1 - 1 + 2 + 5*z**2. Calculate the remainder when j(y) is divided by 27.
24
Let s(n) be the third derivative of n**5/30 + 11*n**4/24 + 7*n**3/6 + 9*n**2. What is the remainder when s(-7) is divided by 10?
8
Let q = 35 - 26. Let m(c) = 4*c - 5 + 9*c - 3*c**2 + 2*c**2. What is the remainder when m(q) is divided by 8?
7
Suppose -45*u = -5*u - 1280. What is the remainder when u is divided by 11?
10
Let t(k) be the third derivative of k**4/24 + 5*k**3/6 + 6*k**2. Let s = 38 + -4. What is the remainder when s is divided by t(7)?
10
Let p be ((-1)/4)/(0 + (-6)/552). Suppose 3*s - p = 52. Calculate the remainder when 69 is divided by s.
19
Let y(h) = h**2 - 3*h + 5. Let u(k) = -15*k**2 - 1. Let g be u(1). Let a = -7 - g. What is the remainder when a is divided by y(3)?
4
Let b = 48 - 19. Suppose -144 = -3*a + 195. What is the remainder when a is divided by b?
26
Let f = 178 + -188. Let s be -1 + 1/(-1)*1. Let m = s - f. Calculate the remainder when 23 is divided by m.
7
Suppose 4*r + 38 = 2*f, 3*r + 4*f = r - 24. What is the remainder when (-1262)/(-8) - -6*r/80 is divided by 53?
51
Suppose 0 = 3*d + 4*h + 7 - 77, -5*d - 3*h + 113 = 0. Calculate the remainder when (-170)/4*(-1 + -1) is divided by d.
19
Suppose 2*g + 20 = 2*x - 32, 0 = -x - g + 22. What is the remainder when 160 is divided by x?
16
Suppose -230*s - 252 = -236*s. What is the remainder when 126 - (4 - 4/4) is divided by s?
39
What is the remainder when 21 is divided by 6/(14/(-20) + 1)?
1
Let r(q) = q + 8. Let o = -3957 - -3984. Calculate the remainder when o is divided by r(0).
3
Suppose -a = u + 105, 0 = -3*a + 2*a - 4*u - 102. Let d = a + 113. What is the remainder when 48 is divided by d?
6
Suppose 2 = -2*g, 2*l - 4*l + 10 = -2*g. Suppose 3*w + 26 + 19 = h, 0 = -4*h + w + 125. Calculate the remainder when h is divided by l.
2
What is the remainder when 38 is divided by (5 - 45)*(-3)/6?
18
Suppose 13*h = 7 + 58. Suppose -h*i + 0 = -50. Calculate the remainder when i is divided by 6.
4
Let k = -18 - -35. Suppose 82 = 59*q - 390. What is the remainder when k is divided by q?
1
Let h = -3 - -3. Suppose 53 = -h*j + j. Let b = 74 - 47. Calculate the remainder when j is divided by b.
26
Let r = -139 - -177. Calculate the remainder when 265 is divided by r.
37
Suppose 6 + 42 = 6*b. Let w = 11 - b. Suppose -4 = -w*j + 2. What is the remainder when 3 is divided by j?
1
Let x be -1 - (-3 - (-6 + 5)). What is the remainder when 135 is divided by 34/(3 + (-2)/x)?
33
Let j = -50 - -85. Let t be (-559)/5 - 7/j. Let x = t - -161. Calculate the remainder when x is divided by 13.
10
Let p = 675 + -656. Calculate the remainder when 339 is divided by p.
16
Let d = 55 - 25. Suppose q + 7 = d. Suppose -4*a + 20 = r, -8 = 5*r + 12. Calculate the remainder when q is divided by a.
5
Suppose 24*x + 344 = 67*x. Calculate the remainder when 22 is divided by x.
6
Let d(y) = -2*y**3 + y**2 + 5*y + 3. Calculate the remainder when d(-3) is divided by 36.
15
Suppose m = q - 8, 2*q + q = -2*m + 34. Let a(r) = 9*r - 1. What is the remainder when a(q) is divided by 30?
29
Suppose -5*c + 237 = 47. Let b(r) = 2*r - 7. Let k be b(5). Suppose -5*s = -3*o + 21 + 9, k*s = 2*o - 20. Calculate the remainder when c is divided by o.
8
Let d be (24/(-40))/(2/(-10)). Suppose -2*i = i + 6, 5*g + d*i - 164 = 0. Calculate the remainder when 2*g/(-4)*-1 is divided by 5.
2
Let x(b) = -4*b - 4. Let a = 146 + -87. Calculate the remainder when a is divided by x(-4).
11
Suppose 31*i = -4445 + 11761. Calculate the remainder when i is divided by 15.
11
Suppose -5*d + 153 + 72 = 0. Calculate the remainder when d is divided by 10.
5
Suppose 2*t = 4*n - 396, 0 = -n + t + 4*t + 117. Suppose u - n = -2*q, 8*q - 220 = 3*q + 5*u. Calculate the remainder when q is divided by 16.
15
Let n be 54/4 - 3/6. Suppose 6*j - n - 89 = 0. What is the remainder when 63 is divided by j?
12
Suppose -t - t + 558 = -5*o, 5*t - 2*o - 1416 = 0. What is the remainder when t is divided by 67?
16
Suppose 252 = -10*g + 3462. Calculate the remainder when g is divided by 12.
9
Suppose 5*t + 1034 = 4*b, -356 = -b + 5*t - 90. What is the remainder when b is divided by 26?
22
Suppose 7*w - 4*w - 9 = 0, -a + w + 15 = 0. Suppose -3*r + 5*j = -191, -3*j = -4*r + 208 + 54. What is the remainder when r is divided by a?
13
Let z(d) = d**3 + 14*d**2 + 19*d - 18. Calculate the remainder when z(-9) is divided by 14.
6
Suppose -4*i + 13 - 1 = 0, -5*i + 9 = -2*j. Suppose -j*c - 8 = -5*u - 54, -6 = -3*c - 3*u. Calculate the remainder when 26 is divided by c.
5
Let j = -55 - -116. What is the remainder when j is divided by 21?
19
Suppose -356*g + 353*g = 2*p - 21, -p = -4*g + 39. Suppose 0 = 4*n - 4*i - 128, 2*i - 10 - 25 = -n. Calculate the remainder when n is divided by g.
6
Let v = -478 + 707. What is the remainder when v is divided by 10?
9
Let x(l) = -2*l**3 + 2*l**2 + 5*l + 3. Let b be x(-1). Suppose b*p + 7 = 51. Calculate the remainder when 109 is divided by p.
21
Let l = 1522 - 1348. What is the remainder when l is divided by 49?
27
Let y be (-467)/(-3) + 1/3. Suppose -34*v + 30*v + y = 0. What is the remainder when v is divided by 10?
9
Let i(k) = k**2 - 11*k + 4. Let j be i(11). Suppose j*c - 24 = c. Suppose -2*z - 22 = -2*a, 0*a - a = 2*z - c. What is the remainder when a is divided by 4?
2
Let g(a) = a**3 + 11*a**2 - 28*a - 15. Suppose 0 = -4*w + 12, -5*q - 2*w + 78 = -3*q. What is the remainder when g(-12) is divided by q?
33
Let m(a) = a**3 - 5*a**2 - 9*a + 3. Let y be m(7). Suppose 53 = -3*n + 4*n. Let u = n - y. What is the remainder when u is divided by 6?
3
Suppose -20*g = -25*g + 5. Let a = 0 + 5. Suppose -a*b = -49 - g. Calculate the remainder when 39 is divided by b.
9
Suppose 4*y = 2*k - 210, -5*k - 4*y = -6*y - 509. Calculate the remainder when k is divided by 23.
9
Let z = 4 - 2. Let t be 0/(-4 + z - 0). Suppose -34 = -2*l - t*l. What is the remainder when 50 is divided by l?
16
Let z = 30 - 14. Let w = -24 + 28. Calculate the remainder when z is divided by w.
0
Suppose 225 = 5*y + 15. Calculate the remainder when y is divided by 5.
2
Let h(a) = -a + 26. Suppose 0 - 5 = -q, 0 = 2*w + 4*q - 54. What is the remainder when 22 is divided by h(w)?
4
Let h = -709 + 716. Calculate the remainder when 11 is divided by h.
4
Let o be 3/(-4) - 348/(-16). Let t be (-8)/(-6)*105/10*-1. Let c = t + o. What is the remainder when 33 is divided by c?
5
Let f be ((-15)/(-9))/(13/39). Suppose f*c + g - 3 - 51 = 0, -4*g = c - 26. Calculate the remainder when 38 is divided by c.
8
Let r be 314/14 - ((-31)/(-7) + -4). Let y = -8 + r. What is the remainder when 39 is divided by y?
11
Let h(o) = 4*o - 33. What is the remainder when h(14) is divided by 41 + -35 + 0/(0 + 2)?
5
Suppose -l + 0*l + 39 = 0. Let t(p) = 17*p**2 - 5*p - 1. What is the remainder when t(-2) is divided by l?
38
Let a(o) = 8*o + 19. Calculate the remainder when 2358 is divided by a(5).
57
Suppose 2*v - 43 = -4*s + 51, -s = 5*v - 280. Calculate the remainder when v is divided by 30.
27
Suppose 5*g = p + 76, -p - 4*p = 5. Calculate the remainder when 51 is divided by g.
6
Let w = -29 - -114. Calculate the remainder when 508 is divided by w.
83
Suppose -c = 2*d - 47, -108*c = -5*d - 111*c + 115. Let o = -8 + 53. Calculate the remainder when o is divided by d.
19
Suppose 260 = 100*f - 80*f. What is the remainder when 921 is divided by f?
11
Let u(d) = 32*d - 133. What is the remainder when u(7) is divided by 24?
19
Suppose 5*z = -i + 10, -z - 3 = 5*i - 29. Let p be 0 + 0 + i - 2. Suppose -3*q - p*b = -2*b - 19, 0 = b - 4. What is the remainder when 14 is divided by q?
4
Let n = 58 + -58. Let b = 23 - n. What is the remainder when 135 is divided by b?
20
Suppose 6*b + 2*d - 48 = b, b + 5*d - 28 = 0. What is the remainder when 21 is divided by b?
5
What is the remainder when 258 is divided by (13 - 17) + 4*-3*-6?
54
Suppose 4*a - 10*a = 0. Suppose -181 = -4*n + 2*m - 35, 0 = -n + 2*m + 29. Calculate the remainder when n is divided by a + 3 + 1 + 16.
19
Suppose -4*r = 2*x - 918, 0*x - 2370 = -5*x + 5*r. Calculate the remainder when x is divided by 233.
3
Suppose -75*c - l + 443 = -72*c, -c + 2*l = -136. What is the remainder when c is divided by 15?
11
Suppose 3*t + 4*j = -j + 26, 2*t - 12 = -2*j. Let b be 25*3*(-1 + -16