7
Let p(x) = x**2 + 358*x - 3242. Calculate the remainder when p(9) is divided by 50.
11
Suppose 59*i - 2*o = 54*i + 757, -3*i - 4*o = -475. What is the remainder when 739 is divided by i?
127
Let t = -11433 - -11487. What is the remainder when t is divided by 10?
4
Suppose 3*g - 32 = -170*b + 169*b, -3*g = 5*b - 4. Calculate the remainder when 137 is divided by g.
7
Let r(h) = -3*h**3 + 135*h**2 + 137*h + 61. Calculate the remainder when 3205 is divided by r(46).
10
Suppose 40*h - 101 = -21. Suppose -10*f + 12*f = -h*q + 58, 0 = 3*f - 4*q - 94. What is the remainder when 178 is divided by f?
28
Let a = 11406 - 7382. What is the remainder when a is divided by 19?
15
Let k = 619 + -604. Calculate the remainder when 249 is divided by (-1 - -61)*(18/k)/2.
33
Let d be 50050/45 + (-2)/9. Suppose 19*q - d - 161 = 0. Calculate the remainder when q is divided by 27.
13
Let k be (6/(-4) - 1)/((-2)/92). Let c = 331 - k. Suppose -c = a - 4*a. Calculate the remainder when a is divided by 25.
22
Suppose 69*y - 131397 - 50342 = 95572. Calculate the remainder when y is divided by 126.
113
Suppose -c - 6800 = -5*c. Suppose 3*p + d = 1021, 5*p - c = 2*d - 4*d. Suppose 2*n + 96 = p. What is the remainder when n is divided by 21?
18
Suppose 0 = -3*r + 4*r - 3*f - 8, 2*f + 45 = 3*r. Let z = -70 + 169. What is the remainder when z is divided by r?
14
Let u(s) = -s**2 - 8*s + 37. Let v be u(-7). Suppose 4*w - 4*a - v = 0, -7*w + 3*w = 2*a - 14. Calculate the remainder when 13 is divided by w.
1
Let a(l) = -35*l - 215. What is the remainder when 211 is divided by a(-7)?
1
Let v = 412 + -737. Let h = 347 + v. Calculate the remainder when h is divided by 0 - -10 - (-4)/(-4).
4
Suppose -u = 2*d - 102, -61*d + 60*d = -3*u + 348. Calculate the remainder when u is divided by 63.
51
Suppose -159 + 27 = -3*g. Suppose -6*c = -4*c - g. Let j = -239 - -244. Calculate the remainder when c is divided by j.
2
Let a(f) = 3*f**3 - 17*f + 3579. What is the remainder when a(0) is divided by 16?
11
Suppose 5 - 129 = -2*v. Suppose -4*r + 258 = 3*j, 2*j - 38 - 29 = -r. Suppose 3*t - 159 = -r. What is the remainder when v is divided by t?
30
Let c = -76 + 122. Suppose 2*u - 7 - 1 = 0. Suppose -2*g = u*d - 22 - 74, -72 = -3*d - 2*g. Calculate the remainder when c is divided by d.
22
Let g(c) = -84*c**2 - 7984*c - 358. Calculate the remainder when 867/5 + (-2)/5 is divided by g(-95).
19
Let s = -8249 + 8273. Calculate the remainder when -167*(0 - 0 - 1) is divided by s.
23
Let y(w) = 3*w**2 - 52*w + 2156. What is the remainder when y(25) is divided by 38?
33
Suppose 0*q - q + 71 = 0. Let v = -20 - -25. Suppose -3*p = v*s - 3*s - 33, -5*s + 45 = -5*p. What is the remainder when q is divided by s?
11
Suppose -8*g + 31 - 28 = -101. Suppose 3*f = 25 + 47. What is the remainder when f is divided by g?
11
Let k be (-285)/(-133) - (-1)/(-7). Suppose -11*o + 8*o - 4*p = -18, 3*o + k*p - 18 = 0. Calculate the remainder when 16 is divided by o.
4
Let h = -702 + 711. Suppose -250 = h*q - 916. What is the remainder when 289 is divided by q?
67
Suppose 18*l - 19*l - 5*j + 271 = 0, 2*l - 3*j = 594. What is the remainder when l is divided by 75?
66
Let n(i) = 2*i - 22. Let c be n(11). Suppose -v + 25 + 48 = c. Let h = v + -57. What is the remainder when 63 is divided by h?
15
Let n be (-7)/((-49)/(-397)) - (-2)/(-7). Let i = n - -92. Calculate the remainder when 103 is divided by i.
33
Suppose -3*f - 5*y - 10 = 7, 2*y = 2*f - 10. Let t be 0*3/(-6)*f. Suppose 2*g + 3*g - 140 = t. What is the remainder when 53 is divided by g?
25
Let g(d) = 3*d**2 - 33*d - 246. What is the remainder when 898 is divided by g(-6)?
58
Let n be (-12)/(-9)*(-9)/(-6). Suppose 5*i = -5*d - 10, -d = n*d - 15. Calculate the remainder when 11 is divided by (-20)/((-5)/(-1)) - i.
2
Suppose 6*h - 3*h - 471 = 0. Let i = h - 105. Let a(p) = -2*p**2 - 33*p + 81. What is the remainder when i is divided by a(-18)?
25
Let a = -98 - -172. Let u = a - -17. Let w = -78 + u. Calculate the remainder when 25 is divided by w.
12
Let j(d) = d**2 - 10*d + 9. Let s be j(9). Suppose 6 = -s*m - 3*m. Calculate the remainder when 72 is divided by (-33)/m + -2 + (-2)/(-4).
12
Let h(m) = 2*m**2 + 10*m - 30. Let z be h(4). Let y = 121 - z. What is the remainder when y is divided by 17?
11
Let t(i) = -176*i + 1529. What is the remainder when 602 is divided by t(8)?
118
Suppose -7527 - 10293 = -36*i. Calculate the remainder when 1519 is divided by i.
34
Suppose 2*h - 32 = -6*h. Suppose h*q = 1 + 19. Suppose 2*a = 4*k - 92, k = q*a - 17 + 49. Calculate the remainder when 41 is divided by k.
19
Suppose 8*l = 34 + 22. Let m be (l - 1 - (2 + -1))/1. Suppose 82 = m*i - 43. What is the remainder when 123 is divided by i?
23
Let j(b) be the third derivative of b**5/60 - 13*b**4/24 + 10*b**3/3 + 12*b**2. Let v be j(12). Calculate the remainder when (-1 - -11)/(v/20) is divided by 7.
4
Let v be 412/(-28) + (-1)/((-21)/(-6)). Let m = v + 37. Calculate the remainder when m is divided by 8.
6
Suppose 39*s + 34*s - 10952 - 6714 = 0. Calculate the remainder when 251 is divided by s.
9
Suppose -a = -115 - 11. Suppose -6*c + a = -36. What is the remainder when 61 is divided by c?
7
Suppose 36*i - 12 = 33*i. Suppose -5*t = -216 - i. What is the remainder when t is divided by (-4)/(-2)*7 - 2?
8
Let z = -4727 - -4760. Let i = -23 + 29. What is the remainder when z is divided by i?
3
Suppose 0 = -9*u + 52*u - 3010. Suppose u*c + 33 = 81*c. Suppose 0 = -0*q + q - 32. Calculate the remainder when q is divided by c.
2
Suppose 2*f + 15 = 65. Suppose 4*a + 5*y - 74 = 0, 5*y + f - 15 = 0. Calculate the remainder when a is divided by 5.
1
Let g(a) = -131*a**3 + 3*a**2 - 2*a - 16. Calculate the remainder when g(-2) is divided by 34.
28
Suppose 5*r - 150 = 410. Suppose 13*g - 14*g = -r. Calculate the remainder when g is divided by 15.
7
Let o(m) = m**2 - 12*m + 9. Let n be o(-5). Suppose 2*x - n = -4*t, 3*x - 5*x + 2*t = -76. What is the remainder when x is divided by 21?
20
Let d(l) = 2*l**2 - 12*l - 4. Let i be d(9). Let a = 50 - i. Suppose -2*r + 7 = g - a*r, -5*g - r + 53 = 0. Calculate the remainder when 32 is divided by g.
10
Suppose 28*f + 34*f - 28221 = 16543. What is the remainder when f is divided by 104?
98
Let t(c) = 0*c**2 - 235 + 36*c + 3*c**2 - c**3 + c**2 + 237. Calculate the remainder when 61 is divided by t(8).
27
Let w be (16 + 2 + -2)/(4/22). Suppose 99 = x + w. What is the remainder when x is divided by 6?
5
Let n(l) = 29*l - 1154. Calculate the remainder when n(45) is divided by 7.
4
Let r = 10711 - 10541. Calculate the remainder when 752 is divided by r.
72
Let d(u) = 161*u + 4213. Calculate the remainder when d(88) is divided by 12.
9
Let n be (6/(-2))/((-39)/11882). Suppose -2201 - n = -5*m. Suppose -5*k - 3*o + m = 0, -k + 117 = 5*o + 10. Calculate the remainder when k is divided by 32.
31
Let w = 467 + -299. What is the remainder when w is divided by 88?
80
Let p be (1 - 10)/(12 - 11). What is the remainder when -9*p/(-108) + (-1334)/(-8) is divided by 34?
30
Suppose 576*s - 583*s + 511 = 0. Calculate the remainder when 443 is divided by s.
5
Suppose -t + 30 = -p, 2*t - 12 = -4*p + 72. Let x = 2 - 0. Suppose -h - x*h = -399. Calculate the remainder when h is divided by t.
31
Suppose 16*r = 3*m + 13*r - 2460, 4*m - 3*r = 3275. What is the remainder when m is divided by 121?
89
Let k(p) = -30*p - 877. Calculate the remainder when k(-31) is divided by 4.
1
Let k = -2418 - -3982. Calculate the remainder when k is divided by 58.
56
Suppose 0 = -63*w + 329 - 1337. Suppose 0 = -2*d - 4*r + 2 - 82, 4*r - 130 = 3*d. Let x = w - d. What is the remainder when 102 is divided by x?
24
Let z(r) = 79*r**2 + 141*r - 810. Calculate the remainder when z(6) is divided by 19.
11
Let v(p) = -p**3 + 50*p**2 + 8*p - 339. What is the remainder when 176 is divided by v(50)?
54
Let i(s) = 83*s + 3. Let x be i(-6). Suppose -4*m = -2*k + 28, -163*k + 159*k = m - 119. What is the remainder when (1/3)/((-3)/x) is divided by k?
27
Let t be 519*(-5)/(-3)*7. Suppose 0 = 21*u + 14*u - t. What is the remainder when u is divided by 63?
47
Suppose -7 = -35*g + 36*g. Let d be g/((-98)/12)*70/20. Suppose -2*l + 18 = 4*n - 3*n, -d*l + 87 = 4*n. Calculate the remainder when n is divided by 13.
11