 Let m be t(11). Calculate the remainder when 21 is divided by (2/1)/(m/(-15)) + 2.
9
Let c be (-6)/(-4) - (3/(-2) + -1). Suppose -c*q - 2 + 10 = 0. Suppose 0 = -4*f + 186 + q. Calculate the remainder when f is divided by 12.
11
Let w(b) = -2*b + 3. Let n be w(3). Let r(v) be the first derivative of -5*v**2 + 10*v - 34. What is the remainder when r(n) is divided by 21?
19
Let z(w) = -193*w - 276. What is the remainder when 539 is divided by z(-2)?
99
Let h = 20961 - 20492. What is the remainder when h is divided by 12?
1
Let g = 5165 - 5091. Calculate the remainder when 77 is divided by g.
3
Suppose 3*p = -2*w + 455, -19*w - p = -21*w + 467. Calculate the remainder when 657 is divided by w.
193
Suppose -3*l = -5*r + 21, 0*l - 4*l - 4*r = 28. Let v(s) = -2*s + 8. Let x(u) = 2*u**2 + 2*u + 1. What is the remainder when x(4) is divided by v(l)?
19
Let g = -5221 - -5246. What is the remainder when 1724 is divided by g?
24
Let m(t) = 45*t**2 + 579*t + 1732. Calculate the remainder when m(-3) is divided by 195.
10
Let h = 82 - 75. Suppose -h*c - 524 = -11*c. Calculate the remainder when c is divided by 19.
17
Let z(l) = -9*l**3 - 111*l**2 + 64*l - 1. What is the remainder when z(-13) is divided by 65?
51
Let p(c) = -c**3 + 13*c**2 + 9*c + 5. Let n(d) = -2*d**2 + d. Let i(m) = 5*n(m) + p(m). What is the remainder when 84 is divided by i(-3)?
16
Let o(x) = 8*x + 20. Let u be 6 + (3 + -1)*1. Let t be o(u). Let r = -45 + t. What is the remainder when 76 is divided by r?
37
Let t be (-4)/(-4) + 174/6. Calculate the remainder when 26 is divided by (96/28)/(-2 + t/14).
2
Suppose 0 = -2*h + 3*j - 237 + 871, -h + 296 = -5*j. What is the remainder when h is divided by 41?
39
Let k be 1 - (3/4)/(1/(-404)). Suppose -4*d - 2*i + k = 0, 0 = 7*d - 2*d + i - 377. What is the remainder when d is divided by 20?
15
Let b(p) = p**2 - 29*p - 153. What is the remainder when b(55) is divided by 71?
70
Let i(w) = -6*w + 1. Let z(b) = -1. Let m(n) = -i(n) + 2*z(n). Let k = 29499 + -29447. Calculate the remainder when k is divided by m(5).
25
Suppose -16*b + 1191 - 1031 = 0. What is the remainder when 1078 is divided by b?
8
Let i = -87550 + 88298. Suppose 309 = 4*q - 3*h, 139 = 4*q - 5*h - 176. Calculate the remainder when i is divided by q.
73
Let d be (-108)/189*(-35)/(-2). What is the remainder when (0 + 1)/(d/(-690)) is divided by 25?
19
Calculate the remainder when 279 is divided by 231 - (-50 - -5)/(-15).
51
Let u(t) = t + 2*t + 6 - 20 + 6*t. What is the remainder when u(6) is divided by 17?
6
Suppose 161*i = 148*i + 1742. Suppose -4*a + i = -t, 0 = a + 76*t - 79*t - 28. Calculate the remainder when 10*(-1)/((-2)/20) is divided by a.
32
Let x(r) = r**3 + 9*r**2 - 6*r + 14. Let b(m) = -m**2 - 2*m. Let l(i) = -3*b(i) + x(i). What is the remainder when l(-9) is divided by 43?
42
Suppose -78 = -8*i + 30 + 44. What is the remainder when i is divided by 11?
8
Suppose 0 = 4*w + w - 650. Let f = 6581 + -6562. Calculate the remainder when w is divided by f.
16
Let y be (-20)/(-12) - (-2)/6. Let m(j) = -25 - 3*j - 3*j + y*j - 5*j. Calculate the remainder when 56 is divided by m(-5).
16
Let q = 95 - 86. Suppose 42 = q*g - 2*g. Calculate the remainder when 34 is divided by g.
4
Suppose -3*m = -m. Suppose m = f - 5*f - r + 71, 2*f + 2*r = 40. Calculate the remainder when (1/(-2)*1)/(11/(-132)) - -26 is divided by f.
15
Let t be 3*(2 - -27) - (-7 + 4). Suppose -t = -s + 6. Suppose 0 = -5*l - 5*h + 105, -4*l + s = -h - h. What is the remainder when 91 is divided by l?
22
Suppose v - 2*v + 33 = -5*x, x = -5*v + 87. Suppose 4675 + 887 = v*g. What is the remainder when g is divided by 39?
36
Calculate the remainder when 1229 is divided by 214/6 + -1 - (792/(-27) - -30).
5
Let y = 4940 + -4805. Calculate the remainder when y is divided by 85.
50
Suppose -29*w - 47*w - 1552 = -22072. Calculate the remainder when 567 is divided by w.
27
Let b(f) = 140*f**2 - 2092*f - 29. What is the remainder when 355 is divided by b(15)?
82
Let z(o) = 28*o + 1. Let k be z(-4). Let w = 31 - k. Let g(c) = -2*c**2 - 23*c + 29. What is the remainder when w is divided by g(0)?
26
Suppose -166*s + 5368 = -59538. What is the remainder when s is divided by 77?
6
Suppose -30*t = t. Suppose 8*g + 4*g - 60 = t. What is the remainder when 63 is divided by g?
3
Let g(p) = 3*p**3 - 34*p**2 - 18*p - 24. What is the remainder when g(12) is divided by (209/(-22))/(2/(-4))?
10
Suppose 2*q + 21 = p, 79 = 4*p + 9*q - 12*q. What is the remainder when 2/13 + (-17046)/(-234) is divided by p?
16
Let s = 63 + -16. Suppose -2*b + s = 9. What is the remainder when -1*333/27*-3 is divided by b?
18
Calculate the remainder when (-27)/12 + 54/216 - -16273 is divided by 25.
21
Let n(q) = 26*q**2 + 4*q + 1. What is the remainder when n(-2) is divided by 17/(-3)*(-14)/(84/18)?
12
Suppose -3487 = -124*x + 9161. Calculate the remainder when 287 is divided by x.
83
Let c = -55824 + 55832. Let d = -46 + 3. Let p = d + 71. What is the remainder when p is divided by c?
4
Suppose -70*x - 18*x + 25553 = -11935. Calculate the remainder when x is divided by 36.
30
Let u(z) = -5*z**2 + 226*z - 485. What is the remainder when u(28) is divided by 24?
3
Suppose -2*o = -2*f + 133 - 547, -3*o + 623 = -5*f. What is the remainder when o is divided by 68?
2
Suppose -789*y + 131 = -788*y. What is the remainder when 625 is divided by y?
101
Suppose -5*j = -m - j - 781, 4*j - 2311 = 3*m. Let l = m - -852. What is the remainder when 258 is divided by l?
84
Suppose 2*c + c = -66. Calculate the remainder when 2*7*(25 + c) is divided by 11.
9
Suppose 2*w + q + 1210 = 1598, -5*q = w - 176. What is the remainder when w is divided by 135?
61
Let s = 7 + -24. Let i = s + 44. Calculate the remainder when 25 is divided by (-6)/i + 65/9.
4
Let r be (-29)/((-1 - -3) + 19/(-9)). Suppose -5*m = 10*l - 6*l + 651, -l - r = 2*m. Let z = 144 + m. Calculate the remainder when 37 is divided by z.
11
Suppose 13*b = 12*b - 5*u - 486, 5*b = u - 2430. Let o = 506 + b. Calculate the remainder when 57 is divided by o.
17
Let u be 6/15 + 144/15. Let y(c) = -10*c**2 + 5*c - 14. Let x(o) = -3*o**2 - o. Let n(f) = 3*x(f) - y(f). What is the remainder when 100 is divided by n(u)?
32
Suppose 3*s = -4*a - 869, -11*a = -7*a + 5*s + 867. Let t = a + 225. What is the remainder when 397 is divided by t?
5
Let a = -585486 + 585590. What is the remainder when (299/2)/(1/2) is divided by a?
91
Let t = -972 + 557. Let h = t + 419. Calculate the remainder when 33 is divided by h.
1
Suppose -260*r + 257*r + 4*u + 20641 = 0, -4*r + 4*u = -27524. Calculate the remainder when r is divided by 97.
93
Let o(q) = q**3 + 23*q**2 - q + 29. Let y be o(-22). Let p = 584 - y. What is the remainder when 157 is divided by p?
10
Suppose -z = 3*z + 5*t - 19, -z = 4*t - 2. Suppose 848 = 5*a + 11*a. Suppose -a = -3*r + 4. Calculate the remainder when r is divided by z.
1
Let t(y) be the second derivative of y**3/3 + 5*y**2/2 - 4*y. Suppose -4*x + x = 15, 0 = -3*a + 4*x + 56. Calculate the remainder when t(7) is divided by a.
7
Let c(n) = -8 - 10 - 1 + 6*n. What is the remainder when ((-545)/10 + -2 - -5)*-2 is divided by c(9)?
33
Let j be ((-18)/(-4))/3 + (-123)/(-82). Let o(n) = -16*n**3 - n**2 + n + 1. Let d be o(j). What is the remainder when 1676/38 - (-46)/d is divided by 5?
4
Let m(g) = -2*g**3 + 9*g**2 + 4*g - 6. Let r = 152 - 148. Calculate the remainder when m(r) is divided by ((-6)/10)/(14/(-210)).
8
Let x(l) be the first derivative of -l**2 - 128. Let o be (-3)/1 + 0/1. Calculate the remainder when 21 is divided by x(o).
3
Suppose 14*h = 11*h - 9, 3*f + 5*h - 2262 = 0. What is the remainder when f is divided by 15?
9
Let x(f) = -497*f - 646. What is the remainder when x(-21) is divided by 17?
16
Let u be (-64)/2*((-28)/8)/7. Suppose -3*w - 2*z = -4*w + u, -2*w = z - 17. Calculate the remainder when 34 is divided by 116/w + (-28)/(-70).
10
Suppose 0 = -n + 5*c - 13, 3*n = -2*c - c - 3. Let u(z) = -4*z**2 - 11*z + 7. What is the remainder when 15 is divided by u(n)?
3
Let u(s) = -s**3 + 9*s**2 + 5*s - 21. Suppose -3*i + 80 = 2*o, -3*i + 4*o + 78 = 4. What is the remainder when i is divided by u(9)?
2
Let y = -100 - -147. Let u = -26 - -28. Calculate the remainder when y is divided by u/7 + 1*830/35.
23
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