 n(-10) is divided by 10.
5
Let r(c) = 30*c - 185. Let n be r(7). Let u(s) = 2*s**2 - 49*s - 9. Calculate the remainder when 73 is divided by u(n).
9
Let x be (-5)/(-10) - 12/(-8). Suppose 22 = x*k - 100. What is the remainder when k is divided by 17?
10
Let a be (-2)/(-11) - 420/(-110). Suppose 0 = a*h - 12, -11*h - 82 = -2*o - 15*h. Calculate the remainder when 346 is divided by o.
31
Calculate the remainder when (-4 - (-110)/30)/((-5)/10245) is divided by 168.
11
What is the remainder when 467 is divided by (-48)/(-72)*282*(-1)/(-2)?
91
What is the remainder when 463 is divided by (6/16)/3 - 13/(-728)*5761?
51
Let j(v) = -v**2 + 6*v - 5. Let p be j(8). Let u(w) = w**2 - 13*w - 16. Let d be u(10). Let k = p - d. Calculate the remainder when 74 is divided by k.
24
Suppose -3*d - i = 3*i + 241, -4*d = 4*i + 320. Let v = d - -85. What is the remainder when 83 is divided by v?
5
Suppose -u - 4*x = -17, -6*x + x + 79 = 4*u. What is the remainder when 76 is divided by u?
13
What is the remainder when 651 is divided by (-5)/((-310)/(-4)) + ((-630420)/589)/(-5)?
9
Let z(p) = -p**2 - 80*p + 620. Let l = -8 - -3. Let a(b) = b**3 + 11*b**2 + 5*b + 5. Calculate the remainder when a(l) is divided by z(7).
9
Suppose -4*a = -3*m - 3193, 130*a + 5*m = 127*a + 2431. What is the remainder when a is divided by 45?
37
Let q be -4 - -5*(-24)/(-20). Suppose 4*f + 418 - 16 = 3*n, -268 = -q*n - 5*f. What is the remainder when n is divided by 27?
26
Suppose 6*i = i + c + 165, 5*c = -25. Let a = -4612 + 4731. What is the remainder when a is divided by i?
23
Let l(q) = -6*q**2 + 53*q - 40. Let b be l(8). Suppose 14*w + b*w = 112. What is the remainder when 6/2*(-46)/(-3) is divided by w?
6
Let o(b) = 66*b**3 + b. Let h(c) = 329*c**3 + 6*c. Let m(t) = 2*h(t) - 11*o(t). Let y be m(1). Let u = -18 - y. What is the remainder when u is divided by 18?
13
Let w(v) = 44*v**2 - 273*v + 4. Calculate the remainder when w(7) is divided by 86.
77
Let k be ((-92)/(-16))/((-1)/(-8)). Let w = k + 5. Let f(a) = a**3 - 6*a**2 + 3*a. What is the remainder when w is divided by f(6)?
15
Let s = 24258 + -24248. Calculate the remainder when 22498 is divided by s.
8
Let x(s) = 878*s**3 + 9*s**2 - 4*s - 4. What is the remainder when x(1) is divided by 80?
79
Let o(h) = h**3 + 2*h - 5. Let p be (2 + 1)/((-21)/(-28)). Let g be o(p). Suppose 4 = -7*l + g. What is the remainder when 12 is divided by l?
3
Let h be (-774)/(3 - 0) - 68/(-17). Let q = -248 - h. Calculate the remainder when 21 is divided by q.
3
Let i(y) be the second derivative of y**4/2 - 7*y**3/6 - 9*y**2/2 - 44*y + 1. Calculate the remainder when i(3) is divided by 7.
3
Let k(l) be the second derivative of -l**5/20 + 3*l**4/4 + 11*l**2/2 - 93*l. What is the remainder when 33 is divided by k(9)?
0
Let v(o) = 6*o**2 + 1. Suppose 0 = -20*s + 17*s. Let b be 1 + 3*(-1 + s). What is the remainder when v(b) is divided by 15?
10
Suppose -1505*y = -1485*y - 6040. Calculate the remainder when 649 is divided by y.
45
Let u = 37 + -26. Suppose 0 = -2*p - 4*s + 8, 5*p - 3 = 4*s - u. Suppose 3*l = t - 10 - 1, -3*t - l + 83 = p. What is the remainder when t is divided by 14?
12
Let b be 6 + 1 + 2 - (4 + 0). Suppose b*u = -13*u + 3906. What is the remainder when u is divided by 5?
2
Let k be (-3228)/(-30) - 12/(-30). Suppose 3*f + 5*p = 58, -6*p + 5*p = -4*f + k. Calculate the remainder when 204 is divided by f.
22
Suppose c - 2*c + 4*a + 64 = 0, 2*c - a = 135. Let s(x) = 2*x**2 + 145*x - 675. What is the remainder when c is divided by s(-77)?
14
What is the remainder when 314 is divided by (-20)/140 + 1350/42?
26
Suppose 2221 = 56*f - 55*f - y, 5*y - 5 = 0. Calculate the remainder when f is divided by 6.
2
Suppose -w = 5*x + 529 - 644, -5*w + 407 = -3*x. What is the remainder when 300 is divided by w?
45
Let j = -109 - -59. Let k = 49 + j. Calculate the remainder when k/((-2)/6*3/136) is divided by 35.
31
Suppose -h + 4 = 0, -4*i - 6*h = -4*h + 644. Let c = i + 298. Calculate the remainder when c is divided by 8.
7
Suppose 5*r - 1629 = -4*x, -20*x - 404 = -21*x + 2*r. What is the remainder when x is divided by 43?
19
Let y = 74 - 53. Let z be (3 - (-40)/(-15))*423. Let n = 223 - z. What is the remainder when n is divided by y?
19
Calculate the remainder when 4571 is divided by (-1054)/(-14) - (55 + 11107/(-203)).
71
Suppose 188 = 4*u + 4*c, 4*u - 8*u = -5*c - 179. Suppose 0 = -42*q + u*q - 252. What is the remainder when q is divided by 6?
3
Suppose 0 = -m + 3*w + 1, -w = 2*m + 3*w - 12. Let j(r) = -2 - 5 + r**3 - 2*r + 0*r + m*r**2 + 2*r**2. Calculate the remainder when j(-5) is divided by 10.
8
Let z = -10703 - -11246. Calculate the remainder when z is divided by 7.
4
Suppose -167*u = -142*u - 425. Calculate the remainder when 1280 is divided by u.
5
Suppose 2891 + 736 = 117*a. Suppose 0 = -4*n + 4*p + 224, 50 = -4*n + 5*n - 3*p. What is the remainder when n is divided by a?
28
Calculate the remainder when 299 is divided by -61*10*(-12)/60.
55
Suppose -579 - 675 = -2*x. Calculate the remainder when 71 is divided by -2 - 1 - x/(-33) - -2.
17
Calculate the remainder when ((-224)/168)/(4/(-1287)) is divided by 207.
15
Suppose -97*q = -n - 92*q + 167, n + 5*q - 97 = 0. What is the remainder when 785 is divided by n?
125
Suppose -2*u = 3*u. Suppose -3*p = -5*c + 16, p - 4 = -3*c - u. Suppose w + c*w - 21 = 0. What is the remainder when w is divided by 6?
1
What is the remainder when 701 is divided by (-3)/4*(-1428)/153 + 134?
137
Let w = 2762 - 2742. Calculate the remainder when 58 is divided by w.
18
Let y(b) = 2*b**2 - 4*b + 127. Let g be y(15). Let n = g - 495. What is the remainder when 35 is divided by n?
13
Let q(h) = -3*h + 102. Let n = -173 - -196. Suppose 50 = 2*z + 14. Calculate the remainder when q(n) is divided by z.
15
Let s(h) = 5*h - 4. Let l be -1 + 8/7 + 129676/238. Let r = 606 - l. Calculate the remainder when r is divided by s(4).
13
Let f(b) = -2*b + 12. Let p be f(0). Let t(s) = -s**2 + 11*s + 27. Let v be t(p). What is the remainder when 63 is divided by -1*(4 - 0) + v?
8
Suppose 0 = -o + 5*c, -9*o + c - 36 = -10*o. Calculate the remainder when 267 is divided by o.
27
Let j = -14306 + 14322. What is the remainder when 302 is divided by j?
14
Let o(w) = w**3 - 4*w**2 + 2*w - 8. Suppose 4*k - 130 = -22*k. What is the remainder when -5 - -3 - (-109 + 2) is divided by o(k)?
24
Let d = 660 - 329. Let y = d - 271. What is the remainder when 356 is divided by y?
56
Suppose -5*i - 5*v = -220, i - v = 6*i - 224. What is the remainder when (-6 + (-184)/(-24))/((-1)/(-159)) is divided by i?
40
Suppose 0 = -154*f + 139*f - 1929 + 26289. What is the remainder when f is divided by 1614?
10
Suppose 2*m = j + 174, 3*j + 170 = 2*m - 0*j. Suppose -2*g + 38 = l, 0 = -100*l + 105*l + 3*g - 141. What is the remainder when m is divided by l?
16
Let c = 7056 - 6025. What is the remainder when c is divided by 28?
23
Let f(q) = 2*q**2 + 19*q + 8. Let r be f(-9). Let d(b) = -34*b**3 - b**2 + b + 3. What is the remainder when 136 is divided by d(r)?
31
Suppose 0 = -5*r - 5*y + 4*y + 910, 3*r - 5*y = 546. Suppose 5*q + 9*n - 469 = 8*n, -2*q = n - 190. Calculate the remainder when r is divided by q.
89
Suppose -l - 3*u = -251, 3*l = -u + 2*u + 763. Let h = -209 + l. Calculate the remainder when h is divided by 21.
3
Let h = -3496 - -3602. Calculate the remainder when h is divided by 16.
10
Suppose -2*a + 639 = 3*z, -a + 297 = -3*z - 27. Suppose 2*k - 5*j + 133 = 147, -3*j = -3*k + 48. What is the remainder when (-1)/(1*(-3)/a) is divided by k?
19
Suppose -30 + 42 = 4*b. Suppose -4*s - 26 - 96 = -3*n, -5*s = 10. Calculate the remainder when n is divided by ((-232)/(-87))/(1/b).
6
Let j(t) = 5*t**2 - t. Let f be j(2). Suppose -5*d - 3*a = -33, -47 + f = -d + 5*a. What is the remainder when 295/15 + -4*(-1)/(-6) is divided by d?
1
Suppose -228 = -2*w + 214*i - 210*i, w - 150 = -i. Calculate the remainder when w is divided by 4/6*3 + 33.
33
Calculate the remainder when (728/42)/((-4)/12120*-5) is divided by 103.
101
Let x = 27 + -13. Let s be ((-642)/963)/(((-8)/9)/4). Suppose -a + x = s. Calculate the remainder when a is divided by 8.
3
Let y(a) = 28*a - 30. Let o(r) = 2*r**2 + 52*r + 52. Let c be o(-25). What is the remainder when 75 is divided by y(c)