
36
Let z(f) = 4*f**3 + 41*f**2 + 21*f - 76. What is the remainder when 371 is divided by z(-9)?
91
Suppose -10314 = -150*f - 1164. Let k = 83 + -48. What is the remainder when f is divided by k?
26
Let g(p) = 3*p**3 - 247*p**2 - 162*p + 180. Calculate the remainder when g(83) is divided by 57.
56
Suppose s - 170*z = -166*z + 219, -28 = 4*z. What is the remainder when 222 is divided by s?
31
Let s(v) = -v**3 - 5*v**2 - 9*v - 16. Let x be s(-6). Suppose -x = -3*m + 10. What is the remainder when 41 is divided by (m/(-3))/((-40)/(-12) - 4)?
13
Let z(u) = 4*u**2 + 2*u - 1. Let c(d) = 4*d + 1. Let w(q) = -18*q - 226. Let m(h) = -6*c(h) - w(h). Calculate the remainder when z(-6) is divided by m(31).
29
Let t = 108 - 103. Suppose 2*n = -0*n + 3*x + 49, -4*n = t*x - 87. What is the remainder when (2 + -8 + 31)*(-16)/(-10) is divided by n?
17
Let v be 8 + -1 + 3 + -5. Let n be v*(24/1)/3. Suppose -5*t = -5*z - 0*t + n, -3*t + 67 = 4*z. What is the remainder when 38 is divided by z?
12
Let d = -2684 + 2711. What is the remainder when 350 is divided by d?
26
Let p(o) = 107*o - 548. Calculate the remainder when 605 is divided by p(7).
2
Let c = -3867 - -3887. Let i = 27 - 50. Let h = i + 121. Calculate the remainder when h is divided by c.
18
Suppose -1688 = -14*f + 5032. What is the remainder when f is divided by 22?
18
Suppose -4*a = -5*h + 289931, 14 = -5*a - 6. Calculate the remainder when h is divided by 24.
23
Let o = -876 - -879. Let c(n) = -3*n + 3 - 5 + 11*n - n**3 + 2*n**2. Calculate the remainder when 114 is divided by c(o).
10
Let q = 55 - 48. Suppose -q*u + 11*u = -2*g + 44, 0 = -u - 4. Let p = 105 + 42. What is the remainder when p is divided by g?
27
Let s be (30/5 + -46)/((-1)/2). Suppose -6*u + 296 = s. What is the remainder when 58 is divided by u?
22
Suppose 0 = -3*j - 4*n - 205 + 883, 5*j = n + 1107. Suppose 33*k - j = 75. Calculate the remainder when 29 is divided by k.
2
Suppose -6*i + 23*i - 34 = 0. Suppose -5*p - 2*t = -16, -2 - i = -3*p - 4*t. Calculate the remainder when 13 is divided by p.
1
Suppose 5*y = -5*t + 8*y - 131, y + 98 = -4*t. Suppose b = -4*w - 13, 0*w + w - 18 = 4*b. What is the remainder when 30 is divided by ((-45)/t)/((-18)/10 - w)?
3
What is the remainder when 917 is divided by (-6*404/28)/(((-24)/42)/2)?
8
Let q = -28 - -46. Suppose 0 = -3*u + 7*u - 1424. Suppose -2*x + g + 140 = -0*g, 4*g = 5*x - u. What is the remainder when x is divided by q?
14
Suppose -548*t + 549*t + 3*l - 31 = 0, 2*l = 5*t - 70. Calculate the remainder when 3149 is divided by t.
13
Suppose 4*l = -24, -l = -2*c + 7*c - 5084. What is the remainder when c is divided by 497?
24
Suppose -2*m = -3*m + 312. Suppose 4*u = 2*f + 292, -u + 5*u + 3*f = m. Calculate the remainder when u is divided by 11.
9
Let s(o) = -o**2 + 3*o + 32. Let k be s(7). Suppose 3*h = -k*n + 447, -3*n + 5*h - 7*h = -334. What is the remainder when n is divided by 4?
0
Suppose -2*f + 88 = 2*f. What is the remainder when (1429 - (16 + -24))*2/6 is divided by f?
17
Calculate the remainder when 2213 is divided by -1 + 20/22 - ((-106535)/605 - 24).
13
Let b(c) = 2*c**3 - c + 1. Let v(l) = -9*l**3 + l**2 + 3*l - 20. Let f(y) = -5*b(y) - v(y). What is the remainder when 554 is divided by f(0)?
14
Let u = 222 - 161. Let x = -50 + u. Calculate the remainder when 65 is divided by x.
10
Let t(r) = 46*r - 365. Calculate the remainder when 181 is divided by t(9).
34
Suppose 18394 = 2*v + 30*i - 35*i, 4*i = 24. Calculate the remainder when v is divided by 34.
32
Suppose 210*u - 110*u = 128*u - 5460. What is the remainder when u is divided by 69?
57
Suppose -d - 12136 = -h, -h + 16686 = -2*d + 4556. What is the remainder when h is divided by 184?
182
Let j be ((-6)/4)/(3/(-10)). Suppose j*u = u - 3*o + 22, 5*o = 10. Suppose -4*v + 0*v = -5*w + 82, 12 = -u*v. Calculate the remainder when w is divided by 4.
2
Let c(h) = h**3 + 14*h**2 + 24*h. Let u be -9 - (39/12 + 5/(-20)). Let a be c(u). Let m(o) = o**2 + 8. Calculate the remainder when 29 is divided by m(a).
5
Let t(o) = 4*o**3 - 20*o**2 + 22*o - 4. Calculate the remainder when 109 is divided by t(5).
3
Suppose -8*k - 22 + 334 = 0. Suppose 5*r + 6 = 6*r. Suppose 2*s - r - 14 = 0. What is the remainder when k is divided by s?
9
Suppose -13394 = 189*o - 224*o + 1201. What is the remainder when 1160 is divided by o?
326
Let o(u) be the third derivative of u**5/60 - 2*u**4/3 + 38*u**3/3 - 204*u**2. Calculate the remainder when o(27) is divided by 34.
33
Suppose -4*v + 132 + 804 = 0. Let k = 1742 - 1708. What is the remainder when v is divided by k?
30
Let t(i) = i**2 - 3*i + 1. Let a(l) = -l**3 + 5*l**2 + l - 1. Let f be a(5). Calculate the remainder when f*((-63)/4)/(-9) is divided by t(4).
2
Suppose b + 3 = 8. Suppose 3*j = 4*n - 0*n + 8, 3*j + b*n = 17. What is the remainder when 81 is divided by 48/12*21/j?
18
Let l(v) = -2*v. Let f be l(-1). Let g be 17 - f/(-1) - -2. What is the remainder when 142/7 + -2*3/g is divided by 12?
8
Suppose 0 = -2*t - 6, -3*r = 3*t - 8*t - 537. Let w = -24570 + 24578. Calculate the remainder when r is divided by w.
6
Suppose -26*l + 953 - 116 = -177. Let n = 10 + -4. What is the remainder when l is divided by n?
3
Let x be (8 + 414/(-45))*(-10)/3. Calculate the remainder when (x/(-8))/(4/216*-1) is divided by 2.
1
What is the remainder when 428 is divided by 320/(-360) + (-9228)/(-54)?
88
Suppose 24*j = -75*j + 275715. Calculate the remainder when j is divided by 82.
79
Let h = 327 + -322. Suppose 0 = -h*v + 65. What is the remainder when 29 is divided by v?
3
Let g(d) = -28*d - 8. Calculate the remainder when g(-30) is divided by 27.
22
Let b = -5164 + 5769. What is the remainder when b is divided by 152?
149
Suppose 6 = o - z, 7*z - 19 = -4*o + 10*z. Let w(q) = -5*q - 21. Suppose 3*d - 2 = -17. What is the remainder when w(d) is divided by o?
0
Suppose -5*s + 3*s + 2 = 0, s - 185 = -4*x. Suppose 6*k - 453 = 585. What is the remainder when k is divided by x?
35
Let m = -11000 - -11018. What is the remainder when 1205 is divided by m?
17
Suppose r - 67 - 131 = 2*n, 1002 = 5*r - 4*n. What is the remainder when r is divided by 33?
4
Suppose -h + 142 = 5*k, -4*h + 9*h - 758 = -k. What is the remainder when h is divided by (-3 + 6)*(-260)/(-15)?
48
Let i = -3079 - -3661. Calculate the remainder when i is divided by 112.
22
Suppose -3*b + 0*b + 2*r = -15069, 2*b - 4*r = 10054. What is the remainder when b is divided by 201?
197
Let k(y) = -y**3 - 13*y**2 - 33*y - 5. Calculate the remainder when k(-13) is divided by 12.
4
What is the remainder when 332 is divided by 16*1 - (-5256)/18?
24
Suppose 4*f - 7 = -3*x, -2*f - 20 = 3*f - 2*x. Suppose 124 = -104*l - 188. What is the remainder when f + 18/2 + l is divided by 4?
0
Let r(q) = -51*q - 47. Let s(t) = -t**3 - 12*t**2 - 20*t - 4. Let x be s(-10). Calculate the remainder when r(x) is divided by 40.
37
Let i(t) = -19*t - 169. Let x be i(-9). What is the remainder when 46 - 0/(5/5 - x) is divided by 30?
16
What is the remainder when (-93)/18 + 5 + 300195/54 is divided by 54?
51
Let p = 12 + -7. Let g = p + 21. Calculate the remainder when (-10)/30 + (-458)/(-6) is divided by g.
24
Let m = -766 - -2376. What is the remainder when m is divided by 62?
60
Suppose 155*y - 1618 = 10782. Let t = 9 - 0. What is the remainder when y is divided by t?
8
Let v be (-4)/6 - -1244*1/(-6). Let w = -175 - v. What is the remainder when w is divided by 12?
9
Let c(y) = -9*y**2 + y - 34. Let b(m) = 2*m**2 + m. Let u(f) = -5*b(f) - c(f). Let z(x) = 26*x. What is the remainder when z(1) is divided by u(-8)?
8
Suppose -3*l - h = 31, 0*l + 14 = -l - 4*h. Calculate the remainder when 183 is divided by 15/l + 3 + 774/12.
51
Suppose 1057 - 143 = 117*x - 841. Calculate the remainder when 43 is divided by x.
13
Suppose -8209*i = -8201*i - 344. Calculate the remainder when 288 is divided by i.
30
Suppose 58*j - 375 = 57*j + 4*f, 2*j = -6*f + 694. Calculate the remainder when j is divided by 0*3/(-12) + 8.
7
Let j(p) = p**2 + 291*p + 13002. Let h(g) = -15*g - 8. What is the remainder when h(-6) is divided by j(-236)?
16
Suppose 12*t - 11*t = 4, c + 27 = 4*t. Let j(i) = i**3 + 13*i**2 + 14*i - 42. What is the remainder when j(c) is divided by 3?
1
Let v(l) = -286*l + 4. Let q be v(-2). Le