- 64. Let l(j) = -j**2 + 10*j - 10. Let r be l(6). Suppose -r = -4*g + 3*s + 20, g - 8 = s. What is the remainder when 76 is divided by t(g)?
24
Suppose -4*v = -3*v. Suppose 3*j - j - 4 = v. Suppose -3*i + 4*h + 29 = 0, -j*i - 4 = -5*i - h. Calculate the remainder when 8 is divided by i.
2
Let r(b) = 2*b + 2. Let z(y) = -y**3 - 28*y**2 + 27*y + 83. What is the remainder when z(-29) is divided by r(7)?
13
Let w(y) = 4*y**2 + 15*y + 59. Calculate the remainder when w(9) is divided by 73.
7
Suppose 630 = 83*d - 25*d - 7432. Calculate the remainder when d is divided by 11.
7
Suppose 8 = -4*o, -o + 1 = -2*v - 11. Let m = 29 + -6. What is the remainder when (14/(-4))/v*(-10 - -330) is divided by m?
22
Let v(l) = l**3 - 9*l**2 + 13*l - 29. Let q be v(9). Let i = q - 77. Let a = 48 + -7. What is the remainder when a is divided by i?
8
Let i(f) = -26*f + 27. Calculate the remainder when i(-10) is divided by 6.
5
Suppose 5*g = -2*n - 2*n + 665, 0 = -g + n + 142. Calculate the remainder when g is divided by 73.
64
Let y(d) = -303*d + 5924. Calculate the remainder when 1682 is divided by y(19).
12
Suppose 294 = 4*v - 6*m, 3*v - 378*m - 288 = -381*m. Suppose 6*b - 43 = -l + b, 122 = 4*l - 5*b. Calculate the remainder when v is divided by l.
21
Let z(i) = -i**2 + 8*i - 1. Let p be z(7). Let v = 12 - p. Let d(m) = -118*m - 1292. What is the remainder when v is divided by d(-11)?
0
Suppose -5*j = -2463 + 413. Suppose 4*x - j - 142 = 0. What is the remainder when x is divided by 24?
18
Suppose 21*c + 10 = 26*c. Let h(b) = -12*b**c - 62 + 57 - 6*b + 4*b - b**3. What is the remainder when 188 is divided by h(-12)?
17
Let f = -654 + 658. Calculate the remainder when (f + -7)*2238/(-18) is divided by 42.
37
Suppose 0 = 2*w + 4*i - 150, 2*w + 77 = 2*i + 227. Let h(t) = 9*t - 5. What is the remainder when w is divided by h(4)?
13
Suppose -82*y + 87*y = z - 24, 0 = 3*z - 3*y - 84. Suppose -z = -6*u - 5. What is the remainder when 59 is divided by u?
3
Suppose -2*k = -4*f - 18, 0*k + 2*k - 6 = -2*f. Suppose 5*n - 5*a = -10*a + 60, -k*n + 72 = 2*a. What is the remainder when n is divided by 56/6 - 3/9?
7
Suppose -5*r + 15 + 0 = 0. Suppose r*k + 0*v - 208 = 5*v, 3*k + v = 178. Suppose -4*g + k = 21. What is the remainder when 38 is divided by g?
8
Suppose 0 = 119*t - 124*t - 25, h - 704 = -2*t. Calculate the remainder when h is divided by 90.
84
Calculate the remainder when -204*((-288)/(-2160) + (-884)/30) is divided by 41.
39
Let s(j) = 180*j**2 - 133*j - 134. What is the remainder when 572 is divided by s(-1)?
35
Suppose 0 = 89*q - 50*q - 15600. Calculate the remainder when 1217 is divided by q.
17
Suppose 4*g + 5*r - 525 = 0, -3*r = -g - 2*r + 129. Suppose 350 + g = 24*y. What is the remainder when 98 is divided by y?
18
Suppose 6*j - 8*j + 8 = 0. Suppose -2*r - r + 69 = w, j*r + 128 = 2*w. Suppose 0 - 4 = -4*x, -4*x - w = -5*v. Calculate the remainder when 40 is divided by v.
12
Let y(p) = 57*p + 15. Let f be y(8). Let x = -103 + f. Suppose -10*q - 118 = -x. What is the remainder when 48 is divided by q?
23
Suppose 0 = p - 10*z + 9*z + 2, -2*z - 11 = 3*p. What is the remainder when ((-84)/(-30) + p)/((-2)/470) is divided by 34?
13
Suppose -14*f - 7314 = 9*f. Let v = f + 333. What is the remainder when 47 is divided by v?
2
Let f(g) = g**3 + 7*g**2 + 5*g + 31. Let r be f(-7). Let i(s) = 13*s**2 - 2*s + 10. Calculate the remainder when i(r) is divided by 19.
17
Let y(u) = 12*u. Let a be -1 - ((-26)/10 + (-26)/65). Suppose 0 = -q + 3*l + 10, -a*q - 11 = -5*l - 33. What is the remainder when y(5) is divided by q?
12
Let i(m) = -70*m - 2021. Calculate the remainder when 3068 is divided by i(-29).
8
Suppose -3*i + 16 - 13 = 0. Let b be (-6 - -5)*i*-42. Suppose b = 3*d - 9. What is the remainder when 82 is divided by d?
14
Calculate the remainder when 2396 is divided by -400*(-4)/7*(1695/(-150) + 12).
156
Suppose -r + 4*x = -35, -5*r + 62*x + 121 = 60*x. What is the remainder when 1149 is divided by r?
22
Let k be (20/(-14))/(90/(-5292)). Let y be 96 + -1*-2*1. Let o = y - k. Calculate the remainder when o is divided by 10.
4
Let o = 8205 + -8067. What is the remainder when 248 is divided by o?
110
Let d(w) = -w. Let h(z) = -2*z**2 - 42*z + 88. Let r be h(-20). Suppose r - 398 = -10*n. What is the remainder when n is divided by d(-6)?
3
Let i = 41571 - 41564. Let l(w) = -8*w - 1. Calculate the remainder when l(-4) is divided by i.
3
Suppose -24*m - 8*m - 4221 = -51421. Calculate the remainder when m is divided by 57.
50
Suppose l = 11*l - 30. Suppose b + 0*p - 26 = l*p, 0 = -b - 4*p + 40. Calculate the remainder when 108 is divided by b.
12
Suppose -2364*t = -2375*t + 209. Calculate the remainder when 2868 is divided by t.
18
Let i = -184 + 194. What is the remainder when (3/i*4)/((-68)/(-1870)) is divided by 29?
4
Let a be (-15)/((-90)/(-12)) - -863. Suppose 2*h - a = -h. What is the remainder when h is divided by 58?
55
Let z = -12187 - -12824. Calculate the remainder when z is divided by 21.
7
Suppose 44*u - 145 = 41*u - 2*x, -3*u - 5*x = -151. Calculate the remainder when 117 is divided by u.
23
Let c be -6 + -33*(-2 + 1). Suppose 540 = 31*p - c*p. Calculate the remainder when p is divided by 34.
33
Let u = 9764 - 9205. What is the remainder when u is divided by 178?
25
Let w = -31 + 135. Suppose 2*z = -4*l + 30, -3*l + 18 - 9 = 0. What is the remainder when w is divided by z?
5
Suppose 4*c + 428 = 2*o + 3*o, -5*o - 4*c + 452 = 0. What is the remainder when 116 is divided by 375/12 + 66/o?
20
Let n = -4423 + 4816. Calculate the remainder when n is divided by 36.
33
Let z(f) = -f**3 + 12*f**2 - 26*f. Suppose 5*w - 6 - 54 = -5*h, 5*h - 36 = 3*w. What is the remainder when 34 is divided by z(h)?
7
Let v be (-2 - 30/(-24))/(6/(-16)). Suppose 0 = 5*z - a - 310, -4*a + 11 = v*z - 113. Calculate the remainder when z is divided by 4.
2
What is the remainder when 17 is divided by (21/(-12))/((-42)/168)?
3
Suppose -2940 = 25*c - 109*c. What is the remainder when 302 is divided by c?
22
Let z = 149 + -147. Suppose 0 = 2*r - r + 5*y - 11, -z*r + 22 = 3*y. Suppose -28 = -4*h + 4. Calculate the remainder when r is divided by h.
3
Suppose -5*u + 39 = 14. Let t(l) = -6*l - 1 + u*l - 9 + 3*l. What is the remainder when t(11) is divided by 8?
4
Let j = 377 + -131. Let b = -150 + j. Calculate the remainder when b is divided by 50.
46
Let h = -91 + 103. Let l be (3/h)/(5/(102 + -2)). Suppose -l*v - 2*o = -0*o - 177, 3*o = 5*v - 197. Calculate the remainder when 183 is divided by v.
35
Suppose 4*v = 2*v - 3*p + 929, -5*v - p = -2342. Suppose 5*z - 5*y + y - v = 0, 5*y - 20 = 0. What is the remainder when z is divided by 3?
1
Let d = -875 - -1494. What is the remainder when d is divided by 49?
31
Suppose -77*u - 57*u = -30*u - 1352. Let q be (6 + 0)/((-2)/(-16)). Let x = q + u. Calculate the remainder when x is divided by 16.
13
What is the remainder when 7487 is divided by (-102)/(-10) + 2 + (-252)/(-315)?
12
Suppose -31*d + 43*d - 84 = 0. Let s(v) = -9*v + 100. Calculate the remainder when 66 is divided by s(d).
29
Let s(a) = -a**3 - 17*a**2 - 14*a + 38. Let f be s(-16). Calculate the remainder when 137 is divided by (0 - -8) + f + (1 - -1).
9
Let u be (-2)/3 - 7484/(-3)*1. Suppose 0 = -21*a - 37 + u. What is the remainder when a is divided by 17?
15
Let k(j) = 2*j + 1. Suppose -4*d - 5*h + 315 = 0, -303 = -4*d - 27*h + 26*h. What is the remainder when d is divided by k(5)?
9
Let p = 17 - 11. Suppose 0 = 5*m - 3*d - 6 - 33, 4*d + p = -m. Suppose 258 = -90*x + 978. What is the remainder when x is divided by m?
2
Suppose -15*f + 150 = 56 - 71. What is the remainder when 40 is divided by f?
7
Let f = 8703 + -8585. Calculate the remainder when f is divided by 21.
13
Suppose 3*c = 8*c - 30. Let v(q) = q**3 - q**2 - 9*q - 4. Let u be v(-2). Calculate the remainder when c is divided by (-1116)/(-310) - u/(-5)*1.
2
Suppose i + i - y = -298, -4*i - 596 = y. Let l = -110 - i. What is the remainder when l is divided by 8?
7
Suppose 4*d - 3 = 5*d - 5*n, 3*n - 9 = 0. Let k(i) = -13*i**3 - 4*i**2 + 4*i + 14. Calculate the remainder when k(-2) is divided by d.
10
Suppose -9*o = 5*v - 5*o - 444, 2*v - 2*o - 156 = 0. What is the remainder when 3107 is divided by v?
83
Suppose -66 = f - 4*i, 19*f + 2