d by 51.
48
Suppose -48*i - 51 = -3*u - 44*i, -80 = -5*u + 5*i. What is the remainder when 1285 is divided by u?
11
Let j be (-2 - 7)*-1*(1 - -25). Suppose -j = n - 6*n - 4*i, -4*n + 4*i + 216 = 0. Calculate the remainder when n is divided by 13.
11
Let r(t) = 13*t - 371. What is the remainder when 310 is divided by r(29)?
4
Suppose 21 = 6*y + 3. Let b be 4/(-5)*(-25)/(-30)*y. What is the remainder when b + 3 + 112 + 15 is divided by 43?
42
Let l = -12712 - -12741. What is the remainder when 2231 is divided by l?
27
Let d = 1129 + -1059. Calculate the remainder when 6019 is divided by d.
69
What is the remainder when 135/2*4/2 is divided by -2 + (-16)/(-2) + 26?
7
Let n = -19 - -16. Let t be 9/3 - (-12 + n). Suppose 0 = 2*i + 3*i - 20, 4*i = 2*a - t. What is the remainder when 33 is divided by a?
16
Let p(d) = -d**3 - 5*d**2 + 5*d + 9. Let k be ((-85)/(-34))/(2*3/(-144)). Calculate the remainder when (-7)/(7/k) - 10/5 is divided by p(-6).
13
Let h = 27564 + -27534. Suppose 5*k - 19 = -o + 106, 4*k = 3*o + 119. What is the remainder when h is divided by k?
4
Let t be 2/(-10) + 2544/(-30). Let h = -8 - t. Calculate the remainder when h is divided by 41.
36
Suppose 0 = 2*i + 3*r + 518 - 1095, 5*r = -5. What is the remainder when i is divided by 66?
26
Suppose -g + 2*w + 120 = -2*w, 4*g = -3*w + 575. What is the remainder when g is divided by 50?
40
Let d(u) = -8*u - 41. Let f be d(-6). Suppose 106 = -f*v + 218. What is the remainder when 127 is divided by v?
15
Calculate the remainder when -5 + 0 - (230 - 895) is divided by 158.
28
Suppose 2*j - 14 + 10 = 0. Let b be j/(8/(-34))*(-3 - 1). Let c = 39 - b. What is the remainder when c is divided by 3?
2
Let u(w) be the second derivative of -107*w**3/6 + 27*w**2/2 - 52*w. What is the remainder when u(-1) is divided by 34?
32
Suppose -3*a = -561*l + 565*l - 70, -3*a + 65 = -l. Calculate the remainder when 1507 is divided by a.
11
Suppose -g = 5*r - 4, -2 = -g - 4*r + 2. Let m = 22 + g. Suppose -c + m = -s, 3*c - s = -24 + 96. Calculate the remainder when 90 is divided by c.
21
Let k be -12*(0 - (-4)/(-8)). Suppose -227 - 167 = -5*d + 4*i, -4*i - 148 = -2*d. Calculate the remainder when d is divided by (2/k)/(3/153).
14
Let r = 7 - 31. Let d = -21 - r. Calculate the remainder when (d/9)/(2/162) + 3 is divided by 8.
6
Suppose -18*n - 133 + 497 = -68. Suppose -2*q + 4*o + 253 = -o, 0 = 5*q + 4*o - 682. Let l = q - 91. What is the remainder when l is divided by n?
19
Suppose -3*d - 269 = -5*o, 5*d = -2*o - 2*o + 193. Calculate the remainder when o is divided by 16 - ((-70)/5 + 2).
24
Let m = 1060 - 836. Suppose 237*y - 364 = m*y. What is the remainder when y is divided by 16?
12
Suppose i + 8 - 1 = 4*g, -2*i + 5*g = 5. Suppose -12*x + i*x + 133 = 0. Let p = 42 - x. What is the remainder when p is divided by 3?
2
Suppose 4*b + 10 = 5*g, g - 12*b + 14 = -8*b. Calculate the remainder when 6310 is divided by g.
4
Suppose 5*b - 45 = 165. Suppose 0 = -b*y + 44*y - 112. Suppose h + y = 3*h. Calculate the remainder when h is divided by 8.
4
Suppose 226*l - 231*l + 16 = -w, -w - l + 14 = 0. What is the remainder when 2429 is divided by w?
8
Suppose 2*a - 86 = 4*k, -69 = -6*k + 9*k - 3*a. What is the remainder when 67 is divided by ((-15)/k - 1) + 377/52?
4
Suppose -2*t + 1865 = r, -7*r - 1880 = -2*t - 13*r. What is the remainder when t is divided by 87?
61
Let c(t) = t**3 + 10*t**2 - 4*t + 9. Calculate the remainder when 290 is divided by c(-10).
45
Let h = -42 - -50. Suppose -5*n - 3*x = x - 30, -2*x = -n - h. Suppose 2*i - 32 = -n. What is the remainder when i is divided by 8?
7
Let b(m) = 2*m**3 + 36*m**2 - 42*m - 52. Calculate the remainder when 2114 is divided by b(-18).
2
Let u(a) = a**3 + 6*a**2 - 39*a - 208. What is the remainder when u(-6) is divided by 10?
6
Let i(r) be the second derivative of -10/3*r**3 + 0 - 16*r - 1/12*r**4 - 10*r**2. Calculate the remainder when i(-17) is divided by 12.
7
Let w = -201 + 191. Let c(y) = -y**3 - 11*y**2 - 14*y - 4. Calculate the remainder when 138 is divided by c(w).
30
Suppose -2613 - 3830 = -16*l + 277. What is the remainder when l is divided by 74?
50
Let t = 3486 + -3460. Calculate the remainder when 175 is divided by t.
19
Let k(i) = 2*i + 18. Let h be (-6)/69 - 1768/299. Calculate the remainder when 99*(8/12)/2 is divided by k(h).
3
Let j(i) = -2*i + 18. Let y(b) = 2*b - 1. Let c be y(-8). Let w be (-2)/(4/c) + 33/(-22). What is the remainder when 9 is divided by j(w)?
1
Suppose -4*p - o + 6 = 0, 5*o - 2*o - 4 = 2*p. What is the remainder when 25 is divided by p*42/(24/4)?
4
Let v(f) = 2*f**3 - 24*f**2 - 2*f + 99. Calculate the remainder when 746 is divided by v(12).
71
Let l(v) = 5*v**2 - 6*v - 2. Let k be l(2). Suppose -k*x - 49 - 5 = 0. Let z = x + 25. Calculate the remainder when 46 is divided by z.
14
Suppose -5*q + 8 = 13, 5*t - 3*q - 348 = 0. Suppose 4*m + 382 - 1182 = 0. What is the remainder when m is divided by t?
62
Let s(b) = -b**3 - 6*b**2 + 3*b. What is the remainder when s(-7) is divided by (1342/55 - 11) + (-4)/10*1?
2
Let q(c) = 15*c - 103. Suppose 0 = -14*z + 3*z + 88. Calculate the remainder when 34 is divided by q(z).
0
Let s = -60 + 115. Suppose -2*a = b - s, 0*b - b + 105 = 4*a. Calculate the remainder when 81 is divided by a - 20/(15/(-3)).
23
Suppose -o = 5*g - 566, -4*o = -4*g - 33 + 481. What is the remainder when g is divided by 46?
21
Suppose 0 = -11*z - 2*z + 286. Suppose 0 = -2*q + 5*w + 83, -2*q + 73 = -0*q + 5*w. What is the remainder when q is divided by z?
17
Let o = -35 - -148. Suppose -31 = 5*c + 149. Let i = -7 - c. Calculate the remainder when o is divided by i.
26
What is the remainder when 1526 is divided by -2 - (5 + 0 + 2 - 3591/7)?
14
Suppose 0*g + 1527 = -3*g. Let a = g - -523. Calculate the remainder when 107 is divided by a.
9
Suppose -4*m + 4*f + 616 = 0, -162*m + 777 = -157*m + 2*f. Suppose 0 = -2*g - 28 + 190. Calculate the remainder when m is divided by g.
74
Let j(r) = 11*r + 31. Let d(l) = l**3 + 14*l**2 - 16*l + 18. Let w be d(-15). Suppose -11*c = -10*c - w. What is the remainder when j(9) is divided by c?
31
Suppose 3*l - 135 = f, -f - 476 + 561 = 2*l. Calculate the remainder when 3210 is divided by l.
42
Suppose 5*z = 525 + 943 + 407. Calculate the remainder when z is divided by 4.
3
Let h be (4/(-8))/((-5)/(-20)). Calculate the remainder when -2 + h + 95 - (1 + -3) is divided by 12.
9
Let w(r) = -r**3 - 4*r**2 - 5*r + 13. Let u be w(3). Calculate the remainder when (2678/u)/(4/(-10)) + 0 is divided by 36.
31
Let x(i) = i**2 + 4*i + 164. Calculate the remainder when x(5) is divided by 197.
12
Suppose -6*d - 5 = -47. Suppose 0 = d*l - 3*l - 84. What is the remainder when l is divided by ((-16)/(-21))/(-8) + (-3025)/(-231)?
8
Let x be (5 + -1)*20/8. Suppose x*z - 2*z = 48. Calculate the remainder when 20 is divided by z.
2
Suppose -5*y - 5*q = 0, -6*y - 4*q - 66 = -72. Let a(c) = -c**3 + 6*c**2 + c - 1. What is the remainder when a(6) is divided by y?
2
Suppose -24*j + 20 = -23*j - 2*c, 4*c = 3*j - 60. What is the remainder when 137 is divided by j?
17
Suppose z - 38 - 11 = 0. Let f(m) = 3*m**2 + 20*m - 13. Let o be f(-9). Suppose 10*k - 15*k = -o. What is the remainder when z is divided by k?
9
What is the remainder when 8342 is divided by 9/180 + 5742/1160?
2
What is the remainder when 68 is divided by ((-368)/36)/((-2)/9)?
22
Let n(d) = d**3 + 6*d**2 - d - 8. Let m be n(-5). Suppose -m*q + 396 = -11*q. Calculate the remainder when 95 is divided by q.
23
Calculate the remainder when 1265/46*(-3)/(60/(-1168)) is divided by 799.
8
Let n(q) = 13*q**2 - 9*q + 10. Suppose 3*v - 3 = 3*f, -3*f = -v - 0*v - 1. Calculate the remainder when 866 is divided by n(f).
12
Let b(c) = -12 + 30*c + 31*c - 110*c + 34*c. What is the remainder when 56 is divided by b(-3)?
23
Suppose 0 = -u + 1, -4*v - u + 5599 = 2*u. Suppose -5*a = -v + 404. Let n(l) = 13*l**2 - 2. What is the remainder when a is divided by n(-2)?
49
Let x(d) = 92*d - 366. Calculate the remainder when x(5) is divided by 49.
45
Let l(q) = -q**3 - 82*q**2 + 528*q + 161. Calculate the remainder when 547 is divided by l(-88).
64
Let o = 1853 + -1272. Calculate the remainder when o is divided by 97.
96
Suppose -w - 666 = -4*w. Let z = w + -199. Calculate the r