d by 31.
29
Suppose -42392*k + 42410*k - 4554 = 0. Calculate the remainder when 752 is divided by k.
246
Let p(z) = 33*z - 51. Let w be p(2). Suppose 396 = w*d - 3*d. What is the remainder when d is divided by 6?
3
Suppose -3*r + 50 = 2*r. What is the remainder when (60/8)/(55/1452) is divided by r?
8
Let t = 613 + -600. Suppose -972 - 1082 = -t*l. Calculate the remainder when l is divided by 20.
18
Suppose 64 = 5*s - 3*l - 51, 2*l = -4*s + 92. Suppose -3*r - c = -1517, 0 = r + 2*c - 225 - 289. Calculate the remainder when r is divided by s.
21
Suppose 0 = -68*o + 113*o - 7695. Calculate the remainder when o is divided by 25.
21
Let s(t) = 16*t + 8. Let l be s(2). Suppose l*p + 9 = 43*p. Calculate the remainder when 11 is divided by p*1*2 - 0/(-12).
5
Suppose 0 = 439*u - 452*u + 494. What is the remainder when 134/(-3)*780/(-40) is divided by u?
35
Let q = 7470 - 7409. Calculate the remainder when 129 is divided by q.
7
Let r be 0/2 - (2 - 1). Let g(h) be the second derivative of -41*h**3/3 - 5*h**2/2 + 2*h + 1318. Calculate the remainder when g(r) is divided by 16.
13
Let l(o) = 3*o + 10. Let f be l(5). Suppose -5*z + 2*i = -f - 108, 5*z + 5*i - 105 = 0. Calculate the remainder when 38 is divided by z.
13
Suppose -34*t + 140 = -14*t. Let o(n) = 13*n**2 - 47*n + 12. Calculate the remainder when o(t) is divided by 14.
12
Suppose 143684*w - 150 = 144026*w - 5280. Let v(o) = 5*o**2 + o - 1. Let j be -2 + 3 + 1 + -5. Calculate the remainder when v(j) is divided by w.
11
Suppose 0*j = 3*j + 5*h + 131, -3*j - 151 = -5*h. Let s(b) = -7*b + 1. Let r be s(4). Let q = r - j. What is the remainder when 32 is divided by q?
12
Suppose 0 = 4*c - 0*c - 244. Let d = -42 + c. Let j(n) = -n + 85. Calculate the remainder when j(34) is divided by d.
13
Suppose 565*c = 604*c - 78. What is the remainder when 106 is divided by c?
0
What is the remainder when 530*3/(-2)*36/(-90) is divided by 72?
30
Suppose -234*c = -212*c - 924. What is the remainder when 1215 is divided by c?
39
Let o(g) = 26*g**2 - 71*g + 200. Calculate the remainder when 587 is divided by o(3).
145
Let f = -255 - -255. Suppose 3*p = -p - g + 194, -2*g + 4 = f. What is the remainder when 236 is divided by p?
44
What is the remainder when (2 + -5 - -47)*(225/10 - 4) is divided by 5?
4
Let n = 11385 + -10650. Calculate the remainder when n is divided by 125.
110
Let c be 2 + -4 + 9 + -5. Suppose 10*g - 624 = -c*g. Suppose -8 = -4*j + g. What is the remainder when 101 is divided by j?
11
Let n(d) = d**2 + 6*d - 9. Let c be n(-12). Let g = c - -25. What is the remainder when g/(-6)*18/(-12) is divided by 9?
4
Suppose -2*l = -3*z + 10, -2*l = -4*z - 4*l - 10. Suppose 3*x + 18 = 2*j, 3*j - 5 = -x - z. Calculate the remainder when (-4 + 41 + x)/1 is divided by 7.
5
Suppose -c + 65 = -5*m - 6, 4*m = -5*c + 500. Calculate the remainder when 656 is divided by c.
80
Suppose 4*o = -324 + 1116. What is the remainder when 808 is divided by o?
16
Let h(g) = 205*g - 677. Calculate the remainder when h(4) is divided by 21.
17
Suppose 0 = 75*a + 47*a - 1220. Suppose 2*u = -5*d + 5, u + d = -0 + 4. Suppose u*o + 64 = 249. What is the remainder when o is divided by a?
7
Suppose -l + 5*p - 9*p + 154 = 0, 3*p = -3*l + 453. Let s = 223 - l. Suppose -23 = -2*d + 27. Calculate the remainder when s is divided by d.
23
Let d = 220 - 35. Calculate the remainder when d is divided by ((-194040)/572)/(-10) + (-2)/(-26).
15
Let j be 2 - 58/((-2)/1). Let y = -141 - -171. Let z = j - y. Calculate the remainder when 6 is divided by z.
0
Let d(g) = g**2 - 3*g - 7. Let w be d(5). Suppose w*i + 10 = 8*i. What is the remainder when 22 is divided by i*2 + -7 + 9?
4
Suppose -446 = 6*f + 178. Let s = f - -97. What is the remainder when -2*s*(4 + 0)/4 is divided by 5?
4
Suppose -2*u = -3*g + 343, 131 = -0*g + g - 4*u. Let r(a) = 3*a**2 + 3*a - 2. What is the remainder when g is divided by r(2)?
15
Suppose -2*n = 2*d - 3*n - 125, 4*d + n = 241. Let l = d - 57. What is the remainder when 59 is divided by 42/4 + l/(-8)?
9
Suppose -288 = 123*s - 105*s. Let c = 36 - s. What is the remainder when c is divided by 27?
25
Suppose 3*d = -5*p - 23, -5*p + 3*p = 2*d + 10. Let b be 6*(-4)/(d + -7). Let f = b - -100. Calculate the remainder when f is divided by 26.
25
Suppose 3*u + 5*z = 4965, -u - 82*z + 1655 = -80*z. What is the remainder when u is divided by 138?
137
Suppose 0 = -12*x + 11 + 13. Suppose 7*y - 6*y = 5*k - 123, -y = -x*k + 48. Calculate the remainder when 63 is divided by k.
13
Calculate the remainder when 234 is divided by 24/(-14)*(-170)/(-1020) + 1038/7.
86
Let q be (-1 - 2) + -4 + 2. Let v(g) = -14*g - 7. Let f(i) = i**2 - 30*i + 126. Calculate the remainder when v(q) is divided by f(26).
19
What is the remainder when -462*(5/(-225)*-18)/((-7)/15) is divided by 74?
26
What is the remainder when 404 is divided by (-12)/((-672)/(-1498))*(-4)/1?
83
Let c(j) = j**3 - 20*j**2 - 155*j + 11. Calculate the remainder when 2412 is divided by c(-6).
2
Let s(j) = -j**3 + 11*j**2 + j - 15. Let u be s(11). Suppose 244 = 5*w - 221. Calculate the remainder when w is divided by 6/(1 + 2) - u.
3
Let g = 367 + -299. Suppose 2*c - g = -3*q - q, q - 4*c = 17. Let m(a) = -a**3 + 9*a**2 - a - 9. What is the remainder when m(8) is divided by q?
13
Let i = -22675 + 23086. Calculate the remainder when i is divided by 204.
3
Let f be 49*2/10 + (-48)/60. Suppose f*w + 300 = 318. Calculate the remainder when -1*(-3 - (0 + 20)) is divided by w.
1
Let a = -2573 + 6029. What is the remainder when a is divided by 13?
11
Let n(v) = -v**2 + 12*v + 136. Let w(u) = -u**2 + 14*u + 136. Let x(b) = 6*n(b) - 5*w(b). What is the remainder when x(0) is divided by 24?
16
Let h(k) = 4*k + 64. Let x(y) = -10*y - 44. Let p be x(-6). Calculate the remainder when h(p) is divided by 68.
60
Let n = 561 + -550. Suppose -i - i + 8 = 2*j, j = -3*i + 4. Suppose j*h + 462 = 15*h. What is the remainder when h is divided by n?
9
Suppose -4*m - 20 = 0, 4*d = -3*m - m + 4. Suppose 15 = d*x - 69. Let z = -99 + 151. Calculate the remainder when z is divided by x.
10
Suppose 0 = -2*o + 5*l - 129, 2*o + 235 = 3*l + 96. Let y = o - -112. Suppose 121 = 3*s - y. Calculate the remainder when s is divided by 14.
10
Suppose -2*p + 18 + 0 = 0. Let u be 6*4/84 + p/(-7). What is the remainder when -3 - (((-3)/u)/3 - 36) is divided by 12?
8
Let s be 1*60/(-8)*2. What is the remainder when 1995 is divided by 12/s + (-94)/(-5)?
15
Let s be 56/((-35)/5) + 4. Let n(v) = -v**3 - 4*v**2 - 15*v - 6. Let y = 7 - -4. Calculate the remainder when n(s) is divided by y.
10
Suppose 583*t = 80*t + 657362 + 570461. Calculate the remainder when t is divided by 28.
5
What is the remainder when 655 is divided by ((-294)/70)/(84/(-180))?
7
Let g = 196 - 109. Calculate the remainder when 351 is divided by g.
3
Suppose -2*l - 5*l - 546 = -14*l. Calculate the remainder when 392 is divided by l.
2
Let q(z) be the third derivative of z**6/120 - 17*z**5/60 - 17*z**4/24 - z**3/6 - 37*z**2. Let n = 36 - 18. Calculate the remainder when 83 is divided by q(n).
15
Suppose 1461 = -3*c + 2973. What is the remainder when c is divided by 13?
10
What is the remainder when -6 - -53 - (-2 + -2) is divided by ((-40)/80)/(4/(-80))?
1
Suppose 467*u = 459*u + 1056. Suppose -3*w + 28 + 3 = -4*j, 0 = -w + 4*j + 13. Calculate the remainder when u is divided by w.
6
Let v = -492 + 755. Suppose -2*b + 4*t + 112 = 0, -239 = -6*b + 2*b + 5*t. Calculate the remainder when v is divided by b.
65
Let b(m) = -36*m + 2. Suppose 0 = 3*w - 2*o - 69, 76*w + 5*o = 71*w + 65. What is the remainder when b(-2) is divided by w?
17
Suppose 0 = 2*m + 2*l - 3056, -4*m + 5*l = 3429 - 9604. Calculate the remainder when m is divided by 120.
95
Let d(w) = 6*w**2 - 33*w - 170. Calculate the remainder when d(-4) is divided by 37.
21
Let j = 71 - 67. Suppose 1 = -2*z + 3. Let w(y) = 22*y - 3. Calculate the remainder when w(z) is divided by j.
3
Let d(j) = j**2 - 6*j - 87. Let v be d(13). Suppose -21 + 10 = -q - u, -q = v*u + 1. What is the remainder when 176 is divided by q?
11
Suppose 869 = -3*k - o - 1780, -o + 887 = -k. Let p = 916 + k. Let h = -5 + 14. What is the remainder when p is divided by h?
5
Let q(k) = 2*k**2 - 147*k + 335. What is the remainder when q(78) i