. Suppose 2*a = -o + 50. What is the remainder when 20 is divided by a?
8
Let x = -26 - -60. Suppose -4*s + 53 = 3*h, -4*s = 2*h - s - x. Let d(f) = -f**3 - 5*f - 12. What is the remainder when h is divided by d(-2)?
5
Let i(o) be the second derivative of -19*o**3/6 - 79*o**2/2 + 31*o + 2. What is the remainder when i(-5) is divided by 10?
6
Let v = 14414 + -14354. Let k = 34 + -24. What is the remainder when v is divided by k?
0
Let u(x) = 16*x - 11. Let w(z) = z. Let g(r) = -u(r) - 5*w(r). Let y(v) = v + 7. Let f be y(-11). Calculate the remainder when g(f) is divided by 33.
29
Let a(k) = 92*k**2 - 43*k - 44. Suppose -5*i - 169 = -3*n - 0*n, 4*i - 124 = -3*n. What is the remainder when a(-1) is divided by n?
43
Let h(i) be the third derivative of -i**5/60 + 17*i**4/24 + 13*i**3/6 + 79*i**2. What is the remainder when h(6) is divided by 31?
17
Calculate the remainder when 559 is divided by (-3 - (-233)/7)/(4/14).
29
Let y = -246 - -393. Let n = y + -48. What is the remainder when n is divided by (-781)/(-22) - (-6)/(-4)?
31
Let c(o) = o**2 - 4*o + 3. Suppose 5*q - 4*k = 20, 3*k = -0*q + 3*q - 9. Let z(i) = -2*i**2 - 26*i - 12. What is the remainder when c(q) is divided by z(-12)?
11
Suppose -31095 = -517*w - 1109. Suppose 3*z + 6 = -3*g - 3, 4*z + 9 = -3*g. Suppose 3*o - 115 + 22 = z. What is the remainder when w is divided by o?
27
Let u = 177 - 147. Suppose n = -w + 19, 3*n + u - 83 = -2*w. Suppose -2*m + 5*m + 5*k + 19 = 0, 2*m + k = -1. What is the remainder when n is divided by m?
1
Let z(s) = -s + 31. What is the remainder when -2*(-64 + -8 + -4) is divided by z(0)?
28
Suppose 0 = -7*g - 6 + 208 + 393. Calculate the remainder when 304 is divided by g.
49
Calculate the remainder when 123 is divided by (12/18)/((-16)/(-1512)).
60
Let i = -6871 + 7017. Calculate the remainder when 4084 is divided by i.
142
Let y = -8865 + 10379. What is the remainder when y is divided by 430?
224
Calculate the remainder when 227 is divided by 272/17 + -12 + 7.
7
Let y = -20 - -110. Let l = y + -49. Let z = 111 - l. What is the remainder when z is divided by 18?
16
Let z(q) be the third derivative of q**4/8 + q**3 - 2*q**2. Let o be z(5). Suppose 20*v = 19*v + o. Calculate the remainder when 81 is divided by v.
18
Suppose 3*a - 132 = -3*n, -2*a + 2*n = -685 + 601. Let c = 34 + -19. Calculate the remainder when a is divided by c.
13
Let r = -43 - -86. Let n be 5*(-1 - -3 - 12/(-20)). Let m = 25 - n. Calculate the remainder when r is divided by m.
7
Let p = -22 + 34. Suppose p = 3*b - 3. Suppose -50*n = -72*n + 264. What is the remainder when n is divided by b?
2
Suppose -18*u = -13*u - 455. Let v(i) = -91*i + 672. Calculate the remainder when u is divided by v(7).
21
Suppose -5*c + 84 = 2*m, -3*c + 168 = 4*m + 2*c. Suppose 0 = 13*w - 19*w + m. What is the remainder when 13 is divided by (w*(4 + -5))/(-1)?
6
Let f = 172 + -169. Calculate the remainder when 175 is divided by (-441)/(-9) + (0 - f).
37
Let r(b) = 2*b**2 - 5*b - 2. Suppose -16 = -4*x - 0*x. Calculate the remainder when 43 + 2/(8/12) is divided by r(x).
6
Suppose -16*v + 91*v - 16170 = 9*v. Calculate the remainder when 785 is divided by v.
50
Suppose 3*l = 6*l + 12. Let i(m) be the first derivative of m**3/3 + m**2 + m + 3. Calculate the remainder when 25 is divided by i(l).
7
Let i(u) be the first derivative of -4*u**3/3 + 5*u**2/2 + 3*u - 3. Let b be i(-3). Calculate the remainder when 57 is divided by (-4)/(b/15)*24.
27
Let s(p) = 141*p**2 + 4*p + 2. Let t(q) = 8*q - 23. What is the remainder when s(-1) is divided by t(8)?
16
Suppose 4*h - 2*v + 120 = 0, 5*v - 50 + 200 = -5*h. Suppose -t + 40 = -5*t. What is the remainder when 4 is divided by (-18)/h + (-34)/t?
0
What is the remainder when 1235 is divided by (-589666)/(-11319) + (-2)/21?
39
Suppose 0 = 4*z - 3*r - 330 - 135, 4*r + 126 = z. What is the remainder when 301 is divided by z?
73
Suppose -36*o + 24210 = -6*o. Let f = o - 772. Suppose 2*u + 19 = 149. What is the remainder when u is divided by f?
30
Let f be -99 - (1 - (-6)/(-1)). Calculate the remainder when (-5)/((-50)/(-35))*f is divided by 66.
65
Let d = -26 + 24. Let n = -1295 - -1313. What is the remainder when n is divided by d/(-12) - (-1001)/78?
5
Calculate the remainder when (296/32 - 9)*1328 is divided by 64.
12
What is the remainder when 4/5 - 5/(50/(-2392)) is divided by 140?
100
Let a = 1845 - 1820. Let b(z) = -3*z + 3. Let m(j) = 4*j - 4. Let r(l) = -3*b(l) - 2*m(l). What is the remainder when a is divided by r(8)?
4
Let v be -2 - (-2 + -3) - 0. Let s(a) = 14*a - 3. Let p = 12900 - 12879. Calculate the remainder when s(v) is divided by p.
18
Calculate the remainder when 1104 is divided by (-5434)/(-55) + 3 - (-8)/(-10).
94
Suppose 0 = 13*i + 8805 - 12302. What is the remainder when 820 is divided by i?
13
Suppose -1978 = -9*c - 538. Let b = c - 150. Calculate the remainder when 76 - (-2 - (1 + -2)) is divided by b.
7
Suppose -4*d = -h + 3111, 2*h - 5016 = -d + 1125. What is the remainder when 3083 is divided by h?
8
Let g = 285 + -161. Suppose 5*l = 3*l + g. Let c = -4145 - -4162. Calculate the remainder when l is divided by c.
11
Let h(g) = 2*g**3 + 62*g**2 - 66*g + 125. What is the remainder when 303 is divided by h(-32)?
114
Let f be 108/6*(-222)/9. Let k = f - -454. Calculate the remainder when 22 is divided by k.
2
Let y(o) = -17*o**2 - 661*o - 30. Calculate the remainder when y(-35) is divided by 25.
5
Let b = 1 + 29. Suppose -r = -4*d + 30, 0*d - 3*d + b = 3*r. What is the remainder when 385/11*((-24)/(-10) + -2) is divided by d?
6
Let d = -182 + 198. What is the remainder when (8/d)/(2/636) is divided by 18?
15
Suppose 9*m - 578 + 335 = 0. What is the remainder when 72 is divided by m?
18
Let n be 31 - (2 + (0 - 6) - 0). Let z be 1064/n + ((-12)/5 - -2). Calculate the remainder when ((-12)/15)/((-3)/z) is divided by 3.
2
Suppose 2*d - 6 = -3*v, 7*d = 8*d - 2*v - 10. Suppose 12*j - 288 = -d*j. Calculate the remainder when (-6)/15 - 604/(-10) is divided by j.
12
Suppose 0 = -43*g - 6218 + 20236. What is the remainder when g is divided by 21?
11
Let t = 37 - 33. Let d(c) = t*c + 3 - 2*c - 18 + 2*c. What is the remainder when d(10) is divided by 9?
7
Let y = -28 + 28. Suppose w - 8 + 3 = y. Suppose 4*q = -3*j + w*q + 51, j + 3*q - 27 = 0. Calculate the remainder when 84 is divided by j.
12
Let z(q) = -8*q**2 + 672*q + 719. Calculate the remainder when z(84) is divided by 160.
79
Let y = 1268 - 1250. What is the remainder when y is divided by 11?
7
Let k(q) = -q**2 + q + 19. Let x be -2 + -137 + (-2 - -4) + -1. Let g = -82 - x. Calculate the remainder when g is divided by k(0).
18
Let x(d) be the second derivative of -d**5/20 - d**4/2 - 3*d**3/2 + d**2/2 + 3*d - 13. What is the remainder when x(-4) is divided by 3?
2
Let d = 18 + -36. Let y be (-54)/d + (0 - 2). Suppose 2*l - 4*v = -v, -3*l = -4*v - y. What is the remainder when 9 is divided by l?
0
Let y = 12115 - 11844. Calculate the remainder when y is divided by 152.
119
What is the remainder when (-22 + 3 + -697)/(-2) is divided by 173?
12
Let w(x) = -16*x + 24. Let i be w(-24). Let p = i + -370. What is the remainder when p is divided by 9?
2
Suppose 6*b - 11*b + 28003 = 2*z, 4 = -4*z. Calculate the remainder when b is divided by 12.
9
Let s(m) = 4*m**3 - 3*m + 3. Let u be s(1). Suppose 0 = 4*c + 20, -3*c + 186 = u*i + 45. What is the remainder when 311 is divided by i?
38
Let p(d) = 5*d**3 - 104*d**2 + 15*d - 749. Let x = 115 - 67. What is the remainder when x is divided by p(21)?
6
What is the remainder when 9035994/2552*4*(-2)/(-3) is divided by 141?
136
Let g(l) = -l**2 - l - 10. Let b be g(5). Let p = -15 - b. Let m = -271 - -418. What is the remainder when m is divided by p?
22
Suppose -130*l - 891 + 2581 = 0. Calculate the remainder when 1805 is divided by l.
11
Suppose -43*y + 51*y - 32 = 0. What is the remainder when ((-656)/(-28))/(5/70*y) is divided by 7?
5
Suppose 56 = 3*q - q. Suppose 23*y - q = 21*y. Calculate the remainder when 81 is divided by y.
11
Let i = 272 - 267. Suppose i*l + 5*z = 230, -2*l + 4*z + 110 = l. What is the remainder when 209 is divided by l?
41
Let o(b) = -1299*b - 1690. What is the remainder when o(-6) is divided by 86?
84
Suppose -43*r = -39*r - 2704. Let d be r/6 - (-14