e 1494 = 4*r - 5*t, 6*t = 3*r + 2*t - 1121. Calculate the remainder when r is divided by s(5).
30
Suppose 210*g - 212*g + 16 = -o, 0 = -3*g - 4*o + 24. Suppose 6*a - 790 = a. What is the remainder when a is divided by g?
6
Let x = 301 - 276. Let g(c) = 9*c - 26. Let f(j) = -5*j + 13. Let i(d) = 5*f(d) + 3*g(d). What is the remainder when x is divided by i(11)?
7
Let a(w) be the first derivative of 17*w**3/3 + 51*w**2/2 - 3*w - 259. Calculate the remainder when a(-4) is divided by 21.
2
What is the remainder when 179 is divided by ((-7)/49)/(1/(-295)) + 1/(-7)?
11
Let m(w) = -w + 468. Let l be m(0). Let q = -241 - -249. Suppose 0 = 2*r - q*r + l. What is the remainder when r is divided by 27?
24
Suppose 12*j - 660 = -0*j. Calculate the remainder when 293 is divided by j.
18
Suppose 2*d + 67 = 273. Let i be 20/(-3)*(-1512)/(-105). Let u = i - -111. What is the remainder when d is divided by u?
13
Let m(z) be the first derivative of 102*z**2 + z + 12. Let w be m(1). Let r = -87 + w. Calculate the remainder when r is divided by 30.
28
Suppose 0 = -2131*r + 2089*r + 1386. What is the remainder when 64 is divided by r?
31
Suppose -2*z + 87 = 5*y, -2*z + 106 = -y + 25. Suppose 58 - z = f. Suppose f*l = 7*l + 250. Calculate the remainder when l is divided by 9.
7
Let w(q) = 10*q**2 - 12*q - 170. Calculate the remainder when w(-8) is divided by 41.
33
Suppose -10*a - 2*a + 48 = 0. Suppose -a*d = -2*j - 6, -4*d + 18 = 2*j - 0*j. What is the remainder when 3*(3/3 + 3) is divided by d?
0
Let k = 2500 + -1257. Let x = k + -814. Calculate the remainder when x is divided by 12.
9
Let d = 826 + -934. Let z = d - -119. What is the remainder when 60 is divided by z?
5
Suppose -5*c - 13*c = 43*c - 3294. What is the remainder when 130 is divided by c?
22
Let q = -25336 + 35601. Calculate the remainder when q is divided by 58.
57
Suppose -180 = -2*q - 2*l, 10*l - 5*l = -25. Let a = q + -90. Calculate the remainder when 74 is divided by a.
4
Suppose 4*l = 5*s + 35, -s = -144*l + 142*l + 25. Let b = -6 + 29. What is the remainder when b is divided by l?
8
Let i(b) = 72*b. Let j be i(-2). Suppose -245 - 95 = -5*k. Calculate the remainder when k is divided by (1/2)/((-6)/j).
8
Suppose 5*l = 20 + 135. Let c be (l/(-4))/(5/(-20)). Let m = c - 2. What is the remainder when m is divided by 10?
9
Let b = -137 + 237. Let r = -95 + b. What is the remainder when r is divided by (3/(-6) - -1)*8?
1
Suppose -4008*n + 3997*n + 1386 = 0. Calculate the remainder when 738 is divided by n.
108
Suppose -117*o - 254730 = -797610. Calculate the remainder when o is divided by 21.
20
Let k(o) = -2*o**3 - 15*o**2 + 8*o - 120. What is the remainder when k(-10) is divided by 17?
11
Suppose -a = r - 2*r - 4, 4*a - 17 = 3*r. Suppose 4*k - 67 - 388 = -p, -2*p = -a*k + 585. Calculate the remainder when k is divided by 42.
31
Suppose 200 = 12*g - 484. What is the remainder when 282 is divided by g?
54
Suppose 75*d - 15*d = 2700. Calculate the remainder when d is divided by (32/(-6))/(2/(-9)).
21
Let u(l) = -2*l + 5. Let p be (-4)/6 - 2/9*-1380. Suppose -16*i + 22*i = p. Calculate the remainder when i is divided by u(-4).
12
Let f(j) = 7*j + 21. Suppose 0 = 8*w - 11*w - 3. Suppose i - 164 = -i. Calculate the remainder when i is divided by f(w).
12
Let b(s) = 2*s**2 + 14*s + 8. Suppose 18*q + 11 - 227 = 0. Calculate the remainder when q is divided by b(-7).
4
Let a = -15 - -28. Suppose 0 = -a*b + 40*b - 1269. Calculate the remainder when b is divided by 33.
14
Suppose 2*s - 4*s = -6, -s + 107 = 2*k. Suppose k*x - 25 = 47*x. Suppose 0*w + 159 = 3*w - 3*c, -x*w + 283 = c. Calculate the remainder when w is divided by 19.
18
Let k = 2104 + -184. Calculate the remainder when k is divided by 13.
9
Let i(n) = 24*n + 3. Let a be i(0). Suppose -4*s + 2*t + 120 = -0*t, -2*s + a*t = -68. Calculate the remainder when (-1)/(-3) + (-323)/(-3) is divided by s.
24
Let g(p) = -p**2 - 32*p + 264. What is the remainder when 422 is divided by g(-38)?
26
Let i(w) = -w**3 + 10*w**2 + 2*w - 8. Suppose -8 = -y + 1. Let t(x) = x**2 - 6*x - 17. Let g be t(y). What is the remainder when 21 is divided by i(g)?
9
Let m = -28138 + 29929. Calculate the remainder when m is divided by 356.
11
Let t(d) = -15*d**2 - 99*d + 71. What is the remainder when ((-47)/(-2))/((-4)/(-24)) is divided by t(-7)?
25
Suppose -5*l + 11*y = 8*y - 247, 4*l + 8*y = 156. What is the remainder when 467 is divided by l?
44
Let k(s) = 34*s + 10. What is the remainder when (-1188)/(0 + -6) + 2 is divided by k(1)?
24
Let u be (-18)/12*80/(-6). What is the remainder when 51 is divided by 6*(-60)/80*u/(-6)?
6
Let v = 10315 + -10161. Calculate the remainder when 303 is divided by v.
149
Let u(o) = -2*o**2 - 67*o + 14. Let r be u(-30). Let f = 267 - r. What is the remainder when f is divided by 17?
9
Let o be 12/7*116459/254. Let n = o - 645. What is the remainder when n is divided by 77?
64
Let c(n) = n**3 + n**2 + 2*n - 1. Let b = -42 + 44. Suppose 0 = 9*a - 789 + 6. What is the remainder when a is divided by c(b)?
12
Let i(k) = k + 6. Suppose -3*b + 3*q = 9*q + 27, 5*q = -35. What is the remainder when b is divided by i(-5)?
0
Let y = 11674 - 11563. What is the remainder when 435 is divided by y?
102
What is the remainder when (-2 + 0)*(-767)/(-65)*-5 is divided by 57?
4
Let w = -166 - -178. Suppose -5*s = i - 87, 69 = 4*s - 3*i - w. Calculate the remainder when 122 is divided by s.
14
Let q = 609 + -569. What is the remainder when q is divided by 1/7 - ((-1940)/(-28))/(-5)?
12
Let d(p) = 159*p + 183. Suppose 5*c - 4*q = 1421, 0 = 4*c - 2*q - q - 1137. Calculate the remainder when c is divided by d(-1).
21
Suppose -2 = r, 0*l + 6*l = -3*r + 1464. Calculate the remainder when l is divided by 25.
20
Suppose 0*p - 176 = -2*p - 2*m, -4*p + 346 = -2*m. Suppose 0 = x + p + 12. Let r = x - -114. Calculate the remainder when 41 is divided by r.
11
Let n = 1920 + -1883. Calculate the remainder when 75 is divided by n.
1
Let u(r) be the third derivative of r**5/60 - r**4/12 + 23*r**3/6 + 3*r**2 - 5. Calculate the remainder when u(5) is divided by 20.
18
Suppose w - 200 - 463 = 0. Suppose 27*p + 204 - w = 0. Calculate the remainder when (2 + 0)/2 + 39 is divided by p.
6
Let q be (-2 + 2095)/(-7) - 2. Let x = -163 - q. What is the remainder when x is divided by 28?
26
Suppose 0 = 3*y + 3*d + 3, -15*y - 12 = -13*y + 4*d. Suppose 361 = -2*b + y*b + 3*a, b = -2*a + 178. Calculate the remainder when b is divided by 43.
16
Let q = 3532 + -2038. Calculate the remainder when (-107)/(6/(-2) + 0 + 2) is divided by q/72 - (-5)/4.
19
Let l(m) = 7*m**2 + 40*m - 234. What is the remainder when l(21) is divided by 66?
63
Let y(o) = 8*o + 2 + 2*o**2 - 2*o + 0. Suppose -2*g = -3*f - 290, 4*g - 353 = 3*f + 239. What is the remainder when g is divided by y(-6)?
37
Let k(d) = -d**2 + 4*d + 37. Let g be k(-4). Suppose 0 = -g*f + 30. Suppose f + 6 = -3*j, -z = -2*j - 28. Calculate the remainder when z is divided by 8.
4
Suppose -4*l + 76 = -192. Let b = -41 + l. Calculate the remainder when b is divided by 10.
6
Let u(j) = -j**2 - 19*j - 39. Let p(v) = -v - 6. Let t be p(10). What is the remainder when (-17)/2*4*-1 is divided by u(t)?
7
Let h = 277 + -77. What is the remainder when h is divided by 1 + 5 - ((-4)/30 + (-1254)/45)?
30
Suppose -75*p + 980 = -57*p + 350. What is the remainder when p is divided by 11?
2
Suppose -612*b + 2048 = -604*b. Suppose -44*v + 60*v = b. What is the remainder when 61 is divided by v?
13
Let r = -4 + 4. Let a = r - 18. Let g = 29 + a. What is the remainder when 43 is divided by g?
10
Let q be 22*3*-4*(-3)/72. Suppose -q*v - 320 = -16*v. Suppose -27 = -m - 10. Calculate the remainder when v is divided by m.
13
Calculate the remainder when 1431 is divided by (-13)/(-2)*(-21720)/(-7059).
11
Let q(m) = 123*m - 1804. What is the remainder when 993 is divided by q(15)?
9
Calculate the remainder when (10/((-420)/(-63)))/((-1)/(-398)) is divided by 15.
12
Suppose -3*w + 2*s = -36, -2*w + s + 17 + 7 = 0. Calculate the remainder when 2351 is divided by w.
11
Suppose -c - 4*j + 122 = 0, -3*c - 131*j + 133*j = -464. Calculate the remainder when c is divided by 79.
71
Suppose 3*i = 3*y - 687, 4*y - 8*y - 4*i + 916 = 0. What is the remainder when 466 is divided by y?