uppose 15*b = 9*b + p. What is the remainder when (67 - (2 + 0))*1 is divided by b?
10
Let d(p) = 473*p**2 - 152*p + 691. Calculate the remainder when d(5) is divided by 15.
11
What is the remainder when (-6)/((-6)/3) + 176 is divided by 1368*(-19)/(-1292) - (-2)/(-17)?
19
Suppose -742*b - 39 = -745*b. Suppose -b*w - 2970 = -43*w. What is the remainder when 987 is divided by w?
96
Suppose h = 5*c + 5*h - 142, 32 = c + 2*h. Suppose -152*n + 153*n = c. Calculate the remainder when 88 is divided by n.
10
Let x = 22451 - 22433. Suppose -4*t - t = -525. Calculate the remainder when t is divided by x.
15
Let j(t) = -64*t**3 - 2*t - 1. Let a be j(-1). Let r = -60 + a. Let k(o) = 12*o - 1. Calculate the remainder when k(1) is divided by r.
1
Suppose -i + 2 = 0, -3*o + 2 = -o - 2*i. Suppose -1 + 33 = 4*c. Let n = 10 - c. Calculate the remainder when o is divided by n.
1
Suppose -6*x + 11*x - 185 = 0. Suppose -5*a = w - x, -174 = -4*w - 3*a - 60. Calculate the remainder when 263 is divided by w.
20
Suppose 23*v - 231 = 470 + 12. Calculate the remainder when 1568 is divided by v.
18
Let z(t) = 3*t**3 + 14*t**2 - 159*t - 6. Let a be z(7). Suppose -2*y + 5*d + a = 0, -11*y + 2*d = -13*y + 596. What is the remainder when y is divided by 23?
22
Suppose -c = 2*q - 76, 3*q = c + 22 + 107. Let h be 1/((-1)/(-3)) + 0. Suppose -h*l + 29 = -16. What is the remainder when q is divided by l?
11
Calculate the remainder when 1204 is divided by -1 + 1/4*76*(-14)/(-7).
20
Suppose -3*q - 177 = -4*a, -15*q = -4*a - 13*q + 182. Calculate the remainder when 83 is divided by a.
35
Suppose -10*d + 110 = -5*d. Suppose -2*x = -126 + d. What is the remainder when 193 is divided by x?
37
Calculate the remainder when 33169 is divided by (-7 - -16) + -8 + 213.
213
Suppose -5*i - 2*c - 508 = 0, -2*i + 4*i + 5*c = -220. Let o be ((-315)/25)/(2/i). Suppose -32*d = -41*d + o. What is the remainder when d is divided by 8?
6
Suppose 0 = -h + 2*h - 118. Suppose k + 3*n = h, n - 590 = 4*k - 9*k. Suppose -20 = w, -4*a - 3*w = 339 - 359. Calculate the remainder when k is divided by a.
18
What is the remainder when 675 is divided by 351/(-54) + 193/2?
45
Let z be (339/(-113))/(0 + 3/(-95)). Let x = z + -20. Calculate the remainder when 449 is divided by x.
74
Let g(f) = -596*f**2 + 126354*f - 328. What is the remainder when g(212) is divided by 16/1 - (-1 - 0)?
11
Let i be 4*(-2)/8*6. Let q be (1 - -36)/(i/30*-5). Suppose -q = -7*w + 26. What is the remainder when 40 is divided by w?
4
Suppose 0 = -4*y - 2*y + 294. Suppose z - 35 = 3*d, -2*z = -d - 11 - y. Calculate the remainder when 72 is divided by z.
14
Let a = 37 + -51. Let r be (-91)/a + 3/(-6). Suppose -4*f = r*f - 440. What is the remainder when f is divided by 12?
8
Let h(z) = 8*z**2 + 2 + 8*z - 23*z**2 + 17*z**2. Let b be h(-4). Suppose o + 3*o + 315 = 5*g, b*o = 2*g - 128. Calculate the remainder when g is divided by 10.
9
Let j = 3058 - 3000. Calculate the remainder when 631 is divided by j.
51
Let s(x) = -2*x + 1. Let m(b) = 23*b + 2. Let j(d) = m(d) + 4*s(d). What is the remainder when j(1) is divided by 7?
0
Suppose u - 438 + 158 = -3*v, 3*u = -2*v + 175. Let j = -209 + 242. Calculate the remainder when v is divided by j.
29
Let y = -439 + 444. Suppose y*c - 840 = -2*c. What is the remainder when c is divided by 14?
8
Suppose 71281 + 35262 = 1330*z + 30733. Calculate the remainder when (-2)/(-1) - (-906)/2 is divided by z.
56
Let g = -15694 - -15792. What is the remainder when 602 is divided by g?
14
Suppose -3370 = 55*v - 14810. What is the remainder when v is divided by -1 + 1 + (-35)/(-1)?
33
Suppose 2*q - 15 = 2*m - 3*m, 56 = 4*m + 4*q. Suppose -c = -4*z - m - 26, c + 5*z = 66. Calculate the remainder when c is divided by 14.
9
What is the remainder when 600 is divided by 10/455*-7 - (-4764)/39?
112
Suppose -3932 - 2148 = -32*v. What is the remainder when v is divided by 106?
84
Let i(r) = -r**3 - 9*r - 9. Let x be i(-1). Suppose k + x - 24 = 5*j, -2*k - 4*j = -18. Calculate the remainder when 178 is divided by k.
9
Let i(x) = x**3 + 9*x**2 - 969*x - 68. What is the remainder when (25*(0 + -2))/(-1) is divided by i(27)?
11
Let o(h) be the first derivative of -41*h**2/2 - 2*h - 89. Calculate the remainder when 73 is divided by o(-1).
34
Let m(p) = -p + 180. What is the remainder when m(9) is divided by 19?
0
Suppose 5*d = 3*t - 363, 344 = -2*d + 332. What is the remainder when t is divided by 37?
0
Suppose -4*f = 2*s - 14, 5*f + 37 - 9 = 4*s. Let l = 4 - s. Let a = l + 47. What is the remainder when a is divided by 24?
20
Let z(w) = -w + 20. Let c be z(9). Suppose 0 = -c*x + 18*x + 28. What is the remainder when 1/((-2)/(-56))*(-6)/x is divided by 5?
2
Let p = -3 - -23. Let u(m) = -5*m - 14*m + p*m. What is the remainder when 13 is divided by u(4)?
1
Let a(g) = 67*g - 39. Let d be a(5). Suppose -112 = -w - s - 3*s, -3*w + d = 2*s. What is the remainder when w is divided by 30?
6
Suppose 7884*l = 7895*l - 36454. What is the remainder when l is divided by 39?
38
Let j(d) = -6*d + 14. Let f be j(3). Calculate the remainder when 23 is divided by 8*(f + 0 + (9 - 4)).
7
Let f be (16/10 - 2) + 24/10. Suppose 3*g - 126 = 2*n, -5*n = -f*g + g + 29. Let t = 111 - g. Calculate the remainder when t is divided by 34.
33
Let n = 22 - -55. Suppose -n = -46*h + 39*h. Calculate the remainder when h is divided by 4.
3
Suppose 139*a = 23799 + 131420 + 6994. Calculate the remainder when a is divided by 157.
68
Let y be (4 + 1)/35 + 248/28. What is the remainder when (774 - 2)*(y/(-12))/(-3) is divided by 39?
37
Let r be ((-16)/8 - -1)/(2/(-12)). Suppose 5*h - 20 = -b + r, 5*h - 23 = 2*b. What is the remainder when (-354)/(-18) + 4/(-6) is divided by h?
4
Let o(f) = -312*f - 4. Let j be o(-3). Suppose 0 = 4*b - j + 324. Let k = b - -20. What is the remainder when k is divided by 35?
32
Suppose -244*y = -246*y + 20. Suppose 0 = 2*z - 12 + 2. Suppose 0*t - 90 = -z*t. Calculate the remainder when t is divided by y.
8
Let y = 768 - 740. Calculate the remainder when 53 is divided by y.
25
Suppose -6 = 5*i - 31. Suppose i*k - 5*h - 70 = -4*h, 3*h = k. What is the remainder when 55 is divided by k?
10
Let c(d) be the second derivative of 14*d - 8/3*d**3 + 9/2*d**2 + 1/20*d**5 - 1/4*d**4 + 0. Calculate the remainder when 104 is divided by c(6).
20
Suppose 9687 = 32*b - 3049. Let c = b - 381. Calculate the remainder when 95 is divided by c.
10
Let q = 5106 - 5086. What is the remainder when 1031 is divided by q?
11
Let l(o) = o**3 - 79*o**2 - 69*o - 60. Calculate the remainder when l(80) is divided by 63.
1
Let g = -27 + 33. Let n = 57 + g. What is the remainder when n is divided by 28?
7
Suppose 0 = 73*f + 680 - 2578. Calculate the remainder when 6341 is divided by f.
23
Suppose -1103 = -10*x - 7553. Let r = 717 + x. Calculate the remainder when 276 is divided by r.
60
Let l = -5873 + 5877. Let i(s) = -3*s + 12. Let y be i(5). Calculate the remainder when (y/(-9))/(3/45) is divided by l.
1
Let j(w) = -5210*w - 19. What is the remainder when j(-1) is divided by 59?
58
Let y = 30 + -20. Suppose 4 = 3*d - 4*d + 4*q, -105 = -5*d - 5*q. What is the remainder when 1588/y - (-5)/25 is divided by d?
15
Let l(k) = -3*k**2 - 32*k. Calculate the remainder when 278 is divided by l(-6).
26
Let y(d) = -3*d**2 - 19*d - 12. Let r(w) = w**2 + w - 1. Let g(v) = 2*r(v) + y(v). What is the remainder when g(-12) is divided by 8?
6
Let p(g) = 2*g**3 - 12*g**2 + 55*g + 22. Calculate the remainder when 1057 is divided by p(6).
1
Let z = 0 - -2. Calculate the remainder when (-830)/(-8)*1 + (63/28 - 2) is divided by (-6)/z*(-14 + 2).
32
Let y(a) = -a + 23. Let i(q) = 9 - 5*q + 4*q + 3*q - 3*q. What is the remainder when y(14) is divided by i(4)?
4
Suppose -3*h + 116*y + 909 = 115*y, 3*h - 903 = 2*y. What is the remainder when h is divided by 134?
37
Let k(b) be the first derivative of -b**4/4 - 4*b**3/3 + b**2/2 + 36*b + 21. What is the remainder when k(-6) is divided by 27?
21
Suppose 3*k = -0*c + c + 74, 344 = -4*c - 4*k. Let g(z) = 4*z - 277. Let n be g(94). Let u = n + c. What is the remainder when 77 is divided by u?
13
Let h(m) = 24*m**2 + 26*m + 29. Let p = 365 - 156. What is the remainder when p is divided by h(-2)?
63
Let j(a) = -37*a + 430. What is the remainder w