
Let k = -9618 + 10223. What is the remainder when k is divided by 32?
29
Suppose 5*s - 3*s = -2*b - 2, -4 = -2*b + 4*s. Suppose 15 = -18*i + 69 + 126. What is the remainder when 2 - (-1 - b - 34) is divided by i?
7
Let a(w) = w**3 - 16*w**2 - 56*w - 20. Let q be a(19). Calculate the remainder when 103 is divided by -13*(-2)/1 + q + 5.
13
What is the remainder when 2736 is divided by (138/(-18) + 4)/((-175)/21 - -8)?
8
Let f(q) be the first derivative of q - q**3 + 16 - 5/2*q**4 + 0*q**2. Calculate the remainder when f(-2) is divided by 24.
21
Suppose 92 = 4*f - i, 6*f - 2*f - 108 = -3*i. Suppose 5*q - 573 = -0*q + 3*y, -363 = -3*q - 3*y. What is the remainder when q is divided by f?
21
Calculate the remainder when -6*(-10)/(-5) + 1219 + -45 is divided by 380.
22
Suppose -i = d + 2, 2*i + 3*i = -4*d - 4. Calculate the remainder when 240 is divided by i.
0
Calculate the remainder when 685 is divided by 24 + (16 - 24) + 123.
129
Let g = -595 + 509. Let k = g - -193. Calculate the remainder when 534 is divided by k.
106
Let v(w) = -5*w - 32. Let a(x) = 6*x**3 - 8*x**2 - 8*x + 22. Calculate the remainder when a(4) is divided by v(-10).
12
Let l = 198 - 394. What is the remainder when (48/56)/((-6)/l) is divided by 3?
1
Let x = -34 - -44. Suppose 16*p + 106 - 522 = 0. What is the remainder when p is divided by (-9)/((-135)/x)*15?
6
Let h(q) = 0*q + 4 + 95 + q - 11. What is the remainder when h(-34) is divided by 6?
0
Let j = 2340 + -2277. Let g(l) be the third derivative of l**5/60 - l**4/6 + 5*l**3/6 + 2*l**2. Calculate the remainder when j is divided by g(6).
12
Let r = 292 - 287. Suppose 4*o + 0*o + 5*t = 45, -r*t = o - 30. What is the remainder when 13 is divided by o?
3
Let r(i) = 2*i**3 - 12*i**2 - 4*i + 34. Let a be (6/(-9))/(30/(-270)). What is the remainder when 23 is divided by r(a)?
3
Let q be 6 + 12/(-8)*28/21. Suppose -5*n + 2*n - 4*c = -264, q*c - 348 = -4*n. Calculate the remainder when n is divided by 22.
18
Suppose -m + 12409 = 5*r, -5*r = -32*m + 37*m - 12425. What is the remainder when r is divided by 28?
17
Suppose z = 2*z - 35. Let v = -64388 - -64524. What is the remainder when v is divided by z?
31
Let q(u) = -u**2 - 29*u - 145. Calculate the remainder when q(-11) is divided by 40.
13
Let u = 41 + 20. Let s = 377 - 451. Let j = -53 - s. Calculate the remainder when u is divided by j.
19
Let b be 3*1 + (-2 - 0). Suppose 0 = -5*l + 44 + 81. Calculate the remainder when 14/((1/18)/(b/3)) is divided by l.
9
Let r be (-705)/2 + 225/(-150). Let c = 385 + r. Calculate the remainder when 56 is divided by c.
25
Suppose -29*m + 1198 = -26903. Suppose 960*q + 198 = m*q. Let s(x) = x**3 + 3*x**2 - 6*x - 5. What is the remainder when q is divided by s(-4)?
1
Suppose i = -5*q + 41, -481*i - 194 = -485*i - 5*q. Let y(n) = -7*n + 7. Calculate the remainder when y(-16) is divided by i.
17
Suppose -25*c - 11168 = 40*c - 81*c. Calculate the remainder when c is divided by 140.
138
Let j(y) = 24*y - 504. Suppose -2*m + 611 = 43. Calculate the remainder when m is divided by j(23).
44
Let r(p) = -p**3 + 8*p**2 + 34*p + 11. Suppose -9*q - 452 = -2810. Calculate the remainder when q is divided by r(11).
20
Let q(i) = -5*i + 3. Let r be q(1). Let l(a) = 34*a - 15. Let d(u) = -17*u + 8. Let o(t) = r*l(t) - 5*d(t). What is the remainder when o(3) is divided by 21?
20
Let c(p) = p**2 + 92*p - 1784. What is the remainder when c(35) is divided by 157?
149
Let w = 6437 + -5689. Calculate the remainder when w is divided by 126.
118
Let d(t) = 7*t**2 + 16 - 4*t**2 + 13*t - t**3 + 4*t - 6*t**2. Calculate the remainder when 22 is divided by d(-6).
0
Suppose 0 = 12318*c - 12340*c + 2200. What is the remainder when c is divided by 72?
28
Suppose -3*y + 5 = -10. Suppose -y*a = -23 + 3. Suppose a*k = 2*k + 72. What is the remainder when 68 is divided by k?
32
Let m(o) = 103*o - 13673. Suppose 16 = -4*h + 5*h. Calculate the remainder when m(136) is divided by h.
15
Let w(d) = d**3 + 13*d**2 + 20*d + 102. Let b be w(-7). Let o = -236 + b. Calculate the remainder when 112 is divided by o.
12
What is the remainder when 1007 is divided by (-48)/(-10)*(-310)/(-248)?
5
What is the remainder when 4373 is divided by (-1062)/(-30) - (-20)/(-50)?
33
Calculate the remainder when 135 is divided by ((-18)/(-15))/((189/60)/21).
7
Let d(i) be the first derivative of i**4/4 - 5*i**3/3 - 5*i**2 + 187. Let h be (2 + -1)*0 + 7. What is the remainder when 55 is divided by d(h)?
27
Suppose 5*s = 711 + 869. Let c be 891/(-495)*40/6. What is the remainder when 27 is divided by c/15 - s/(-20)?
12
Let d = -143 - -188. Suppose 0 = 2*p + 3*r - 264, 2*r = 3*p + 2*p - 660. Calculate the remainder when (p/(-15))/((-1)/10) is divided by d.
43
Let m(g) = -g**3 - 164*g**2 + 477*g + 359. Calculate the remainder when m(-167) is divided by 257.
255
Let v(m) = m**2 - 14*m + 29. Let c be v(12). Suppose -s - 37 = -5*s - 3*q, -c*s + 3*q = -80. What is the remainder when 64 is divided by s?
12
Let c = -3062 + 3262. Calculate the remainder when c is divided by 17.
13
What is the remainder when 7/((-1050)/(-12)) + 1481220/375 is divided by 76?
74
Suppose 0 = 2*n - 3*q - 14477, 2*n + q - 6075 - 8390 = 0. Calculate the remainder when n is divided by 27.
25
Let u(y) = -3*y**3 - 19*y**2 + 11*y + 3. Let g be u(-9). Let w = -516 + g. What is the remainder when 84 is divided by w?
12
Let l = -1883 + 3106. What is the remainder when l is divided by 24?
23
Let z(y) = 2*y + 1. Let f(w) = -11*w - 86. Suppose 2*p - 3*x + 7 = 0, -5*x + 3*x = 4*p + 38. Calculate the remainder when z(5) is divided by f(p).
1
What is the remainder when -13 - (-5875)/6 - (-2)/(-12) is divided by 19?
16
Let v = 25 - 23. Suppose v*o = 525 + 69. What is the remainder when o is divided by 30?
27
Let g = -1841 + 2068. What is the remainder when g is divided by 124?
103
Calculate the remainder when -12759*(100/15 + -7) is divided by 19.
16
Let w = -98 + 101. Calculate the remainder when w - (-640)/5 - (-4 - 1) is divided by 23.
21
Suppose -95 = -5*n + 5*m, 7*m = -3*n + 12*m + 47. Suppose 8*p = 10*p - n. Calculate the remainder when 83 is divided by p.
11
Let m(a) = 4*a**2 - 3*a + 33. What is the remainder when 373 is divided by m(3)?
13
Suppose 257 = 43*o + 85. Suppose 4*l + 62 = 3*p, 34 = 5*p - 5*l - 61. Suppose 8*h - p = 6*h. Calculate the remainder when h is divided by o.
3
Let l(d) = d - 16. Let m be l(-12). Calculate the remainder when 112 is divided by 24/m + 1535/35.
26
Let p(q) = -q**3 + 5*q**2 - 4*q + 1. Suppose 0*w + 27 = u + w, w = -5*u + 123. Suppose -5*l = 3*l - u. Calculate the remainder when 19 is divided by p(l).
5
Suppose x = 0, -4*f + 25 = f + 3*x. Suppose -f*m - 57 = -4*s, 3*s = m - 1 + 41. Let z(d) = d**2 - 11*d - 10. What is the remainder when 23 is divided by z(s)?
7
Suppose -3*k = -4*r + 11, 26 = k + 5*r - 2. Suppose 4*j = 3*l + 1424 - 498, k*l + 2*j = -932. Calculate the remainder when (0 - -3) + l/15*-3 is divided by 11.
10
Suppose 5*c - 2*i - 92 = 0, -10*i + 12*i + 20 = c. Suppose -t + c = 13. Calculate the remainder when t is divided by (-3)/6*(-2 + 0).
0
Let r be (60/(-50))/(2/(-315)). Let z = r - 186. Calculate the remainder when 176 is divided by z.
2
Suppose 63*n - 165 = 58*n. Let h be 1150/3 + 44/66. Suppose 8*f - 5*f = h. What is the remainder when f is divided by n?
29
Calculate the remainder when 548 is divided by 10 + (-2)/(-3) + -5*(-2)/30.
9
Suppose -21*z + 865 = p - 25*z, 0 = p + 3*z - 907. What is the remainder when p is divided by 150?
139
Let q(d) = -d**3 + 5*d**2 + 7*d + 10. Let n = 388 + -382. What is the remainder when 38 is divided by q(n)?
6
Let d(j) = j**2 + 5*j - 13. Suppose 146 = 9*t + 13*t + 58. Calculate the remainder when d(-10) is divided by t.
1
Suppose -z = 3*z - 244. Let f be -1*(-9740)/(-10)*(-2)/(-4). Let g = f - -500. Calculate the remainder when z is divided by g.
9
Let i = -43253 + 43417. Calculate the remainder when i is divided by 87.
77
Let q = 130 + -19. Suppose -5*z = -6*z + 4*b - 29, 2*z = -3*b - 113. Let m = 77 + z. What is the remainder when q is divided by m?
27
Let u be ((-1)/1 + -5)/(8/12). Calculate the remainder when (u/6)/((-6)/268) - -1 is divided by 23.
22
Suppose -2*c + 8 = 2*d, c = -3*d + 5*c - 2. Let y(x) = x**d + 16 + 10*x - 10 + 13. What is the remainder when 4