). Suppose t*q + 210 = 1190. Suppose -3*v = -8*v + 140. Calculate the remainder when q is divided by v.
14
Let q(l) = -2*l - 19. Let u(k) = 3*k**2 - 33*k + 20. Let g be u(10). Let t = 13 + -11. What is the remainder when t is divided by q(g)?
0
Let w = -746 + 754. Suppose -3*j + 5 + 7 = 0. Suppose n - 42 = -j*r, w*r - 234 = -5*n + 12*r. What is the remainder when 181 is divided by n?
43
Let t(j) = -4969*j - 612. Calculate the remainder when t(-2) is divided by 53.
51
Let x(z) = -3*z. Let v(b) = 56*b + 9. Let o(q) = -v(q) - 2*x(q). What is the remainder when o(-1) is divided by 5?
1
Let u be 6 + 1/(2/(-8)) - 8. Let r be -3 - -30 - -3 - (u + 5). Suppose r*i = 33*i - 24. Calculate the remainder when 57 is divided by i.
9
Let p(o) = -11*o + 3. Let r be p(5). What is the remainder when 31 is divided by r/(11 + -7)*-1?
5
Let g be (21/(-14))/(3/(-4)). Suppose -3*z - g*z + 30 = 0. Let c(q) = q**3 + 16*q**2 - 11*q + 112. Calculate the remainder when c(-17) is divided by z.
4
Let h = -162 - -168. Suppose 32*r - h = 35*r, 5*s - 5*r = 300. What is the remainder when s is divided by (-6)/(-21) - (-164)/14?
10
Suppose -3*x + w - 2*w + 3727 = 0, 4944 = 4*x - 5*w. Calculate the remainder when x is divided by 39.
32
Let p(z) be the first derivative of -z**3/3 - 3*z**2 + 3*z - 1. Suppose -153*s - 1530 = -204*s. What is the remainder when s is divided by p(-5)?
6
Suppose -2128*t + 6770 = -1451*t. Suppose -s + k = -4*s + 194, 258 = 4*s + 2*k. What is the remainder when s is divided by t?
5
Suppose 6 = -16*c - 26. What is the remainder when 178 is divided by (-52)/(-78) - c*(-53)/(-3)?
34
Let y = -7 + 10. Suppose -5*u = 3*p - 16, 5*u - 23 = -5*p + 17. Suppose 0 = y*d - 24 + p. What is the remainder when 9 is divided by d?
1
Let c(y) = y**2 + 6153*y - 43078. Suppose 2*g = -2, 2*f - g - 5 = -0*f. Suppose 405 = 3*b + f*b. Calculate the remainder when b is divided by c(7).
39
Let o(q) = 2*q**3 + q**2 - 2*q + 1. Let f be o(2). Let n(w) = 3*w - 8. Let b be n(f). Let a = b - 26. Calculate the remainder when 48 is divided by a.
14
Suppose 2*t - 14 = -16. Let m(o) = 8*o + 2. Let q be m(t). Calculate the remainder when ((-28)/16 - -3) + q/(-8) is divided by 1.
0
Suppose 5*s = -2*p + 1476, -46*p + 50*p = -4*s + 1200. What is the remainder when 1155 is divided by s?
279
Calculate the remainder when 1107 + 3/((-48)/8)*8 is divided by 4.
3
Let v(g) = -468*g - 2636. Calculate the remainder when 694 is divided by v(-6).
6
Suppose 3*n + 372 = u - 156, -2*u + 1066 = -4*n. Suppose -c - m + 136 = -0*m, 4*c - u = -5*m. What is the remainder when c is divided by 16?
9
Let r = -2943 + 2956. Suppose 434 + 338 = 4*q. What is the remainder when q is divided by r?
11
Let l(d) = 2*d**2 + 5*d - 11. Let w be l(3). Suppose -w - 168 = -19*u. Calculate the remainder when 35 is divided by u.
5
Let g(d) be the third derivative of d**5/30 - 13*d**4/12 - 28*d**3/3 - 11*d**2. What is the remainder when g(18) is divided by 21?
19
Suppose -41462 - 26294 = -3*v - 23*v. Calculate the remainder when v is divided by 2602.
4
Let q(c) = 27*c**2 + 53*c + 260. What is the remainder when q(-4) is divided by 23?
20
Let p be 3212/16 - (-2)/8. Let o = p + 86. Calculate the remainder when o is divided by 48.
47
Suppose b + 496 = 2*l, -5*b + 950 = 83*l - 79*l. Calculate the remainder when l is divided by 96.
53
Suppose -t = -2*t + 16. Let n = t + 0. Suppose q - 63 = -6*u + 8*u, u = 0. Calculate the remainder when q is divided by n.
15
Let s = -33 + 57. Let a(m) = -7*m + 33. Let j be a(3). Calculate the remainder when 1*2 - j/9*-33 is divided by s.
22
Let z = -590 - -615. Let j(m) be the second derivative of -m**5/20 + m**4/12 + m**3 + 9*m**2/2 - 14*m. What is the remainder when j(-4) is divided by z?
15
Let r be 3/6*(44 + -4). Suppose 506 = 4*i - 3*h, -i + 144 - r = -2*h. Let b = i - 67. What is the remainder when b is divided by 16?
13
Let o(r) = -r**2 - 8*r - 1. Let w = -16 - -10. Suppose -i - 65 = -3*f + 12, 3*f - 5*i = 73. What is the remainder when f is divided by o(w)?
4
Let p = 172 - 166. Suppose -2*r + 2*x + 1240 = 0, -p*x + 4*x - 2 = 0. Calculate the remainder when r is divided by 23.
21
Suppose 6*n - 789 = 3*n - 150. Calculate the remainder when 227 is divided by n.
14
Let o be ((-7)/((-105)/12))/((-2)/(-70)). Suppose -o = 3*f + 4*f. Calculate the remainder when (-14)/f + -4 - 675/(-6) is divided by 19.
17
Suppose 2*x + 11 - 73 = -4*s, 125 = -x - 28*s. What is the remainder when x is divided by (-27)/(-6)*40/6?
13
Let d be 12/2 + (-1)/(7/14). What is the remainder when 91 is divided by d/16 - (-2)/(40/495)?
16
Suppose -4*h = 8 - 32. Suppose -6 = -4*u + h. Suppose 3*n + u*v - 4*v = 15, -3*n = v - 15. Calculate the remainder when 34 is divided by n.
4
Suppose 0 = -23*y + 10*y + 403. Suppose 5 = 2*z - y. What is the remainder when z is divided by 9?
0
Suppose 7*u - 5*u = 4. Let j(h) = -h**3 + 3*h**2 - 1. Let d be j(u). What is the remainder when (-5 + d + -35)/(-1) is divided by 14?
9
Calculate the remainder when (1/(-4) - (10 + 5)/(-5))/(69/276) is divided by 7/5 + (-2)/5.
0
Let i = -17262 - -17670. What is the remainder when i is divided by 60?
48
Let v(n) be the second derivative of 4*n**3/3 - 19*n**2 - 90*n. Suppose -l - 7 - 9 = -2*r, -3*r = 2*l - 24. Calculate the remainder when v(8) is divided by r.
2
Let k(v) = 5*v - 245*v**2 + 6 + 123*v**2 + 124*v**2. Let p(b) = -b - 14. Let h be p(-10). What is the remainder when 46 is divided by k(h)?
10
Suppose -2*q = -2*y - 4340, 4*q - y - 6802 = 1869. Calculate the remainder when q is divided by 31.
28
Suppose -136 = 4*a - 4*z, -3*a - 3*z = 9 + 87. Let i be 2/((-6)/90*-10). Let n = i - a. Calculate the remainder when n is divided by 13.
10
Suppose i - 1 + 11 = h, h = 5*i + 14. Let u(o) = -386*o**2 - 3 + 196*o**2 - o**3 + 10*o + 198*o**2. What is the remainder when 23 is divided by u(h)?
5
Let p(q) = -87 + 16*q - 311*q**2 + 313*q**2 + 8. Calculate the remainder when p(6) is divided by 19.
13
Let v = -47 - -39. Let f(t) = t**3 + 6*t**2 - 18*t - 8. Let r be f(v). Calculate the remainder when 19 is divided by (r/(-6))/((-136)/510).
4
Suppose -177*d + 6805 = -1514. What is the remainder when 157 is divided by d?
16
Suppose -f - 397 = -82. Let s = 320 + f. Let r = 0 - -6. What is the remainder when r is divided by s?
1
Suppose r = -73 + 27. Let v = -45 - r. Let a = 2 + v. Calculate the remainder when 10 is divided by a.
1
Let l(k) = -60*k - 50. Let c be l(-4). Suppose 187*m - c*m = -264. Calculate the remainder when m is divided by 37.
14
Let u = 28258 + -15649. Calculate the remainder when u is divided by 194.
193
Let u(p) = p**3 - 5*p**2 - 6*p + 8. What is the remainder when (1/7)/(5263/812441) + (-6)/114 is divided by u(6)?
6
Suppose 68*j = 85*j - 102. What is the remainder when 1149 is divided by j/(-120)*-16*(59 - -1)?
45
What is the remainder when (-93 + 50)*(1 - (-608)/(-4)) is divided by 16?
13
Suppose -17*z + 283 = 99 - 343. What is the remainder when 182 is divided by z?
27
Suppose 3717 = 394*x - 385*x. Suppose 0 = -i + 4*q + x, -5*i + 2065 = -0*q + q. Calculate the remainder when i is divided by 9.
8
Let p(w) = -2*w**3 - 25*w**2 - 7*w - 9. Let m be p(-13). Suppose 0 = 3*z - t - m, -4*z + 5*t + 479 = 137. Calculate the remainder when z is divided by 17.
15
Suppose -2*u + 4*c = 102, -89*u - 4*c = -84*u + 283. What is the remainder when 56 is divided by (138/15)/((-22)/u)?
10
Suppose -3*a + 219 = -4*j + 5*j, -3*j + 592 = -4*a. Calculate the remainder when j is divided by 99.
6
Suppose 2*f + 2*f - 348 = 0. Let w(s) = 2*s**3 - 13*s**2 + 50*s - 235. What is the remainder when f is divided by w(6)?
0
What is the remainder when 1086 is divided by (1 - 0) + -17*(-11902)/374?
2
Suppose -m + 59 = 4*i, 15*i = 2*m + 19*i - 106. What is the remainder when 206 is divided by m?
18
Let n = 2595 - 2551. Calculate the remainder when 241 is divided by n.
21
Let u(h) = -71*h - 150. Let r be u(-9). Let m = 567 - r. What is the remainder when m is divided by 1*3*-1*-9?
24
Suppose 59 = 2*g - 5*z, 0 = -5*z - 25. Let m be 3/1*-1 - 201/(-3). Let o = -1 + m. Calculate the remainder when o is divided by g.
12
Let o(n) = 14*n - 10. What is the remainder when (-292)/10*1830/(-244) is divided by o(6)?
71
Let y = 371 + -395. Calculate the remainder when 67/(-402) - 2/(y/4214) is divided