q = y, 6*u - 5*q - 105 = u. Calculate the remainder when 174 is divided by u.
24
Suppose 8 = 4*y - 3*r, 8 = 13*y - 9*y + 3*r. Suppose y*i = -4*h + 56, 7*h - 2*h = 2*i + 70. Let x = 62 + -37. What is the remainder when x is divided by h?
11
Let o = -672 + 674. Suppose o*g = 887 - 745. What is the remainder when 425 is divided by g?
70
Suppose 1552 = 100*y - 23*y - 2452. Calculate the remainder when y is divided by 47.
5
Suppose 89*w + y = 94*w - 4141, 2*w = y + 1657. Calculate the remainder when w is divided by 139.
133
Calculate the remainder when 191 is divided by 6/(-4) + (-20806)/(-412).
44
Let u(k) = k**3 + 11*k**2 - 35*k + 23. Let s be u(-20). What is the remainder when (-1*2 - 16)*-7 is divided by s/(-84) + (-10)/8?
27
Suppose 5664 = -13*f + 19*f. Suppose 156*s = 172*s - f. Calculate the remainder when s is divided by (-29 - 1)*4/(-10).
11
Suppose -6 = -4*q - 2*u + 416, 5*u = -2*q + 231. Suppose 2*n + 5*r - 20 = 0, 4*n - 2*r - 52 = -6*r. What is the remainder when q is divided by n?
13
Let p(m) = -54*m - 2974. Calculate the remainder when p(-68) is divided by 181.
155
Let k = -24 + 34. Suppose k - 7 = 3*x. Calculate the remainder when 9 is divided by -4*(-4)/16*4 + x.
4
Let r(b) = -7*b**2 + 432*b - 259. What is the remainder when 219 is divided by r(61)?
35
Let s(d) = d**3 + 10*d**2 - 5*d + 8. Let a be s(-11). Let p = a + 83. Let r(c) = -5*c**2 - 46*c. Calculate the remainder when r(-8) is divided by p.
23
Suppose -4*d - 5*v = -104, 5*d - v = 2*v + 130. Suppose -11 = -2*o + b, 4*b = o + 4*o - d. What is the remainder when 81 is divided by o?
3
Let f(t) = -5*t + 143. Let r(o) = -7*o + 144. Let s(x) = 4*f(x) - 3*r(x). Calculate the remainder when s(-42) is divided by 11.
10
Let w(i) = -i**3 + 6*i**2 + 3*i - 1. Suppose 3*b + 5*h + 14 = 0, 5*b - 2*h + 39 = -5. Calculate the remainder when w(6) is divided by (-94)/b + (-1 - 5/(-4)).
5
Let k(a) = -19*a - 236. Let s(h) = -h**3 + 3*h**2 + h - 16. Let b be s(3). Calculate the remainder when 62 is divided by k(b).
7
Suppose -77*l - 646 = -2956. What is the remainder when 862 is divided by l?
22
Suppose 25 = 2*x - 5*w, 15 = -0*x + 5*x - 3*w. Suppose x = -7*a + 280 + 581. What is the remainder when a is divided by 64?
59
Suppose 97 = -3*o + 4*o. Suppose 4*c + 0*p + 5*p - o = 0, 3*c = 5*p + 29. Calculate the remainder when (0 + 0)*(-5)/20 - -32 is divided by c.
14
Let h = -14644 - -14842. Calculate the remainder when 940 is divided by h.
148
Let a(s) be the third derivative of -s**4/3 + 31*s**3/3 + 21*s**2. What is the remainder when a(-13) is divided by 24?
22
Suppose -10979 = -5*f - 41*d + 44*d, -4*f + 3*d + 8782 = 0. What is the remainder when f is divided by 182?
13
Let n(c) = c**3 + 2*c - 3. Let g be n(2). Suppose -g*r - 4 = -94. Suppose -190 = 8*w - 13*w. Calculate the remainder when w is divided by r.
8
Let y(a) = 2*a - 10. Let f be y(2). Let t(m) = 5*m**2 + 31*m + 19. What is the remainder when 33 is divided by t(f)?
7
Suppose 0 = 10*z - 27 + 107. What is the remainder when 2/z - (1551/12)/(-1) is divided by 11?
8
Let u(j) = 6*j + 104. Let f be u(-17). Suppose f*o - 7*o = -3*t + 7, 4*o = -3*t + 16. Calculate the remainder when 6 is divided by o.
0
Suppose -21*p = -109*p + 103136. Calculate the remainder when p is divided by 24.
20
Let a(g) = 7*g**2 + 247*g - 22. Calculate the remainder when a(-37) is divided by 207.
8
Let v(j) = j**3 - 2*j**2 - 23*j + 612. What is the remainder when v(0) is divided by 82?
38
Suppose -m = 5*x - 2*m - 919, x + m - 185 = 0. What is the remainder when 546 is divided by x?
178
Suppose 5*a - 58 = -328. What is the remainder when 448 is divided by (6 + -3)/(a/(-738))?
38
Let i be 1/(((-3)/1)/9) + 25. Suppose 3*l = -a + 36, -3*l - i = 4*a - 121. Suppose -a = 6*b - 69. What is the remainder when 37 is divided by b?
5
Suppose -15*z + 2328 = -6*z - 8562. What is the remainder when z is divided by 175?
160
Let l = -394 - -739. Suppose -35*u + 180 = -l. What is the remainder when 99 is divided by u?
9
Let j = 20820 + -20259. What is the remainder when j is divided by 112?
1
Let k = -217 - -219. Let d be 0*(0 - (-1 + 0)). Suppose -3*u - k*s + 27 = d, u + s - 22 = -4*s. Calculate the remainder when u is divided by 4.
3
Suppose 7*v + 115 = 535. Calculate the remainder when v is divided by (209/9 - 0) + 230/(-1035).
14
Let f(q) = -125*q + 3913. Calculate the remainder when 291 is divided by f(29).
3
Suppose 3*w - 540 = 5*w - 11*w. What is the remainder when 1193 is divided by w?
53
Suppose -29736*m = -29700*m - 101052. What is the remainder when m is divided by 78?
77
Let a(s) = -s**3 + s**2 - 2*s + 23. Let f(g) = -6*g + 24. Let j be f(4). Let q be a(j). Suppose 59 = 4*l + q. What is the remainder when 11 is divided by l?
2
Let c be (5*-4)/2*12/(-24). Suppose -c*g + 30 + 5 = -5*b, g + 4*b + 13 = 0. Let s(r) = -r**2 + 9*r + 3. Calculate the remainder when s(g) is divided by 11.
10
Let x be (3/9)/((-10)/(-420)). Calculate the remainder when 137 is divided by (x - 7)*(3 - -1).
25
Suppose 9*y - 382 = -2*q + 13*y, 0 = 5*q + y - 1010. What is the remainder when q is divided by 141?
60
Let i(u) = -30*u**2 - 71*u - 45. Let w(m) = -14*m**2 - 35*m - 24. Let f(p) = -6*i(p) + 13*w(p). What is the remainder when f(-10) is divided by 21?
6
Suppose 5*p = 2*p + 39. What is the remainder when ((-3)/2)/((-6)/(-98))*(-486)/567 is divided by p?
8
Let y(o) = 11*o**3 + 13*o**2 - 25*o + 4. What is the remainder when y(2) is divided by 19?
18
Let b(y) = -2*y**3 - 23*y**2 + 8*y - 16. What is the remainder when b(-14) is divided by 61?
59
Let z = -4363 - -4533. What is the remainder when z is divided by 88?
82
Let q(s) = -16*s**3 - 22*s**3 - 1 + 7*s**3 - 3*s**2 - 2*s. Calculate the remainder when q(-1) is divided by 10.
9
Let w(h) = -h**3 + 3*h**2 - h + 7. Let k be w(6). Let n = 255 + k. Suppose -4*u - 4 + n = 0. Calculate the remainder when 69 is divided by u.
33
Let s = -712 - -868. What is the remainder when 577 is divided by s?
109
Suppose s + 3*z - 19 = 0, -4*z + 4 = 2*s - 6*s. What is the remainder when 127 is divided by (-16 - -3)/(s/(-20))?
62
Suppose 3*k = -3*j + 144, -11*k - 141 = -5*j - 5*k. What is the remainder when 17587 is divided by j?
37
Suppose 13*q - 16*q = 0. Suppose 5*z - 2*r - 47 - 98 = q, 103 = 4*z + r. Calculate the remainder when 107 is divided by z.
26
Suppose 5417 = 91*q - 24158. What is the remainder when q is divided by 219?
106
Let h = -89 - -92. Suppose h*r - 66 = -2*q + 167, -405 = -5*r + 5*q. What is the remainder when r is divided by 4?
3
Suppose s + 49 = 3*u, s = 3*u + 2*u - 79. Let t = 793 - 506. Let a = t - 247. What is the remainder when a is divided by u?
10
Suppose -w + 3*t = -173, 2*t = -4*w + 2*w + 354. Let q be w/(-12)*(-6)/4. Let d = 29 - q. Calculate the remainder when d is divided by 3.
1
Suppose 14*u + 3192 = 4*u + 8522. What is the remainder when u is divided by 3?
2
Suppose -51*g - g = -2860. What is the remainder when 540 is divided by g?
45
Let j = -64 + 107. Let g = 255 + -257. Calculate the remainder when j is divided by g/((42/(-45))/7).
13
Suppose -u = -17*s + 13*s - 5, -4*s = 4*u - 120. Calculate the remainder when 3348 is divided by u.
23
Suppose -3*i - 2*h - 18 = 0, -3*h + h + 14 = -5*i. Suppose -38 = -3*o - 8. What is the remainder when -7 - i - 2 - -43 is divided by o?
8
Calculate the remainder when 1791 is divided by 18 + (80/10 - 12).
13
Let m(n) = -3*n + 2 + 4*n - 1 + 3 + n**2. Let p be m(0). Calculate the remainder when 8/(-12)*4/(p/(-15)) is divided by 4.
2
Suppose -140*y + 15 = -145*y, 3*t + y = 756. Suppose 4*c + 2*m = 120 + 84, 5*c - 2*m - 255 = 0. What is the remainder when t is divided by c?
49
Suppose 1429 = 3*c + v, -5*v - 617 + 130 = -c. Calculate the remainder when c is divided by 91.
22
Suppose 44*g - 1297 = 683. What is the remainder when 1108 is divided by g?
28
Suppose -15*m = -72*m + 1083. Calculate the remainder when 259 is divided by m.
12
Suppose f + 731*o = 735*o + 155, -3*o = 5*f - 752. Let l = 22 + 16. What is the remainder when f is divided by l?
37
Let i(f) = 2*f**3 + 19*f - 84. Let z(g) = g**3 - g**2 - 2*g - 9. Calculate the remainder when i(4) is divided by z(4).
27
Let k = -106 + 124. Suppose -k*l + 21*l - 33 = 0. What is the remainder when 108 is divided by l?
9
Suppose 4*z - 15 = -z, 59 = -5*r + 3*z. What 