d by m.
4
Suppose 0*b - 7*b + 462 = 0. Suppose -2*c - 169 - 53 = -3*x, 0 = x + 2*c - b. What is the remainder when x is divided by 19?
15
Let p(g) = g**3 - g**2 - g + 3. Let d be p(0). Suppose 2*b - d = b. Let n = b - -2. What is the remainder when 19 is divided by n?
4
Let h(x) = -2*x**3 + 4*x**2 - 2*x - 1. Let s be h(2). Let v = 131 + s. What is the remainder when v is divided by 32?
30
Let d = 28 - -11. Let z(v) = -8*v - 6. Suppose -3*c = 5*c + 16. Calculate the remainder when d is divided by z(c).
9
Let o be (-39)/(-12) + (-4)/16. Suppose -4*n - 2*s = 2*s - 84, -3*n + 43 = -s. What is the remainder when (-28)/n*(-72)/o is divided by 22?
20
Let p(l) = 66*l + 88. What is the remainder when p(-1) is divided by 7 + (-2)/4*-2?
6
Let q be 3/2*192/(-18). What is the remainder when (-7 - -75)*6*(-2)/q is divided by 29?
22
Let p = -73 + 76. What is the remainder when 39 - (2 - (p - (4 - 2))) is divided by 12?
2
Let k(u) = 7*u + 223. Calculate the remainder when k(-28) is divided by 6.
3
Suppose 7 = 4*m - 5. Suppose x + m = 13. Suppose -2*g + 5*s + 81 = 0, -2*s + 42 = g + 6. What is the remainder when g is divided by x?
8
Let x(u) be the second derivative of u**4/6 + u**3/3 + u**2/2 - 2*u. Let s = -3960 - -3967. Calculate the remainder when x(-3) is divided by s.
6
Suppose 7*k = 2*k + 145. Suppose 4*p = 4*b - 20, -3 = -p - 2*p. Calculate the remainder when k is divided by b.
5
Let v(i) = i**3 + 14*i**2 - i + 17. Let a be v(-14). Let h = -8 + a. Calculate the remainder when h is divided by 13.
10
Let k(f) = -7*f - 1. Let d be k(-1). Suppose -d*l + l + 40 = 0. Let m = 15 - l. What is the remainder when 19 is divided by m?
5
Let u(n) = 3*n + 1. Suppose -10*p + 7*p = 21. Let r = p + 44. Calculate the remainder when r is divided by u(4).
11
What is the remainder when 197 is divided by 8 - (-630)/(-77) - (-2870)/55?
41
Let z = 1348 + -1128. Calculate the remainder when z is divided by 17.
16
Suppose -5*k = -20, 4*b + 3*k - 96 = 6*b. Let w be 2 + 2 + -4 + 63. Let g = b + w. Calculate the remainder when g is divided by 8.
5
Let b(o) = 7*o**3 - 7*o**2 + 8*o - 8. What is the remainder when b(3) is divided by 36?
34
Let r(z) = -z**3 - 4*z**2 + 6*z + 6. Let m be r(-5). Suppose m + 1 = y. Suppose 2 + 8 = y*s. Calculate the remainder when 8 is divided by s.
3
Let o(s) = 3*s**3 + 3*s**2 + s - 6. Let w be o(-3). Let n = -56 - w. Calculate the remainder when 24 is divided by n.
3
Suppose 0 = -4*f - p + 2567, -5*f + 2*p = -2*f - 1928. Calculate the remainder when f is divided by 15.
12
Let i = 438 - 424. What is the remainder when 69 is divided by i?
13
Suppose -4*p + 2*m + 1338 = 0, -3*p + 5*m + 11 + 1003 = 0. What is the remainder when p is divided by 58?
43
Suppose 3*q - 25 = -4*c, -1 = -4*c + 6*q - q. Suppose i + 0*i - c*o - 28 = 0, 5*i - 2*o - 68 = 0. What is the remainder when 33 is divided by i?
9
Suppose -3*l = 3*l - 60. Suppose -5*t + 117 = g, -4*t + 117 = g - t. Let v = g + -79. Calculate the remainder when v is divided by l.
8
Let h(y) be the second derivative of -5/12*y**4 + 0 - 5/6*y**3 - 1/10*y**5 - 8*y - 7/2*y**2. What is the remainder when 83 is divided by h(-3)?
15
Let w be (-2)/4 + 10/20. Suppose 24*j - 20*j - 68 = w. Let l = 62 + -13. Calculate the remainder when l is divided by j.
15
Suppose -5*l = -10*l + 105. Let o be 5 + 60*70/15. Suppose -4*a - 3*v + o = -50, -2*a + 163 = -3*v. Calculate the remainder when a is divided by l.
20
Let l be 4/(-4) + -32*(-1)/(-1). Let i = l - -36. Calculate the remainder when 21 is divided by i.
0
Suppose 0 = -3*l - 2*l + 80. Let i = 1459 - 1417. Calculate the remainder when i is divided by l.
10
Let p(d) = -11*d - 285. Calculate the remainder when p(-32) is divided by 14.
11
Suppose 4*j - 16 = 16. Let x be 2 + (j/4 - 2). Suppose x*a + 2*a = 80. What is the remainder when a is divided by 6?
2
Let d = -491 + 681. Calculate the remainder when d is divided by 15.
10
Let n(d) be the second derivative of -d**4/12 + 4*d**3/3 - 5*d**2/2 - 4*d. Calculate the remainder when 16 is divided by n(6).
2
Suppose -2*d = 3*j - 371, -65 + 401 = 2*d - 4*j. Calculate the remainder when d is divided by 31.
23
Suppose -8*k + 3*k + 95 = 0. Let p be (-215)/(-7) - (-4)/14. Suppose 0 = 2*h - 143 + p. What is the remainder when h is divided by k?
18
Suppose -c - 2 = -6. Suppose -c*k + 32 = 4*h, 3*h + 0*k + 5*k = 26. Let g = 10 - -9. What is the remainder when g is divided by h?
5
Suppose 0 = y + 4, 1 = -3*g - 4*y + 6. Let o be ((-7)/14)/((-2)/16). Suppose -b = -o - 22. Calculate the remainder when b is divided by g.
5
What is the remainder when 14/119 + (-7638)/(-102) is divided by 27?
21
Let c = -412 + 457. Suppose 3*s + 4*m + 9 - 73 = 0, -8 = -s + 2*m. Calculate the remainder when c is divided by s.
13
Suppose 0 = x - 5*q - 17, q = -3*x + 91 - 24. What is the remainder when 175 is divided by x?
21
Suppose 0 = 5*f - 265 - 690. Calculate the remainder when f is divided by 24.
23
Suppose -38 = -o - 2*v, -3*v - 19 = -7. Let c(f) = 3*f - 34. Let t be c(16). Suppose 0 = 20*m - t*m - 96. What is the remainder when o is divided by m?
14
Let n = 32 + -24. Calculate the remainder when 63 is divided by n.
7
Let q = 437 + -47. What is the remainder when q is divided by 14?
12
Let j be ((-16)/(-20))/(-2)*-35. Let f be 1 + 1 - j/7. Suppose -o - 1 = f, 5*a - 53 - 29 = 2*o. Calculate the remainder when 29 is divided by a.
13
Let w(s) = -s**3 - 5*s**2 + 8*s + 15. Let l(i) = 2*i**2 + 32*i - 6. Let u be l(-16). Let z = 1 - -2. What is the remainder when z is divided by w(u)?
0
Suppose 3*f - 29 = -p, -4*p + 2 + 79 = 5*f. Let j = 27 - 1. What is the remainder when j is divided by p?
12
Suppose 0 = 23*s + 14*s - 407. What is the remainder when 437 is divided by s?
8
Let n(d) = -d**2 + 4*d + 1. Let z be n(3). Let w = 61 - 103. Let y = z - w. What is the remainder when y is divided by 16?
14
Let k(s) = 2*s**3 - 10*s**2 + 32*s - 245. Calculate the remainder when k(7) is divided by 918/21 - (-4)/14.
43
What is the remainder when 66 is divided by (-2)/(4/(-38))*226/113?
28
Suppose -50 = -5*x - 2*y, 0 = x + y - 29 + 16. Let b = -54 + 77. What is the remainder when b is divided by x?
7
Let g = 445 + -278. What is the remainder when g is divided by 9?
5
Suppose -135 = -13*k + 216. Calculate the remainder when k is divided by 13.
1
Suppose 6 - 13 = -m. Calculate the remainder when (-1141)/(-21) - (4 + (-6)/((-72)/(-44))) is divided by m.
5
Let t = 1839 - 1252. What is the remainder when t is divided by 49?
48
Let u = 69 - 68. Suppose 3*s = 2*a, -5*a = 4*s - 6 - 17. Calculate the remainder when a is divided by u.
0
Let k(b) = b**3 + 6*b**2 + 4*b + 5. Let o be k(-5). Let f(r) = -r**2 + 4*r + 72. What is the remainder when 238 is divided by f(o)?
10
Calculate the remainder when -255*((-400)/375 - 6/10) is divided by 87.
77
Let z = -13 - -35. Suppose 7*a = 2*a + 25, -q = 3*a - z. Calculate the remainder when 25 is divided by q.
4
Let d = -20 - -29. Let k be (-16)/(-24) + 4/3. Calculate the remainder when d is divided by -1 + k + 2 + 0.
0
Suppose 4 = 3*h - 50. Let k(a) = 2*a**2 + 6*a + 31. What is the remainder when k(-6) is divided by h?
13
Suppose 2*z = -z + 252. Let a = 218 - z. Suppose r + r + a = 2*n, 3*n + 4*r = 173. Calculate the remainder when n is divided by 16.
15
Let x be (2680/32)/((-3)/(-12)). Suppose 232 + x = 5*m - 4*d, d = -4*m + 462. Calculate the remainder when m is divided by 29.
28
Suppose 173*h = 250*h - 539. Let f(l) = 12*l. Calculate the remainder when f(2) is divided by h.
3
Let b be (-4)/(12/99) - 0. Let r = b - -46. Calculate the remainder when r is divided by 5.
3
Suppose -7 = k - 9. Suppose -57 = 3*m - k*w, -2*m - 5*w = -5*m - 66. What is the remainder when (-22)/(-187) + (-1120)/m is divided by 17?
15
Suppose 0 = 2*d + 36*k - 34*k - 28, -11 = -4*d + 5*k. Suppose 34 - 2 = 4*p. Calculate the remainder when d is divided by p.
1
Calculate the remainder when (-7*7/(-98))/(2/504) is divided by 19.
12
Suppose 2*s + 7 = 25. Calculate the remainder when 23 is divided by s.
5
Suppose -114 = -5*u + 196. Calculate the remainder when 123 is divided by u.
61
Let u be (-5)/((-25)/24) - 2/(-10). Suppose 0 = u*q - 15, -4*n - 3*q + 6 = -5*q. What is the remainder when 25 is divided by n?
1
Suppose 2*a = -4*w + 196, -14*w + 19*w = -a + 239. What is the remain