b + 1074 = 0, -2153 = -4*q - b. What is the remainder when q is divided by 3?
1
Let o(u) = -u**3 - 6*u**2 + 3*u + 3. What is the remainder when o(-7) is divided by (-12)/78 + -85*(-77)/715?
4
Suppose -5*h = 18*y - 21*y + 960, y - 310 = 5*h. What is the remainder when y is divided by 97?
34
Let q = -42 - -48. Let l = 21 - 19. Calculate the remainder when 35 is divided by 2*l/q*6.
3
Suppose t = -2*t + 4*g + 245, -t + 50 = 5*g. Calculate the remainder when t is divided by -51*6/(-54)*(-26 + 29).
7
Let l(k) = k**3 + 63*k**2 + 231*k - 287. Calculate the remainder when 227 is divided by l(-59).
3
Suppose 0 = 2*q - 10 + 4. Let z(w) = w**3 - 11*w**2 - 13*w + 26. Let t be (20/(-25))/((-2)/30). What is the remainder when z(t) is divided by q?
2
Let p(k) be the first derivative of 47*k**3/6 - 4*k - 15. Let w(r) be the first derivative of p(r). Calculate the remainder when w(2) is divided by 32.
30
Let j(p) = 3*p**3 + 94*p**2 + 105*p + 41. Calculate the remainder when j(-30) is divided by 84.
71
Let c = 0 + 28. Suppose -2*d = -108 - c. What is the remainder when d is divided by 12?
8
Let v(s) = s**3 - s**2 + s - 6. Let p be v(0). Let q = p - -9. Suppose 0 = -q*y - 4*n + 107, n + 17 = y - 21. What is the remainder when y is divided by 20?
17
Let t be ((-13)/(-52))/(2/24) - -2. Let d(m) = -m**3 + 7*m**2 - 2*m + 11. What is the remainder when d(6) is divided by t/(((-75)/18)/(-5))?
5
Let s(i) = 3*i**2 - 10 + 4 + i**3 + 2 - 4*i. Suppose 59 = 2*m - 33. Calculate the remainder when m is divided by s(-3).
6
Suppose 45*u - 522 = 18. Let p(b) = 30*b + 117. What is the remainder when p(u) is divided by 80?
77
Suppose 62*b - m - 3132 = 58*b, -5*m = 3*b - 2349. What is the remainder when 800 is divided by b?
17
Let s be 40/15 - (-5)/15. Suppose 5*y + s*f = 438, -f - 3*f + 265 = 3*y. Calculate the remainder when y is divided by 33.
21
Calculate the remainder when 1252 is divided by 224800/725 + (-4)/58.
12
Suppose -2*v = -3*f - 49, 22 = -3*v + f + 78. Let l = 20 + v. Calculate the remainder when 102 is divided by l.
28
Suppose -4*x = -32*x - 22*x + 300. What is the remainder when 6256 is divided by x?
4
Suppose -5*l + 2*a = -655, -5*l - 28*a + 24*a = -625. What is the remainder when 640 is divided by l?
124
Let t be 0*(-4)/(-24)*-3. Let b be (t - 2)/(12/(-24)). Suppose 0*d - b*d + 56 = 0. What is the remainder when 80 is divided by d?
10
Let q(u) be the third derivative of u**6/40 - 17*u**5/60 + 2*u**4/3 - 4*u**3 - 142*u**2. Calculate the remainder when (-2)/(3 + -1) - -13 is divided by q(5).
0
Let o(w) = w + 7. Let n be o(-3). Let x be 0 + n + 0/1. Suppose 2*k - 4*b - 78 = 0, x*b - 53 = -k - b. What is the remainder when k is divided by 9?
7
Let i = -130 - -361. What is the remainder when i is divided by 8 - ((-3)/(-21) - 1152/224)?
10
Suppose 8 = -8*f - 688. Calculate the remainder when 27/6*(-1450)/f is divided by 23.
6
Calculate the remainder when (468/14)/((-2052)/(-672) - 3) is divided by 25.
24
Let k = 3 + 24. Suppose 3*i + 5*a = 245, -i + 82 - k = -5*a. Calculate the remainder when 220 is divided by i.
70
Suppose 3*y + 28*q - 473 = 21*q, 5*y - 2*q - 720 = 0. What is the remainder when y is divided by 92?
54
What is the remainder when 16191 is divided by (15 - -10) + 2/(-2) + -8?
15
Let d be (-32)/208 - (-228)/(-39). Calculate the remainder when ((-2)/(-4))/(1/d) - -132 is divided by 22.
19
Calculate the remainder when 320 is divided by (-18)/(-2) - (-12 + -78).
23
Let t be ((-2)/4)/((-4)/(-88)). Let v = t - -16. Suppose v*n - 44 - 51 = 0. Calculate the remainder when n is divided by 11.
8
Let k = -252 + 356. Suppose -a = 2 + 2, a = -4*o + k. Suppose 9*y + 2*u = 7*y + 204, -3*y + 5*u + 322 = 0. What is the remainder when y is divided by o?
23
Let u(w) = 58*w + 63. What is the remainder when 64 is divided by u(-1)?
4
Let s(a) = -103*a - 5069. Calculate the remainder when s(-70) is divided by 28.
13
Let y = 22188 + -22069. Calculate the remainder when 3559 is divided by y.
108
Calculate the remainder when 279378/495 + -2*3/15 is divided by 27.
24
Let c(z) = -36*z - 7. Let n(u) = -18*u - 3. Let l(r) = -4*c(r) + 10*n(r). Let t = -32698 - -32735. Calculate the remainder when l(-4) is divided by t.
31
Let m(y) = y**2 + 9*y - 865. What is the remainder when m(57) is divided by 42?
41
Suppose 3*b + 5*n = 606 + 207, -5*b + 1355 = n. What is the remainder when 2969 is divided by b?
259
Let j(w) = 2*w**3 - 114*w**2 + 430*w + 5. What is the remainder when 66 is divided by j(4)?
8
Let u(q) = 2*q**2 + 223*q - 4732. Let t(a) = a**2 + 7*a - 9. Calculate the remainder when u(-130) is divided by t(-10).
15
Suppose -3*k = -7*k - 5*i + 72, 5*i - 54 = -3*k. Let w(b) = 3*b + 41. Let h(o) = -7*o - 17. What is the remainder when w(k) is divided by h(-7)?
31
Suppose 0 = -25*w + 10*w + 1470. Let q(a) = 3*a + 32. What is the remainder when w is divided by q(-5)?
13
Suppose -29*h - 66*h + 7748 = -12202. What is the remainder when 14698 is divided by h?
208
What is the remainder when 7 + -6 + 5 + (1819 - -1) is divided by 63?
62
Let y = -27 + 649. Let a = y - 444. What is the remainder when a is divided by 18?
16
Suppose -3*i + 5*k = 5, -k + 32 - 3 = 5*i. Suppose 58 = i*o - 57. What is the remainder when o is divided by 54/10*(220/33 - 5)?
5
Suppose -2*d + 65 = 189. Let t(p) = 3*p**2 + 13. Let r be t(-5). Let i = d + r. Calculate the remainder when 103 is divided by i.
25
Let o = 104 + -96. What is the remainder when (-1 + 9)/o - 64/(-2) is divided by 17?
16
Let x(t) = 45*t**3. Let g be (268/3)/((-2)/(-6)). Let a = -245 + g. Calculate the remainder when x(1) is divided by a.
22
Let o = -3536 + 4023. Calculate the remainder when o is divided by 10.
7
Suppose v + w = 14, 4387*w + 12 = 4385*w. Suppose 3*p = 81 + 24. Suppose -3*s - p = -8*s. What is the remainder when v is divided by s?
6
Let z(s) = -2*s**3 - 9*s**2 + 299*s - 38. What is the remainder when z(-15) is divided by (-1)/(70/(-34) - -2)?
15
Suppose -8*a + 25095 = 7*a. Calculate the remainder when a/6 + 34/204 is divided by 47.
44
Suppose 3*n - 3*y = -87, -3*n - 46 = 3*y + 17. Let o be 5/n - (-2 + (-4322)/10). Suppose -11 = -5*z + o. Calculate the remainder when z is divided by 45.
44
Suppose -32 = -2*w + p, -193*p - 10 = -198*p. What is the remainder when 110 is divided by w?
8
Let p be (5/(10/318))/((-15)/20). Let k = -201 - p. Let n = 1 - -6. What is the remainder when k is divided by n?
4
Let w be 68/8 + (-9)/(-6). What is the remainder when 137 is divided by (16 - w) + -3 + 7?
7
Suppose -g + 248 + 553 = -5*l, 0 = -5*g + 5*l + 3985. What is the remainder when g is divided by 42?
40
Suppose 0 = -k - 0*m + 5*m - 45, k + 4*m + 27 = 0. Let n(o) = -13*o - 309. What is the remainder when n(k) is divided by 37?
35
Let v(j) be the third derivative of -43/6*j**3 + 0 + 15*j**2 + 5/24*j**4 + 0*j. What is the remainder when 22 is divided by v(10)?
1
Suppose 2*a - 175 = 5*v - 600, -v + 85 = -a. Calculate the remainder when v is divided by 39.
7
Suppose -3*t + 637 = -2*i, -5*t + i = -560 - 511. What is the remainder when t is divided by 49?
19
Let w be 3/9*206 - (-5)/15. Calculate the remainder when (-2)/4*(w + -383) is divided by 79.
78
Let s = -14 - -72. Let t = 4359 + -4344. Calculate the remainder when s is divided by t.
13
Let f = 2576 + -2560. Calculate the remainder when 2840 is divided by f.
8
Let t(m) = -m**3 - 19*m**2 + 87*m + 1765. What is the remainder when 5145 is divided by t(-19)?
105
Suppose -2358 + 721 = -3*u + 5*x, 1621 = 3*u - x. Suppose -u + 134 = -15*p. Calculate the remainder when 130 is divided by p.
22
Let j(o) = o**2 - 9*o - 43. Let u(x) = -x**3 + 15*x**2 + x - 22. Let k be u(15). What is the remainder when j(k) is divided by 8?
5
Let c(v) = -2*v**2 + 45*v - 65. Let s be c(21). Let d(n) = 4*n**2 + 17*n + 32. What is the remainder when d(s) is divided by 6?
2
Suppose 4*i + 11424 = 55*i. Calculate the remainder when 461 is divided by i.
13
Suppose -22*j + 666 = -16*j. Suppose 20*c - j = -11. Calculate the remainder when 34 is divided by c.
4
Suppose 3*k + 9 + 3 = -5*x, -3*k = -3. What is the remainder when (-218)/x - (-1)/3 is divided by 19?
16
Suppose 3*c + 12 = 4*m - 21, 4*m - 5*c = 39. Suppose 59 + 31 = m*k. What is the remainder when (-208)/(-5) + (-2 - (-21)/k) is divided by 11?
8
Let p = -6540 + 6644. Calculat