
Let n(h) = h**3 - h**2 - 4*h - 1. Let l be n(2). Let z be -32*l*8/(-20). What is the remainder when 5 is divided by z/80*10/(-2)?
1
Suppose -9026 = -167*t + 10346. What is the remainder when 1037 is divided by t?
109
Suppose 55*s = 57*s - 1752. Let t = s + -829. Calculate the remainder when 139 is divided by t.
45
Suppose -66*x = -33*x - 726. Calculate the remainder when 36 is divided by x.
14
Suppose -85 = 8*c - 61. Calculate the remainder when 149 is divided by -3*1*c*120/36.
29
Suppose -5*h - 5*n + 722 = -8*n, h - 141 = 4*n. Calculate the remainder when h is divided by 32.
17
Let z(t) = 45*t**3 + 5*t**2 - 11*t + 43. What is the remainder when z(3) is divided by 53?
51
Suppose 9 = 5*s - 1. Let v be (-23)/(-46)*(1 - (2 - 1)). Calculate the remainder when 488/56 - (v - (-2)/(-7)) is divided by s.
1
Let d = -37 - -41. Let g be (24/d)/((-6)/(-4)). Suppose g*r - 4*v - 20 = 0, -2*r + 5*v - 1 = 1. What is the remainder when r is divided by 2?
1
Let p = 40 - 25. Let w = p + -2. What is the remainder when w is divided by (13 - 1)*(-3)/(-6)?
1
Let m = 16 + 9. Calculate the remainder when (209 - 211)*-2*(-235)/(-20) is divided by m.
22
Suppose -3*r + 108 = r. Let c = -3000 - -3077. What is the remainder when c is divided by r?
23
Let u = 33 - 36. Let r(a) = -22*a - 9. What is the remainder when r(u) is divided by 24?
9
Let m = -9569 - -11069. Calculate the remainder when m is divided by 79.
78
Suppose -3*q + 5*o = -1091, -3*o - 493 = 5*q - 2368. What is the remainder when 775 is divided by q?
31
Let l = 8685 + -5998. Calculate the remainder when l is divided by 8.
7
Let j(k) = 4*k**3 + 3*k**2 - k - 3. Suppose -5*d + 510 = -11*d. Let h = 87 + d. Calculate the remainder when 113 is divided by j(h).
35
Suppose 4*k - 3*i = 45 + 8, -4*i = -5*k + 67. Suppose 0 = -2*h + 8, -8*c = -7*c + h + 500. Let s = -485 - c. What is the remainder when s is divided by k?
8
Let g be (16 - 13)*(-4)/((-4)/69). Let o = g - 81. Calculate the remainder when o is divided by 16.
14
Suppose 12*s - 3229 = 9611. Calculate the remainder when s is divided by 24.
14
Let o(c) = 65*c + 8. Let i be o(18). Suppose -2*g - 33 = -2*m + 749, -4*m = -3*g - i. Let j = 657 + g. What is the remainder when j is divided by 34?
33
Let s(h) = -201*h - 557. What is the remainder when 144 is divided by s(-3)?
6
Let b be (1218/12)/(-1)*2. Let v = b - -252. What is the remainder when v is divided by 17?
15
Let s(x) = -6 - 6 - 24 - 4 - 27*x - 8*x - 2*x**2. Let q(p) = 5*p - 6. What is the remainder when q(5) is divided by s(-16)?
3
Let o be -13 + 15 + (1 - 1). Let c(f) = 6*f**2 + 9*f - 15. What is the remainder when 130 is divided by c(o)?
22
Let d = 376 + -372. Suppose -2*q - r + 99 = 0, 6*q - d*r = 8*q - 96. Calculate the remainder when q is divided by 26.
24
Suppose o + 178 = 5*g, g + 41*o - 44 = 44*o. What is the remainder when 414 is divided by g?
29
Let g = 8 - -57. Suppose 107*n - 104*n - 975 = -3*i, 5*n + 3*i = 1621. What is the remainder when n is divided by g?
63
Suppose -22 = 8*b - 14. Let j be (3 - 179)/(-2)*(b - -3). Suppose -3*h - 13*h + j = 0. What is the remainder when 21 is divided by h?
10
Let g(d) be the third derivative of d**5/60 + d**4/6 + 2*d**3 + 9*d**2. Calculate the remainder when 32 is divided by g(-4).
8
Suppose 3*o + 4*k - 11 = 5*k, 0 = 4*o - k - 15. Suppose -o*b = -2*b - 20. What is the remainder when 217 is divided by b?
7
Let q(o) = -o**2 - 19*o + 6. Suppose 1079 = 5*y - 2*h, 5*h = -2*y + 198 + 222. What is the remainder when y is divided by q(-16)?
53
Calculate the remainder when 167 is divided by (-492)/(-20) - (-464)/(-290).
6
Let z be (-2)/3*(-85 + 52). Suppose -n = -5*n, 0 = 2*r - 2*n - z. What is the remainder when 57 is divided by r?
2
Let v(u) = -63*u**2 - 7*u - 12. Let q(j) = -2*j - 2. Let r(b) = 5*q(b) - v(b). Calculate the remainder when r(1) is divided by 21.
20
Suppose -5*l = -q - 207, -11*l + q + 84 = -9*l. Calculate the remainder when 3556 is divided by l.
30
Let c(w) = -3*w**3 + 32*w**2 - 8*w - 33. Calculate the remainder when 4262 is divided by c(10).
86
Suppose 4*w + 132 = -2*z, -155 = 5*z + 4*w + 193. Calculate the remainder when (-2 - z/27)/((-4)/(-318)) is divided by 6.
5
Suppose -7*l + 22 - 8 = 0. Let o(u) = -6*u + u**l - 8 + 3*u + 2*u. What is the remainder when 43 is divided by o(-4)?
7
Let w(q) = -7*q. Let o(g) = g**3 - 24*g**2 + 34*g + 273. What is the remainder when o(22) is divided by w(-2)?
11
Calculate the remainder when (-6 - 664)*(-4)/8 is divided by 36.
11
Suppose -790 = -2*v + n, -2*v + 1186 = v - n. What is the remainder when (v/110)/((-9)/(-120)) is divided by 11?
4
Suppose 218*a - 217*a = w + 45, 5*a + 2*w - 155 = 0. Suppose 4*s = -x + 27, 0*x - 42 = -2*x - 5*s. Calculate the remainder when a is divided by x.
2
Suppose 221 = 3*o + 5*a, -3 = -4*o - 2*a + 259. Calculate the remainder when 412 is divided by o.
40
Let r(s) = s**3 - 19*s**2 - 21*s + 19. Let v be r(20). Let y(l) = -75*l - 39. Calculate the remainder when 143 is divided by y(v).
35
Let t(g) = -g**3 - g**2 - 5*g - 3. Suppose -2*n + 5 = 9. Suppose 2*s - 198 = -5*b, -3*b - 4*s = -6*s - 122. Calculate the remainder when b is divided by t(n).
7
Let h(l) = 29*l**2 + l + 5. What is the remainder when h(-2) is divided by 118?
1
Suppose 712*l - 715*l + 4129 = -2*k, -5*l + 4*k = -6883. Calculate the remainder when l is divided by 115.
110
Let t = 41251 - 20990. What is the remainder when t is divided by 66?
65
Let p(l) = l**3 + 5*l**2 - 2*l + 5. Let d be p(-5). Suppose -83 = -4*a - d. What is the remainder when 84 is divided by a?
16
Suppose 62*b + 6 = 68*b. Calculate the remainder when b*45 - (-100)/(-25) is divided by 12.
5
Let d(t) = t**3 + 7*t**2 + 4*t + 5. Let k be d(-6). Suppose k = 3*a - 13. What is the remainder when 1 - 15 - (-8536)/120 - (-2)/(-15) is divided by a?
7
Suppose -19 - 11 = -2*w. Suppose -1691390*o + 95 = -1691371*o. Calculate the remainder when w is divided by o.
0
Suppose -5*v + 5803 = 2*o, -4*o - 2302 = 11*v - 13*v. What is the remainder when v is divided by 129?
127
Let j = -135 + 135. Suppose -15*l + 201 + 444 = j. Calculate the remainder when l is divided by 14.
1
Let o(c) = -128*c**3 + c. Suppose -3 + 2 + 3 = -2*f, -6*f = i - f. What is the remainder when o(-1) is divided by i?
2
Let k(u) = -28*u + 88. Let d be k(3). Suppose -2*c + 40 = s + d*s, -5*s = c - 35. Suppose -5*m + 15 = -50. Calculate the remainder when m is divided by s.
1
Let z(u) = 769*u - 7678. Suppose 3*t - 333 = 594. What is the remainder when t is divided by z(10)?
9
Let j(c) = -46*c - 99. Let h be j(-3). Suppose -a + 3*p = h - 57, -a - 4*p = -32. Suppose 0 = -g + 4*g - 207. Calculate the remainder when g is divided by a.
21
Suppose -2*w = -77 + 13. Calculate the remainder when 254 - -2 - (-5)/(-10)*6 is divided by w.
29
Suppose -4*c - 1472 = -5*m, -m - 2224*c + 2219*c + 248 = 0. Suppose -4*v + 3*f = -292, 3*v - f - 219 = 3*f. What is the remainder when m is divided by v?
69
Let f = -1463 + 1470. Calculate the remainder when 327 is divided by f.
5
Calculate the remainder when 65 is divided by 11 + -4 + (405/(-60))/((-1)/4).
31
Suppose -5*b + 1 = z, 0*b - 5*b + 5*z = -25. Suppose m - 275 = -4*m. What is the remainder when m is divided by (19 + -5)*(b - 0)?
13
Suppose -65*c - 284 + 1129 = 0. Calculate the remainder when 1096 is divided by c.
4
What is the remainder when (-5)/25*-2479 + ((-120)/25 - -5) is divided by 26?
2
Suppose 4*m - 4*p - 2330 = 2*m, 5*p + 2335 = 2*m. Suppose 7*s = 40*s - m. What is the remainder when 69 is divided by s?
34
Let c = -224 - -188. Let m = -32 + 56. Calculate the remainder when m is divided by 14/2 - (-9)/(c/8).
4
Suppose 0 = 19*l - 61*l + 630. What is the remainder when 2172 is divided by l?
12
Let f(u) = -379*u - 1135. Let r be f(-3). Let y(x) be the second derivative of 3*x**3/2 - 11*x**2/2 - x. Calculate the remainder when 34 is divided by y(r).
6
Let w = 11112 - 9297. Calculate the remainder when w is divided by 73.
63
Suppose -1214 = -17*u - w, -2*u + 163 = -2*w + 5*w. Calculate the remainder when u is divided by 16.
7
Suppose w = -2*c + 21, 5*c - 26 - 34 = -3*w. What is the remainder when 2562 is divided by w?
12
Suppose 42*g = -5106 + 4928 + 33148. What is the remainder when g is divided by 32?
17
What is the remainder when (-221)/26*1*-78 is divided