hat is the remainder when d is divided by 20?
15
Suppose -8 = 5*p - 4*z, -6*p - 4*z + 8 = -4*p. Suppose p = 4*o - o - 429. Calculate the remainder when o is divided by 21.
17
Suppose -2*b + 201 = -5*n, -3*n + 2*n + 69 = b. Let d(g) = g**2 + 2*g - 8. Let z = 7 - 13. Calculate the remainder when b is divided by d(z).
14
Let l be (-30)/(-4)*28/35. Suppose 0 = -5*j + 14 + l. Calculate the remainder when (-189)/(-18) + 1/2 is divided by j.
3
Let o(n) = -2*n**3 + n. Let z be o(-1). Suppose z + 7 = 4*c. What is the remainder when 6 is divided by c?
0
Let c(h) = 161*h - 7060. Let u = 156 - 61. What is the remainder when u is divided by c(44)?
23
Calculate the remainder when 296 is divided by (1976/20)/13 + 9 - 6/10.
8
Suppose -4*w + 3005 = -3*m + 6*m, 3*w - 15 = 0. Calculate the remainder when m is divided by 83.
82
Let d be 431/3 + (-16)/(-12). Suppose -5*j = -m - 279, 0 = -13*j + 10*j - 5*m + d. Calculate the remainder when j is divided by 8.
7
Let b(h) = -15*h - 18. Let t = -91 + 23. Let q = 119 + t. What is the remainder when q is divided by b(-3)?
24
Suppose l = -5*y + 7*y + 100, 0 = -l + 5*y + 82. Calculate the remainder when l is divided by 35.
7
Let j = 10744 - 9922. Calculate the remainder when j is divided by 269.
15
Let v(g) = -g**3 + g**2 + 4*g + 3. Let j be v(-2). Suppose p + 112 = -j*p. What is the remainder when 12 is divided by p/6*(36/6 - 9)?
5
Suppose b = -4*n + 5079, -5*b + b + 3806 = 3*n. Suppose 0 = -3*z + 70 + 287. Calculate the remainder when z is divided by (-6)/8 + n/40.
26
Let a = -5887 - -6505. Calculate the remainder when a is divided by 124.
122
Suppose -4*r = 20*i - 23*i - 39, -7 = -r - 2*i. What is the remainder when r is divided by (-2)/(36/(-58)) + 16/(-72)?
0
Let b(x) = -15*x - 100. What is the remainder when b(-22) is divided by 93?
44
Suppose -r - 275 = -277. Suppose 0 = 2*d - 5*d - r*l + 85, 4*d + 3*l = 114. Calculate the remainder when 79 is divided by d.
25
Let t = 1760 - 1017. Let v = -701 + t. Calculate the remainder when 124 is divided by v.
40
Suppose 0 = -18*c + 11*c + 13*c - 558. What is the remainder when 101 is divided by c?
8
Let i = 211 - -99. Suppose -6*g = 4*g - i. What is the remainder when 76 is divided by g?
14
Let f be -1 + -1 - (0 + -11). Let b = -7 + f. Suppose s - 8 = 3*x, -5*s + 5*x = b*x - 28. Calculate the remainder when 17 is divided by s.
2
Suppose 0 = -i + 4*p + 22, p + 2 = 3*i - 20. Suppose -29*b - 50 = -34*b. Suppose 155 = b*z + 15. What is the remainder when z is divided by i?
2
Suppose -3*s - 398 = -4*o - 1143, -562 = 3*o + s. Let g = -169 - o. What is the remainder when 62 is divided by g?
8
Let o(y) = y**3 - 26*y**2 - 56*y + 317. What is the remainder when 3164 is divided by o(28)?
311
Suppose -18 = -6*b + 30. Let h(n) = 5*n + 1. Calculate the remainder when -65*(210/(-25) + b) is divided by h(1).
2
Calculate the remainder when 577 is divided by (13 - (-1772)/(-136))*-4042 + 6/51.
101
Let h(k) = -k**2 + 13*k + 16. Let g be (-12)/14*(-18 + (5 - 1)). Let a = 7 - -102. Calculate the remainder when a is divided by h(g).
25
Suppose 2*w - 63 = 61. Let q be (-186)/(-18) - 2/6. What is the remainder when w is divided by (-4)/(q/16 - (-48)/(-64))?
30
Let d = -168 + 107. Let i = d - -65. What is the remainder when (309/12)/(-1*(-1)/i) is divided by 15?
13
Let p(b) = b**3 + 9*b**2 + b + 12. Let z be p(-9). Suppose j + 3*j + 238 = -k, -z*k - 114 = 2*j. Let g = j + 73. What is the remainder when g is divided by 9?
4
Let f(b) = -b**2 + 21*b + 82. Suppose 66 + 174 = 10*t. What is the remainder when 48 is divided by f(t)?
8
Suppose -78*k = -1994 - 2686. What is the remainder when 227 is divided by k?
47
Let i(o) = -o**3 - 7*o**2 - 2*o - 10. Let c(t) = t**3 + 11*t**2 + 25*t - 17. What is the remainder when c(-7) is divided by i(-7)?
0
Let l be (-87792)/(-42) - (-2)/(-28)*4. Let u = -1222 + l. What is the remainder when u is divided by 79?
78
What is the remainder when 3668 is divided by (-9 - 2 - -8) + ((-142)/(-1))/2?
64
Suppose 18*x + 56905 = 2221. Calculate the remainder when x/(-56)*4*1 is divided by 55.
52
Calculate the remainder when 699 is divided by 39/26*924/6.
6
Let v(g) = -2*g**2 - 4*g - 14. Let c be v(0). Calculate the remainder when 45 is divided by -5 - (c - -1 - -5).
0
Let y(z) = -z**3 + 11*z**2 - 20*z + 20. Let n be y(9). Suppose -3*d + 60 = n*m + m, -5*d = 4*m - 103. Calculate the remainder when 87 is divided by d.
18
Let l = 901 + -812. Let v = -58 - -81. What is the remainder when l is divided by v?
20
Let h = 79 + -228. Let k = 184 + h. What is the remainder when k is divided by 12?
11
Let v(s) = 474*s + 4154. What is the remainder when v(-8) is divided by 142?
78
Let w = 306890 - 306828. Suppose -3*x + 27 + 30 = 0. Calculate the remainder when w is divided by x.
5
Calculate the remainder when ((5 - 3) + 296)/2 is divided by 115.
34
Let a = -36 + 41. Suppose w = -5*p - 2*w + 238, -3*p + 146 = a*w. Let d = p + -39. What is the remainder when 55 is divided by d?
7
Let d(u) = 14*u**2 + 93*u + 20. What is the remainder when 615 is divided by d(-7)?
10
Let x = -110 + 2. Let p = 128 + x. Calculate the remainder when 68 is divided by p.
8
Suppose 6*z + 948 = 11*z + 2*l, -5*z + 956 = 4*l. Calculate the remainder when z is divided by 172.
16
Let t(b) = 4 + 35*b**2 - 3 - 2*b + 0. What is the remainder when 16 + -25 + 436/4 is divided by t(1)?
32
Suppose 0 = 12*y - 6*y - 54. Let f be 29/(-3) - y/27. What is the remainder when 29 is divided by 32/(-10)*25/f?
5
Let d(r) be the third derivative of -r**4/8 + 9*r**3/2 - 2*r**2. Let j be d(8). Let y(v) = 5*v - 6. Calculate the remainder when 33 is divided by y(j).
6
What is the remainder when -20*(-9 - (-5 - 3))*13 is divided by 173?
87
Suppose -11*h - 3*h = 126. Let f(o) = -4*o - 22*o**2 - 17 - o**3 - 19*o**2 + 32*o**2. What is the remainder when f(h) is divided by 3?
1
Suppose 23*l = 28*l + 6*a - 1355, -2*a - 10 = 0. Let h = 97 + -26. Calculate the remainder when l is divided by h.
64
Let o(s) = 2*s**3 - 8*s**2 + 30*s + 2. What is the remainder when 443 is divided by o(3)?
73
Let k(d) = -60*d + 1. Suppose 4*r = 2*h + 1166, 5*r - 10*h - 1452 = -13*h. Let q = -275 + r. Calculate the remainder when k(-1) is divided by q.
13
Let q(s) = -s**3 + 3*s**2 - 2*s + 28. Let f be q(4). Suppose 0 = 37*n - 41*n - 20, -5*n = -f*a + 173. Calculate the remainder when a is divided by 29.
8
Suppose 2790*q - 2779*q - 581 - 695 = 0. What is the remainder when q is divided by 5?
1
Let a(o) = 181*o**2 - 439*o - 3. What is the remainder when a(3) is divided by 33?
12
Let d(u) = 2*u**2 + 6*u - 2. What is the remainder when d(-5) is divided by 8 + (-175)/25 + -6 + 9?
2
Let s = -3408 - -3503. Calculate the remainder when 843 is divided by s.
83
Suppose -40*y - 1320 = -30*y. Calculate the remainder when 142 is divided by (-174)/406 - y/14.
7
Let h = 6540 - 6434. Calculate the remainder when 354 is divided by h.
36
Let f(j) = j**3 + 11*j**2 + 5*j - 48. Let b(n) = n**2 + 5*n + 4. Calculate the remainder when b(-5) is divided by f(-10).
0
Suppose -4*t + 171 = -3*t - 2*p, 0 = -2*t + 5*p + 337. Let l = t - 109. What is the remainder when l is divided by (57/6)/(4/8)?
15
Suppose 2*s = -3*s + 5*c + 25, -3*s - c = -3. Suppose -v - 2*i + 1 = 0, s*v + i = -1 - 0. What is the remainder when 83 is divided by (v/(-2))/(3 - 835/280)?
27
Let l be 1284/54 + (-2)/(-9). Let j be (l/9)/((-12)/(-378)). Let w = j - 10. Calculate the remainder when w is divided by 25.
24
Let v(j) = 40*j**2 - 3*j + 971. What is the remainder when v(0) is divided by 5?
1
What is the remainder when 213 is divided by 4/3*72/(-96) - -49*1?
21
Let g(h) = -6*h + 39. Let w be g(-21). Suppose 48*d + w = 53*d. Suppose d = 9*j - 57. What is the remainder when j is divided by 4?
2
Suppose 4*p - 277 = -249. Suppose 508 = p*s - 45. Calculate the remainder when s is divided by 17.
11
Let f(k) = k**2 + 23. Let v be f(16). Suppose -6*w - v = 111. Let l = -50 - w. What is the remainder when 29 is divided by l?
14
Let v = 150 - 51. Let n = -76 + v. Calculate the remainder when 61 is divided by n.
15
Calculate the remainder when 621 is divided by 2*((-1552)/(-32) + -4).
87
Suppose -1122 = -3*s - 4*t, 5*s - 1887 = -5*t + 4*t. What is the remainder when 113 is divided by -6*(s/(-180) + (-6)/(-10))?
5
Let q(h) be the second deri