ulate the remainder when ((-210)/g)/((-3)/(-8)) is divided by p.
4
Let s(p) = -2*p - 3*p + 3*p - 4. What is the remainder when 83 is divided by s(-9)?
13
Let p be ((-2)/(-2 + 1))/2. Suppose -3*k = 3*i - 6, -5 - p = -4*i - 2*k. What is the remainder when i is divided by 1?
0
Suppose -3*x + 11*x + 776 = 0. Let l = x - -144. What is the remainder when l is divided by 12?
11
Let p be (((-12)/(-9))/1 - -1)*3. Suppose -p*l - 7 = -56. Suppose 3*x + 16 = u, 4*u + 2*x + 2*x = 48. Calculate the remainder when u is divided by l.
6
Suppose 12 = -5*q + 167. Suppose -256 = -2*s + 5*c, 0*c - 236 = -2*s - 5*c. What is the remainder when s is divided by q?
30
Let j = 105 + -72. What is the remainder when j is divided by 9?
6
Let m(w) be the second derivative of 17*w**4/12 + w**3/6 - w**2/2 - 3*w. Calculate the remainder when m(1) is divided by 6.
5
Let j(f) = 20*f**2 + 3*f - 8. What is the remainder when j(2) is divided by 70?
8
Suppose 731 = 2*s + 9*a - 4*a, 2*s - 5*a - 701 = 0. Calculate the remainder when s is divided by 11.
6
Let v(b) = -30*b + 105. What is the remainder when 120 is divided by v(3)?
0
Suppose 5*p + 10 = 4*v - 44, -2 = -2*v. Suppose 66 = 4*g - 3*r, -g + 4*r + 7 + 3 = 0. Let k = p + g. What is the remainder when 30 is divided by k?
6
Let x be 4/(-8) + 3/6. Suppose x*s + 1 = -s, 4*s = 5*b - 29. What is the remainder when (-2 + -1)/(3/(-8)) is divided by b?
3
Let o = -255 - -283. Calculate the remainder when o is divided by 5.
3
Let l = 282 + -197. Let f = 2 + 4. Suppose 3*j - 56 = -2*s, 3*j = s - 4 - f. What is the remainder when l is divided by s?
19
Let y = -25 + 32. Suppose 10*p = y*p + 69. Let f = -12 - -56. What is the remainder when f is divided by p?
21
Let s(k) = 8*k + 4 - 10*k + 5*k. Calculate the remainder when 39 is divided by s(3).
0
Suppose 3*l - 30 = 4*g - 17, -2*g + 54 = 4*l. Suppose -90 = -3*q + 69. Calculate the remainder when q is divided by l.
9
Let k = 19 - -21. Suppose 2*n + 18 = -n - 3*i, -3*i - 3 = 0. Let r = k - n. What is the remainder when r is divided by 16?
13
Let i = -11 + 17. Suppose -89 = -i*o + 109. What is the remainder when o is divided by 20?
13
Suppose 2*b - 16 = -2*s - 2, -b - 13 = -3*s. Let c(z) = z + 9 - 1 - 3*z + z. Calculate the remainder when b is divided by c(7).
0
Let s = 421 + -388. What is the remainder when 81 is divided by s?
15
Suppose 19 = 5*i + 4. Let o(t) = 9*t + 17*t**3 - 9 - 16*t**i - t - 8*t**2. What is the remainder when o(8) is divided by 14?
13
Suppose 43*y + 1700 - 6602 = 0. What is the remainder when 795 is divided by y?
111
Let p(j) = -2*j - 8. Let i be p(-8). Let g = i + 7. What is the remainder when 58 is divided by g?
13
Suppose -5*k + g = -725, -3*g = -k - 65 + 224. What is the remainder when k is divided by 4?
0
What is the remainder when ((-177)/6)/((-9)/54) is divided by 10?
7
Let z(s) be the third derivative of s**5/15 + s**4/24 + s**3/6 - s**2. Suppose 3857*l - 3881*l = -168. What is the remainder when l is divided by z(-1)?
3
Let i = 297 + -142. What is the remainder when i is divided by 54?
47
Let l(x) = x**3 + x**2 + x + 3. Let j = -14 - -14. Let q be l(j). Suppose -q*h - 1 = -4. Calculate the remainder when h is divided by 1.
0
Suppose 0 = 3*f - 5*n + 13, -f + 21 + 8 = 5*n. What is the remainder when 39 is divided by ((-123)/(-12))/1 + (-1)/f?
9
Suppose -7*q + 10*q - 528 = 0. Calculate the remainder when 87 is divided by (q/(-16))/(1*(-1)/2).
21
Suppose 0 = -5*w + 5, 3*n + 5*w = 14. Suppose -2*c + 10 = 0, n*q - 28 = -4*c + 100. Calculate the remainder when 106 is divided by q.
34
Let s = 78 - 28. Let j = 83 - s. Suppose 33 = 3*t - 21. What is the remainder when j is divided by t?
15
Let r = 66 + -30. Suppose -7*x + 3*x = 3*y - 193, 4*y = -5*x + 258. Calculate the remainder when y is divided by r.
31
Suppose -31*f - 462 = -53*f. What is the remainder when 2307 is divided by f?
18
Suppose 5*m - 10 = -4*y, 5*m + 7*y - 20 = 5*y. Let q = 14 - -3. What is the remainder when q is divided by m?
5
Let n = 26 - 24. Suppose 4*d - 2*b + 6*b = 12, 4*b = -n*d - 4. Calculate the remainder when 18 is divided by 4/(d/14) + -2.
3
Let r = -12 + 20. Calculate the remainder when r is divided by (-1*(-4)/30)/((-107)/(-1605)).
0
Let o = 1 + -1. Suppose 2*w - 68 = -o*w. What is the remainder when w is divided by (8 - 52/6)/((-6)/9)*9?
7
Let c(m) = 2*m + 99. What is the remainder when c(-38) is divided by 22?
1
Suppose -2*p - p = -96. What is the remainder when p/3 - 7/(-21) is divided by 5/(-10) - (-9)/2?
3
Suppose 2*q = 2*b + 20, 0*q - 2*q - 64 = 5*b. Let i = b + 2. Let g = i - -22. Calculate the remainder when 33 is divided by g.
9
Let j = 278 + -191. Let p(c) = -7*c + 8. Let h be p(-6). Suppose -x + 82 = 2*x + 2*l, 0 = x - 5*l - h. What is the remainder when j is divided by x?
27
Suppose 2*n - 3*x = 116, -2*n - 2*x + 120 = -3*x. What is the remainder when n is divided by 42?
19
Suppose -5*c + 64 = 2*n, -3*c + n = -46 + 1. Let q = 85 - -81. Suppose -2*m = 5*y - 268, 3*y - 4*m = -0*m + q. Calculate the remainder when y is divided by c.
12
Suppose 3*a + 13 = 4*a + 5*z, 5*z + 35 = 5*a. Suppose 3*v = -53 + a. Let q = 8 - v. What is the remainder when 89 is divided by q?
20
Let b(p) = -2*p + 5. Let u be b(3). Let y(z) = -15*z. Calculate the remainder when 27 is divided by y(u).
12
Suppose 120 = 45*t - 40*t - 5*w, 0 = -3*t - w + 80. Calculate the remainder when 435 is divided by t.
19
Let c be 1*29 - -1 - 1. Let h = 423 + -440. Let x = h + c. Calculate the remainder when 35 is divided by x.
11
What is the remainder when 285 is divided by (3/(18/(-292)))/(2/(-3))?
66
Let r = -945 - -963. Calculate the remainder when 34 is divided by r.
16
Let d = -45 - -67. Let c = -10 + d. Let y(i) = i**2 - 10*i - 8. What is the remainder when 29 is divided by y(c)?
13
Let x(l) = -l**3 - 33*l**2 - 86*l + 151. What is the remainder when 79 is divided by x(-30)?
17
Suppose 0 = -2*b - t + 734, b + 6*t = 2*b - 354. Calculate the remainder when b is divided by 22.
14
Let p(d) = -2*d**2 - 10*d + 18. What is the remainder when 10 is divided by p(-6)?
4
Suppose 0 = 3*s + 2*z + 34, 2*z = 3*s + 35 - 9. What is the remainder when 1 is divided by 4/10 + (-6)/s?
0
Suppose -2*l = -3*m + 230, -75 = -m + l - 0*l. What is the remainder when m is divided by 6?
2
Suppose 96*g = 94*g + 274. Calculate the remainder when 552 is divided by g.
4
Suppose 66*g = 24*g + 58380. Calculate the remainder when g is divided by 29.
27
Suppose -5*r + 0*k + 540 = -4*k, -2*k = 3*r - 302. What is the remainder when r is divided by 30?
14
Let j = -46 + 180. What is the remainder when 3/6*j*(-2 + 3) is divided by 10?
7
Suppose 2*r - 12 = 5*n, -5*r - n = -0*n - 30. Let m(k) = -k + 3. Let i be m(r). Let x(a) = -12*a - 4. What is the remainder when x(i) is divided by 11?
10
Let g(u) = u**3 - 2*u**2 - 4*u - 1. Let p be (4/(-4) + 2)*(-2 - -10). What is the remainder when (-454)/(-8) + 1 - (-2)/p is divided by g(4)?
13
Let c(m) be the first derivative of -m**4/4 - 2*m**3 - 11*m**2/2 - 18*m - 13. What is the remainder when c(-6) is divided by 13?
9
Suppose -9 = 3*j, -3*j - 234 = 7*y - 12*y. What is the remainder when y is divided by 32?
13
Let y(q) = 17*q**2 + 3*q + 1. Let r be ((-8)/24)/((-1)/(-3)). What is the remainder when 54 is divided by y(r)?
9
Suppose 10*r + 345 - 1415 = 0. Let l = r - 28. What is the remainder when l is divided by 20?
19
Let a = -190 + 203. Calculate the remainder when 21 - (-5 + 2 + 1) is divided by a.
10
Suppose -5*n + 43 = 3*f, -35*f = n - 36*f - 7. What is the remainder when 694 is divided by n?
6
Suppose 44 = u + 3*u. Let l = u + 13. What is the remainder when (13/2)/(4/l) is divided by 10?
9
Suppose 19*g = 18*g + 35. Suppose 2*d - 3*r = g, -71 + 26 = -3*d + 2*r. What is the remainder when 37 is divided by d?
11
Let x be -2 - (-12)/((-12)/4). Let z be (-718)/x - 2/(-6). Let o = 238 - z. What is the remainder when o is divided by 30?
28
Let q be 15/(-6) + 3/6. Suppose 0 = -4*p + 8 + 12. Calculate the remainder when 0 + -2 + q - -22 is divided by p.
3
Suppose 0 = 12*k - 19*k - 154. Let n = 17 - k. Calculate the remainder when n is divided by 6.
3
Let i = 267 + 101. What is the remainder when i is divided by 53?
50
Let y(w) = w**2 + 4*w - 139. What is the remainder when 115 is divided by y(12)?
9
Let h(o) = -4*o**2 - 187*o + 12