is divided by 17.
8
Let d(i) = 17*i**2 - 24*i + 182. Calculate the remainder when d(9) is divided by 32.
31
Suppose 0 = 4*z - 3*q + 89 - 1005, -z + 5*q = -229. Let g(k) = k**2 + k + 2. Calculate the remainder when z is divided by g(7).
55
Suppose -66 = -3*m - 5*x + 69, -4*x + 94 = 2*m. Let j(q) = -2*q**3 - 9*q**2 - 3*q + 2. What is the remainder when j(-6) is divided by m?
23
Let t(c) = c**3 - 27*c**2 + 28*c + 58. Let p be t(26). Let w = p - 57. What is the remainder when w is divided by 27?
26
Let j = 34 - 10. Suppose -5*z = -59 + j. Let r = -20 - -46. What is the remainder when r is divided by z?
5
Suppose 5*k - t - 76 = 0, 0 = -620*k + 625*k - 2*t - 72. What is the remainder when 1775 is divided by k?
15
Let t(y) = -6*y**2 + 8 - 9*y**2 + 35*y**2 - 6*y**2 - 13*y**2 + 2*y. Suppose p - m = -3, 5*p + 2*m + 6 = 4*m. What is the remainder when 55 is divided by t(p)?
7
Suppose -7*c + 1688 = -188. Suppose -2*d - 236 = -c. Calculate the remainder when 316 is divided by d.
12
Suppose -2*o + 58*o - 13*o - 6622 = 0. Calculate the remainder when o is divided by 108.
46
Suppose 4*r = 2*g + 277 + 77, 5*g + 363 = 4*r. Let u = r - 7. What is the remainder when u is divided by 28?
24
Let n(j) = 320*j + 6408. Suppose 5 = 5*v - 4*v. Suppose -v*b - 4*u + 255 = u, 0 = 3*b - 4*u - 167. Calculate the remainder when b is divided by n(-20).
5
Suppose -2 + 8 = 3*n. Let q(l) = -4*l**n + 32 + 5*l**2 - 2*l**2 + 2*l**2. What is the remainder when q(-5) is divided by 10?
7
Suppose 1356 = -5*o + 3*y + 4691, -4*o + 2655 = -5*y. What is the remainder when o is divided by 32?
30
Let w = 311 - 317. Let p(s) = 2*s**2 + 4*s - 34. Calculate the remainder when 44 is divided by p(w).
2
Let w be 9*(-2)/((-4)/2). Suppose 0 = -w*a + 10*a - 15. Suppose -a*x = -16*x + 45. Calculate the remainder when x is divided by 12.
9
Let o(p) = 44*p**2 - 9*p - 27. Let t be o(-3). Let u = t + -364. Calculate the remainder when 126 is divided by u.
30
Calculate the remainder when 118 is divided by 74 + (-26 - -14) + 15.
41
Let v(r) = -r**3 + 7*r**2 + 8*r - 17. Let f be v(8). Let t(s) = -s**3 - 17*s**2 - s - 5. What is the remainder when (-460)/(-11) - 10/(-55) is divided by t(f)?
6
Suppose -3*p + 5*h = -552, -5*p - 4*h + 454 = -540. What is the remainder when 4263 is divided by p?
189
Suppose 188 = 2*d - 244. Suppose 29*h - d = 21*h. Calculate the remainder when 159 is divided by h.
24
Let j = 316 + -302. Let g = j - -215. Calculate the remainder when g is divided by 33.
31
Suppose 379*i - 371*i - 79 - 41 = 0. Calculate the remainder when 103 is divided by i.
13
Suppose 66*n - 6987 - 10347 = -438. Calculate the remainder when n is divided by 29.
24
Let f(v) be the first derivative of -v**3 - 65*v**2 + 131*v - 336. Calculate the remainder when f(-43) is divided by 25.
24
Calculate the remainder when 805 is divided by 9 - 4 - -128*(2 - 1).
7
Let l(m) = 58*m**3 + 3*m**2 - 9*m + 6. Calculate the remainder when 905 is divided by l(1).
35
Let t = 31 - -34. What is the remainder when (10 - 2)/(-2)*-4 is divided by 445/t + 2/13?
2
Let k be 550/15*(-12)/(-10). Let p = k - 39. Suppose p*h - n - 42 = 0, -3*h + 3*n = -8*h + 54. Calculate the remainder when h is divided by 5.
4
Let z = 90 + -42. Let k(i) = 16*i + 116. Let h(r) = 11*r + 5. Let g be h(-1). What is the remainder when z is divided by k(g)?
8
Suppose 11*u - 16*u - 300 = 0. Let g = u + 69. What is the remainder when 87 is divided by g?
6
Let j = 139 - 22. What is the remainder when j is divided by 1665/99 + 2/11?
15
Let n = -7138 - -7261. What is the remainder when 1719 is divided by n?
120
Let h(m) = -m + 10. Let r = 59 + -44. Suppose -14 = 13*f - r*f. What is the remainder when h(-9) is divided by f?
5
Suppose 5*o + 0*l = l + 323, -5*o + 335 = -5*l. What is the remainder when 956 is divided by o?
60
Let t(g) = 260*g - 5069. Suppose 4*w - 42 = 74. What is the remainder when t(20) is divided by w?
15
Suppose 5*b = 4722*i - 4725*i + 334, 5*b - 3*i = 256. Let y(m) = -6*m - 6. Calculate the remainder when b is divided by y(-4).
5
Suppose 0 = -8*l + 10*l - 2*r - 744, -3*l = 2*r - 1126. Let n = 380 - l. Calculate the remainder when 17 is divided by n.
5
Calculate the remainder when 40 is divided by 32 + (6 - (4 + (4 - 5))).
5
Suppose -69*h + 166119 = 32*h + 32597. What is the remainder when h is divided by 148?
138
Let t(b) = 2*b**2 + 2069*b - 8280. Suppose 111 = 5*v + 31. Calculate the remainder when t(4) is divided by v.
12
Calculate the remainder when 3738 is divided by 66/14*2548/1092.
9
Let s = 7 + -2. Suppose s*l - 15 = 4*l. What is the remainder when l is divided by 6?
3
Let w(q) = -6*q + 25. Let h be w(21). Let u = h - -121. Calculate the remainder when 96 is divided by u.
16
Let a(l) = l**2 - 2*l - 14. Suppose 23 = 2*p - 5*d, p + 7*d - 2*d - 4 = 0. Let k be a(p). Suppose 6*n - 29 = k. What is the remainder when n is divided by 4?
1
Let f = 147 - 98. Suppose 199 = 5*d - 4*l, f + 28 = 2*d + l. Let h = 7454 - 7444. Calculate the remainder when d is divided by h.
9
Let y be 11/(-2)*2/8*8. Let w be y + (-3 + -12)/(-5). Calculate the remainder when (((-1220)/w)/(-5))/(2/(-4)) is divided by 9.
7
Let z = 601 + -466. Let w = -110 + z. Calculate the remainder when 399 is divided by w.
24
Let d(a) = -2*a**3 + 139*a**2 - 73*a + 388. Calculate the remainder when 2361 is divided by d(69).
9
Let y(x) = -60*x**2 - 1151*x + 39. Calculate the remainder when y(-19) is divided by 26.
14
Suppose -199 = -l + 5*a - 8*a, -3*l + 582 = 4*a. Let p(u) = 16*u - 2264. Calculate the remainder when (l/(-4))/((-6)/12) is divided by p(143).
23
Suppose -22*t = -19*t + 15*p - 180, -4*t + 2*p = -64. Let i = 330 + -171. Calculate the remainder when i is divided by t.
19
Let h be (32/10 - 3)*0. Suppose -3*w - 3*m + 903 = h, 5*w + m + 465 = 1974. What is the remainder when w is divided by 38?
36
Suppose 342 = 4*q + a, 6*q - 77 = 5*q + 4*a. Let o = 131 - q. Calculate the remainder when o is divided by 8.
6
Calculate the remainder when 320/(-20) + 22 - -108 is divided by 19.
0
Let l be (-1 - 0)/((-3)/6). Suppose -l*w - 144 = -5*w. Calculate the remainder when ((-1656)/(-48) + -34)*380 is divided by w.
46
Let p(i) = 4*i**3 + 11*i**2 - 3*i - 9. Let k(q) = -5*q**3 - 11*q**2 + 3*q + 8. Let u(j) = 5*k(j) + 6*p(j). Calculate the remainder when u(10) is divided by 31.
25
Let r(u) = 17*u - 18. Let y(v) = -v. Let q(h) = -r(h) - 6*y(h). Let o be q(2). Calculate the remainder when 148 is divided by (6/o)/((-21)/532).
34
Suppose -9*f + 7*f = -376. Let l = 265 - f. What is the remainder when l is divided by 27?
23
Let s be 546/4*(5 - 3) - 3. Suppose -51*i + s = -6*i. Calculate the remainder when ((-1)/(-2) + 0)*32 is divided by i.
4
Suppose -908 = 15*w + 2557. Let z = w - -268. Let u(x) = 9*x**3 - 2*x + 2. Calculate the remainder when u(2) is divided by z.
33
Let f = 77 - 62. Let z = 36 - f. Calculate the remainder when 90 is divided by z.
6
Let i(g) = -g**3 + 13*g**2 + 85*g - 39. Calculate the remainder when i(16) is divided by 34.
9
Let h(y) = -y**2 + 590*y + 6085. Let k = -568 - -987. Calculate the remainder when k is divided by h(-10).
79
Suppose 5*g - 594 = -69. Suppose -730*x + 228634 = -230536. What is the remainder when x is divided by g?
104
Let s be (-20)/(-6) + -9*2/(-27). Suppose -r + 2 + 11 = 2*u, 4*u = -s*r + 24. What is the remainder when u is divided by 3?
1
Suppose 3*o - 5*r - 8 = 0, -5*o - 1824*r + 1820*r + 75 = 0. Suppose 5*l + 5*h - 65 = 0, -21 = 4*l - 3*h - 80. What is the remainder when l is divided by o?
3
Let t(v) = 23*v**2 + 3*v. Let b = 145 - 144. What is the remainder when t(b) is divided by 16?
10
Suppose 0 = -2*v - 4*s - 26, 3*v + 14 = 4*s - 15. Let r(i) = i + 23. Suppose 184 = 4*a - 0*a. What is the remainder when a is divided by r(v)?
10
Suppose -27*y + 1115 = -26*y + 2*h, -5*y = -4*h - 5617. What is the remainder when y is divided by 34?
33
Calculate the remainder when (-4 + (-3828)/24)*-2 is divided by 174.
153
Let f = 1640 - -1090. Calculate the remainder when f is divided by 74.
66
Let y(b) = b**2 + 8*b - 16. Suppose -16*a - 30 = -13*a. Let k be y(a). What is the remainder when 8 is divided by -1 + (1 - 2) + k?
0
Let y = 19491 - 19445. What is the remainder when 647 is divided by y?
3
Let w = -11648 - -27341. Calculate the remainder when w is divided by 109.
106
