. Let n = 82 - 35. Calculate the remainder when w is divided by n.
45
Let v(i) = 179*i + 58. Calculate the remainder when v(17) is divided by 9.
5
Suppose 19 = 4*d - 129 + 16. What is the remainder when d is divided by 22?
11
Let c(w) = -1 + 0*w - 2*w + 0*w + 37*w**2. Suppose 473*n - 92 = 468*n + 4*g, g + 58 = 3*n. Calculate the remainder when c(-1) is divided by n.
18
Calculate the remainder when 784 is divided by (-714 + 18)/(-24) - (1 - -6).
14
Suppose -17*h + 4345 + 636 = 0. Let m = h - 258. Suppose 0 = 3*j + p - 51 - 10, 0 = -4*j + 2*p + 78. Calculate the remainder when m is divided by j.
15
Let h(k) be the second derivative of 2*k**3/3 - 13*k**2/2 + 19*k. Calculate the remainder when h(4) is divided by 7/1 - (29 - 24).
1
Let s(q) = -q**3 - 4 - 36*q - 9 + 6*q**2 + 14 + 19*q + 10*q. What is the remainder when 271 is divided by s(3)?
5
Let m(i) = i**3 + 10*i**2 + 11*i + 40. Let o = -478 + 473. Calculate the remainder when 219 is divided by m(o).
109
Suppose 1823 = 20*s + 104 - 3741. Suppose 2*i = 2*f + 114, 0 = -4*i + 2*i + 5*f + 120. What is the remainder when s is divided by i?
53
Calculate the remainder when 2/(-11) + (-77113)/(-77) + (-466)/1631 is divided by 14.
7
Suppose 3*i + 86 = 2*w, -5*i + 9 + 8 = w. Calculate the remainder when 329 is divided by w.
33
Let c(r) = r**3 - 3*r**2 - r - 8. Let o(z) = -3*z + 1. Let f be o(-1). Calculate the remainder when 18 is divided by c(f).
2
Suppose -134 = 34*n - 4758. What is the remainder when 308 is divided by n?
36
Let h(i) = 11*i**2 - 312*i + 150. What is the remainder when 99 is divided by h(28)?
23
Let v(c) = 3*c**2 + 4*c - 2. Suppose -3*a = 4*z + 26, 5 = z - 4*a - a. Let j be v(z). Let d = -34 + j. What is the remainder when 53 is divided by d?
15
Suppose -1651 = 17*n + 2259. Let p = 236 + n. Suppose h = 4 - 0, -h = 5*c - 19. Calculate the remainder when p is divided by c.
0
Let i = 23228 + -23090. Calculate the remainder when 562 is divided by i.
10
Calculate the remainder when (24904/(-16))/(-11)*(1 - -3) is divided by 57.
53
Suppose q - 190 = -44*q + 7*q. What is the remainder when 314 is divided by q?
4
Suppose -3*b - 3*t + 33 = -84, -2*b + 78 = 5*t. What is the remainder when 333 is divided by b?
21
Calculate the remainder when 3885 is divided by (1 - (-295)/(-25))*(-50)/30.
15
Let r = -3432 + 6142. Calculate the remainder when r is divided by 113.
111
Let r = 151 - 612. Let s = -450 - r. Suppose 3 = m - 3. Calculate the remainder when s is divided by m.
5
Suppose -2*p + 210 = 5*p. Suppose 6 = w - 5*r, 0 = -4*w - r + 17 + 70. Calculate the remainder when p is divided by w.
9
Let a = -206 + 202. Let n(i) = -40*i - 93. What is the remainder when n(a) is divided by 36?
31
Let c(i) = -60*i - 859. What is the remainder when 2004 is divided by c(-15)?
36
Suppose 58*x - 115*x = -171. Calculate the remainder when 590 is divided by x.
2
Calculate the remainder when 351 is divided by ((-1)/(-2)*1320/275)/((-4)/(-225)).
81
Let q = 447 + -334. Suppose -q*v + 108*v + 25 = 0. What is the remainder when 42 is divided by v?
2
Let z = 153 + -92. Let f = -47 + z. Calculate the remainder when 26 is divided by f.
12
Let k(m) = 12*m - 122. Calculate the remainder when k(25) is divided by (0 - 18/15)*(-870)/29.
34
Let x be 2 + (-81)/(-5) - 1/5. Suppose 0 = 7*w - 46 + x. Let f(a) = a**3 - 11*a**2 - 11*a - 7. What is the remainder when f(12) is divided by w?
1
Let h(o) = 4*o**2 + 358 - 360 + 10*o**2 - 4*o. Suppose 0 = 7*s + 13 - 6. What is the remainder when h(s) is divided by 10?
6
Let q(x) = -402*x - 5. Let w be q(-4). Let o = 65 + -45. Calculate the remainder when (-4)/(-14) - w/(-49) is divided by o.
13
Suppose 192 = 3*g - a, -3*a + 116 - 377 = -4*g. What is the remainder when 79 is divided by g?
16
Let n(v) = 6*v + 194. Let u be n(-32). Suppose -8*g + 4*g + u*l + 46 = 0, 0 = -5*l + 25. Calculate the remainder when 83 is divided by g.
13
Suppose 5*p + 564 = 4*v, 5*v + 297 - 1012 = 5*p. Calculate the remainder when 641 is divided by v.
37
Let r be 3 + (-5)/(-3) + 2/(-3). Let j be r/(-1) - 8/(-1). Suppose -j*t + 2*c = -42, -4*t + 0*c - 5*c = -21. Calculate the remainder when t is divided by 3.
0
Let o(r) = -15*r + 142. Calculate the remainder when 449 is divided by o(9).
1
Suppose 24*j - 21*j = -18, o - 36 = 2*j. What is the remainder when 215 is divided by o?
23
Suppose 4 = -2*t, 1 - 71 = -3*g - 4*t. Calculate the remainder when 151 is divided by g.
21
Suppose -15 = 4*k - 3. Let h be (-1)/(-3) + (-2)/k - 24. Let i = 69 + h. Calculate the remainder when i is divided by 14.
4
Let w(y) = -33*y**3 - 28*y**2 + 51 - 30*y**3 - 34*y + 64*y**3. Let t be w(29). What is the remainder when (t/(-14) + 1)/(3/21) is divided by 7?
5
Let a = 11552 + -11265. Calculate the remainder when a is divided by 108.
71
What is the remainder when ((-244)/3)/(362/(-4887)) is divided by 20?
18
Suppose -5*k - 128 = -18. Suppose -4*i = -2*f - f - 963, -f = -5*i + 1201. What is the remainder when i is divided by 2*(-2)/4*k?
20
Suppose 684 = f - 36. Let c = f - 588. Calculate the remainder when c is divided by 67.
65
Let c = -22328 + 22585. Calculate the remainder when 8479 is divided by c.
255
Let g = 10 + 28. Let n(a) = 17*a - 1021. What is the remainder when g is divided by n(61)?
6
Let y = 1803 + -1332. What is the remainder when y is divided by 83?
56
Suppose 3*u = f - 21 + 7, 0 = 5*u + 5. Let w be -2*-6*4/6. Suppose -4*y = -w*y + 12. What is the remainder when f is divided by y?
2
Suppose -k + 220 - 216 = 0. Suppose -2*j + 0*j + 5*c = -55, 41 = j + 2*c. Suppose h + 4*h = j. Calculate the remainder when h is divided by k.
3
Suppose 4*k - 71 = 5. Suppose 3*f = o - 61, -f + o - 19 = -2. Let g(x) = -2*x**2 - 45*x + 32. What is the remainder when g(f) is divided by k?
16
Let m(d) = 4*d**2 - 15*d - 2 - d**3 + 0*d**2 - 19*d**2. Suppose 0 = -28*h + 20*h - 112. What is the remainder when 33 is divided by m(h)?
9
Let x(z) = 7*z**3 - 53*z**2 + 30*z + 19. Let k(m) = m + 4. Let a be k(-3). Let v = a + 8. What is the remainder when x(7) is divided by v?
6
Let r(s) = -s**3 - 59*s**2 + 17*s + 1024. Let m = 14 - -26. What is the remainder when m is divided by r(-59)?
19
Let q(d) = -6*d - 11. Let p(x) = 5*x + 12. Let y(s) = -3*p(s) - 2*q(s). What is the remainder when 135 is divided by y(-20)?
43
Suppose -6*w = -60 + 348. Let y = -48 - w. Suppose -7*v + 56 + 14 = y. Calculate the remainder when v is divided by 5.
0
Suppose -14769 = -5*d - 4*s, 270*s + 24 = 274*s. What is the remainder when d is divided by 18?
15
Suppose 6*t = -1798 + 10066. Suppose -k = 12*k - t. What is the remainder when k is divided by 4*(-2)/(-20)*45?
16
Let v = 43136 + -43122. What is the remainder when 1842 is divided by v?
8
Let f(m) = m**2 + 5*m + 302. Calculate the remainder when f(-24) is divided by 153.
146
Suppose -2*b + 4*k = -850, -2*b + 5*k + 843 = -0*k. What is the remainder when b is divided by 85?
14
Suppose -u = z - 243, 3*z - 354 = 5*u - 1585. What is the remainder when u is divided by 82?
81
Let c = 67 - 63. Calculate the remainder when (-134)/12*(1 - c)*2 is divided by 18.
13
Suppose 0 = -5*q - z + 35, -4*z + 2 = -3*q - 0*z. Suppose -q*c - 195 + 783 = 0. What is the remainder when c is divided by 25?
23
Suppose 63 = 4*o - 33. Let z(q) = -29*q + 27. Let x be z(-1). Suppose 2*u - 32 = x. Calculate the remainder when u is divided by o.
20
Let x = 4976 - 4850. Calculate the remainder when 619 is divided by x.
115
Let g = 8217 + -8148. Let n be (-1)/(2/(-20)*2). Suppose 0 = n*m - 184 + 4. Calculate the remainder when g is divided by m.
33
Let k = 20672 + -19861. Calculate the remainder when k is divided by 121.
85
Suppose -5*k - 306 = -66. Let z = 103 + k. What is the remainder when z is divided by 14?
13
Suppose 66*z - 1049 = -2*v + 65*z, 3*z + 21 = 0. Calculate the remainder when v is divided by 46.
22
Let w(j) = 516*j**2 + 722*j - 16. Calculate the remainder when w(-7) is divided by 152.
150
Suppose 277*t - 9728 = 2737 - 554. Calculate the remainder when 366 is divided by t.
22
Suppose -9 = 3*c - 6. What is the remainder when 79 is divided by (-90 - 5)/(-5) + (0 - c)?
19
Suppose -2*i = -2*w - 296, -3*i + 476 = 4*w + w. Suppose -3*s - 2*q = 233, 80 = 3*s + 3*q + 317. Let p = s + 92. Calculate the remainder when i is divided by p.
16
Let a(y) be the second deri