5*h + 5 = 0, -5*y = h - 45. What is the remainder when (-6)/10 - (-702)/45 is divided by y?
5
Let a be (6/5)/((-2)/5). What is the remainder when 11 is divided by (a - 5/(-2))*-14?
4
Let y(c) = c**3 - 4*c**2 + 2*c - 4. Let w be y(4). Suppose -w*g = g + 40. Let u(z) = -7*z + 5. What is the remainder when u(g) is divided by 16?
13
Let a = 87 + -39. What is the remainder when a is divided by 2/((-24)/(-129)) - (-249)/(-332)?
8
Let m = 0 - -8. Let d be 2/(-2 - (-24)/9). Suppose -m*l + 195 = -d*l. What is the remainder when l is divided by 14?
11
Let p(v) = 10*v - 28. Let s be p(4). Suppose s*l - 750 = 522. Calculate the remainder when l is divided by 28.
22
Let b(w) = -3*w - 17. Let n be b(-6). Let x be (228/(-36))/(n/(-18)). Suppose -x = -25*v + 23*v. Calculate the remainder when v is divided by 30.
27
Suppose 0 = 6*k - 8*k - 42. Let w = k - -3. Calculate the remainder when ((-24)/w)/(4/246) is divided by 28.
26
Suppose -3*f + 3*j + 0*j + 60 = 0, -3*f + 52 = -5*j. Calculate the remainder when 310 is divided by f.
22
Suppose 2*t - 69 = -5*y + 2*y, 0 = -2*y - 2. What is the remainder when 123 is divided by t?
15
Let p = -82 + 161. Suppose -r = 687 - 707. Calculate the remainder when p is divided by r.
19
Suppose 31 + 19 = 5*x. Let u(h) = 3*h + 21. What is the remainder when u(-2) is divided by x?
5
Suppose 1 = -a - 3*c, -3*a + 3*c + 4 = 5*c. Suppose -140 = -4*k + 5*i, a*i - 48 = 5*k - 6*k. Calculate the remainder when k is divided by 11.
7
Let x(k) = 16*k**2 + 6*k + 7. What is the remainder when 351 is divided by x(-2)?
56
Let i = 29 + 88. What is the remainder when i is divided by 30?
27
Suppose v - 3*l + 2 = -l, -4*v + 5 = 5*l. Suppose -7*p + 1 + 20 = v. Calculate the remainder when p is divided by 1.
0
Suppose -115 = -5*d - 3*a + 186, -3*d = -2*a - 192. What is the remainder when 555 is divided by d?
59
Suppose -5*p - 6*p = -121. Calculate the remainder when 84 is divided by p.
7
Let l = 62 - 18. Let p = l - 30. Calculate the remainder when p is divided by 8.
6
Let n(h) = -h**3 - 5*h**2 - 6*h - 6. Let y be n(-4). Suppose 7*g - y*g - 40 = 0. What is the remainder when 82*(-2)/g*-4 is divided by 28?
26
Let z = -222 - -466. What is the remainder when z is divided by 35?
34
Let y(u) be the second derivative of -1/4*u**4 - 1/20*u**5 + u**3 - 3*u - 3/2*u**2 + 0. Calculate the remainder when y(-5) is divided by 10.
7
Let p(s) = s**3 + 9. Let a be p(0). Let l(c) = 3*c - 17. Calculate the remainder when l(a) is divided by (-2 + 0)/(4/(-6)).
1
Let p(g) = 2*g - 5. Let c(u) = u**2 + 6*u + 9. What is the remainder when c(-2) is divided by p(3)?
0
What is the remainder when 157 is divided by 24 - 7/((-70)/(-100))?
3
Suppose -4*m - 3*d - 2*d = 97, -92 = 4*m + 4*d. Let a = m - -30. Calculate the remainder when 34/4 - 6/a is divided by 3.
2
Let g = 12 + -6. Suppose -5*p + g*p = 0. Suppose -3*d + 48 = -p*d - 5*n, 90 = 4*d + 2*n. Calculate the remainder when 83 is divided by d.
20
Let g(p) = -23*p + 1. Let a be g(-1). Let l = a + -24. Suppose l = -m + 13 + 6. What is the remainder when m is divided by 7?
5
Let t(h) = h**3 + h**2 - 9. Let r be t(0). Let j be (39/r)/(1/3). Let o = -1 - j. What is the remainder when o is divided by 5?
2
Suppose 3*u = -2*x - 22, -5*x = -0*u + u + 29. Let j(l) = 6*l - 10. Let o be j(u). Let h = -13 - o. Calculate the remainder when h is divided by 13.
8
Let r be 6 - (-4)/(8/(-2)). Suppose -93 - 62 = -5*t + r*j, -5*t - 3*j = -123. Calculate the remainder when t is divided by ((-35)/(-28))/((-3)/(12/(-1))).
2
Let c(f) = -f**2 + 5*f - 4. Let n be c(3). Let b be 2*(n - 4) - -2. Calculate the remainder when 17 is divided by 2/b + (-24)/(-4).
2
Let y(g) = -g. Let o(b) = 7*b + 16. Let t(c) = o(c) + 6*y(c). Let f = -11 - -15. What is the remainder when f is divided by t(-13)?
1
Suppose 2*q + 6 = -0*p + 5*p, 2*p = 4*q - 20. What is the remainder when 55 is divided by q?
6
Let k(z) = -6*z. Let h(q) = q**2 - 12*q - 16. Let x be h(13). Let m be k(x). What is the remainder when (2/(-3))/(m/(-1809)) is divided by 17?
16
Suppose 4*b - 88 = d, -5*b = 2*d + 27 - 137. Let j be 47/5 + (-6)/15. What is the remainder when b is divided by ((-78)/j)/((-4)/6)?
9
Let a be (-5 + 6 + 6)/((-1)/2). Let x = a + 42. Calculate the remainder when 80 is divided by x.
24
Let a = 30 - 177. Let o = 242 + a. Calculate the remainder when o is divided by 32.
31
Let g(r) = -r**3 + 5*r**2 + 7*r - 1. Suppose 4*y - 4 = 20. Calculate the remainder when (-532)/(-84)*((-2)/2 - -4) is divided by g(y).
4
Suppose -4*l + 175 = 5*f, -140 = -4*f - l - 0. Suppose 0*d - 5*d + f = -g, d + 14 = -4*g. What is the remainder when 7 is divided by d/4 + 6/12?
1
Let o = 12 + 121. Suppose -575 = -5*f - 3*g + 5*g, f = 4*g + o. What is the remainder when f is divided by 40?
33
Suppose 0 = 4*u - 3*f + 67, u + u - 3*f + 35 = 0. Let s = 7 + u. Let v = 18 + s. What is