x**2 + 7*x - 135. Let f(i) = -4*i**2 - 3*i + 68. Let l(v) = -2*c(v) - 5*f(v). Calculate the remainder when l(-6) is divided by 45.
23
Let c = -8134 + 11674. Calculate the remainder when c is divided by 11.
9
Let c = 24604 - 23720. What is the remainder when c is divided by 8?
4
Suppose -z = 2*z + 5*z. Suppose 0*u - 2*u + u = z. Suppose -q - 4 + 20 = u. What is the remainder when 126 is divided by q?
14
Let o(q) = q**3 + 8*q**2 - 2*q - 6. Let u be o(-8). Let n(a) = -a + 26. What is the remainder when 126 is divided by n(u)?
14
Let k = -64 - -73. Let z = -20 - -2. Let y = k - z. Calculate the remainder when 132 is divided by y.
24
Suppose 3*f = 67 + 26. Let c(q) = q**2 + 11*q - 62. Let r be c(4). Let x(l) = -6*l + 4. Calculate the remainder when f is divided by x(r).
15
Let l(o) = 6*o**2 - 4. Calculate the remainder when 16*21 + 4/(-2)*(219 - 222) is divided by l(-3).
42
What is the remainder when 18/(-261) + (-3341052)/(-1131) is divided by 173?
13
Suppose 0 = 36*i + 89 + 127. Let g(u) = 17 + u - 5*u - 3 - u**2. What is the remainder when 6 is divided by g(i)?
0
Suppose 17*c - 31*c + 490 = 0. Let i(l) = -53*l + 437. Calculate the remainder when c is divided by i(8).
9
Let c(j) = -307*j**2 + 546*j. Let n be c(2). Let g = -370 - -245. Let f = g - n. Calculate the remainder when 42 is divided by f.
9
Let u = -2216 - -2466. What is the remainder when u is divided by 55?
30
Suppose -2*j - 3*u - 177 = -1397, 4*j - u - 2468 = 0. Suppose j = 2*b - 6*b. Calculate the remainder when (-7)/(-14) + b/(-4) is divided by 20.
19
Suppose 4*a + 3*t - 70 = -0*a, -4 = 2*t. Suppose 0 = 2*n - a*n + 425. Calculate the remainder when n is divided by (-86)/(-6) + (-2)/(-3).
10
Let g(f) = 2*f**3 - 4*f**2 + 3*f - 1. Suppose 4*h - 6 = 2*h. What is the remainder when g(h) is divided by (2220/(-75))/(-37) - (-142)/10?
11
Calculate the remainder when 368 is divided by ((-25)/(-10) - 27)*-4*1.
74
Suppose 139*t - 1362 - 5449 = 0. What is the remainder when 7298 is divided by t?
46
Let j(y) = -3*y**3 + 199*y**2 - 246*y + 43. What is the remainder when j(65) is divided by 97?
80
Suppose 16*l = 4*p - 239 + 939, p - 5 = 0. What is the remainder when 137 is divided by l?
2
Let p(s) = -s**2 - 61*s + 663. What is the remainder when 389 is divided by p(-70)?
26
Let m(k) = k + 11. Let v be m(-10). Suppose -5*d = -v + 66. Let w(p) = p**2 + 11*p - 20. What is the remainder when 19 is divided by w(d)?
1
Suppose -35*f = 106*f - 664685 + 43439. What is the remainder when f is divided by 42?
38
Let g(b) = 4*b**2 - 21*b + 259. Calculate the remainder when g(8) is divided by 37.
14
Let c = -2612 + 2750. Calculate the remainder when c is divided by 17.
2
Suppose -8881*g = -8861*g - 3160. Calculate the remainder when 3789 is divided by g.
155
Let g(q) = q**2 - 89*q + 1612. Calculate the remainder when 97 is divided by g(66).
3
Suppose 8*b - 5*b - 6*g = 75, 3*g - 15 = -b. Let r(y) = -21*y**3 - 2*y**2 - 1. Let a be r(-2). Let m = -76 + a. Calculate the remainder when m is divided by b.
20
Suppose -85*z + 2770 + 5135 = 0. Calculate the remainder when 182 is divided by z.
89
Suppose -9*y - 2 = -2. What is the remainder when 28 is divided by ((-33)/(-12))/(3/12 - y)?
6
Suppose -17*m + 1703 - 207 = 0. Suppose 2*x - m = -3*a, -2 = -3*x + 5*x. What is the remainder when 147 is divided by a?
27
Suppose 3074 = 4*g - 5*q + 738, 5*q = 3*g - 1757. Calculate the remainder when g is divided by 8.
3
Let j(d) = d**3 - 14*d**2 + 41*d - 430. What is the remainder when j(14) is divided by 65?
14
Let z = -161 - -151. What is the remainder when 82 is divided by (-426)/z - 17/(85/(-2))?
39
Suppose -77*d = 44*d - 155425 + 30795. What is the remainder when d is divided by 511?
8
Suppose -w + 219 = 2*o + 6, -w + 431 = 4*o. Let q be ((-12)/(-9))/(8/(-12)). What is the remainder when o is divided by q*6*(-12)/9?
13
Let m(o) = -38*o - 660. Calculate the remainder when m(-22) is divided by 25.
1
Let s = 678 + -670. Suppose -b + 16 = -m, -s*m + 11*m = -2*b + 22. What is the remainder when (2 - 74)/(3/(-2)) is divided by b?
6
Let u(y) be the third derivative of 4*y**5/15 + 2*y**4/3 - 17*y**3/6 + 14*y**2 + 4. What is the remainder when 53 is divided by u(1)?
8
Let n be (1 - -3)*14/(-8). Suppose -3*u - 5*j = -u - 43, 5*j = -5. Let f = n + u. Calculate the remainder when 33 is divided by f.
16
Let m = -32 - -26. Let v = m - -13. Calculate the remainder when v is divided by ((-2)/(-4))/((-2)/(-16)).
3
Let r = -14976 + 15831. Calculate the remainder when r is divided by 306.
243
Suppose 4*g - 1 - 19 = 0. Let u(v) = 2*v - 10. Let c be u(6). Suppose g*k - 5*z = 5, -z + 0*z = 2*k - c. What is the remainder when k is divided by 1?
0
Suppose -3*f - l - 3*l + 148 = 0, -4*l = -3*f + 164. Let v(d) = -3*d**3 - 9*d - 22. Calculate the remainder when v(-4) is divided by f.
50
Suppose 28 = v - 4. Suppose 5*i = 4*g + 55, i = 17*g - 16*g + 11. Calculate the remainder when v is divided by i.
10
Suppose -4*r + 992 = 2*t, -t = 37*r - 32*r - 1243. What is the remainder when r is divided by 223?
26
Suppose 11*n = 369 + 577. What is the remainder when n is divided by 53?
33
Suppose -36*l + 23*l + 208 = 0. Calculate the remainder when 363 is divided by l.
11
Let w be ((-5)/(-4))/((-1)/4). Let q be ((-6)/9)/(w/(-75)). Calculate the remainder when (-94)/(-14) - q/35 is divided by 4.
3
Let h(t) = -t**3 + 7*t**2 + 46*t + 10. Let j = 5 - 7. What is the remainder when h(11) is divided by (1 - j)*136/24?
15
Suppose -6452 = -445*z + 25608 - 2245. Calculate the remainder when 1679 is divided by z.
4
Let m = 252 + -223. Suppose 0 = 8*u - m*u + 2751. Calculate the remainder when u is divided by 19.
17
Suppose 2100 = -445*c + 550*c. Calculate the remainder when 157 is divided by c.
17
Suppose a + 5*c - 86 = 0, -2*a + 6*a + 2*c = 362. Suppose 0*q = 4*q + w - a, -4*q - 5*w + 103 = 0. What is the remainder when q is divided by 5?
2
Let p(j) = j**3 + 5*j**2 + 7. Suppose -2*t + 4*c = -60, -t + 6*c + 35 = 3*c. What is the remainder when p(-4) is divided by (-166)/(-10) + (-12)/t?
7
Let v be (-9)/1 + 4 - 0. Let r(l) = -l**2 - 12*l - 14. Suppose -4*z + z = -123. Calculate the remainder when z is divided by r(v).
20
Suppose -57*s + 81 = -54*s. Suppose -s - 13 = -8*a. Suppose -a = -2*f + 37. Calculate the remainder when 27 is divided by f.
6
Suppose 2*x - 15 = -3*x - 3*z, -2*x - z + 5 = 0. Suppose 0 = -x*c + c + 11. Let o = c - -16. What is the remainder when o is divided by 3?
2
Suppose 4*a + 28 = -2*k, -5*a - 5*k + 4 = 29. Let s(z) = 3*z**2 - 10*z - 4. Calculate the remainder when (-367)/a + (-6)/(-27) + -2 is divided by s(5).
18
Suppose 3*b + 49 = u + u, -12 = -4*b. Calculate the remainder when 55 is divided by u.
26
Suppose 2*j - 252 = -2*d, d = 5*j - d - 609. Calculate the remainder when j is divided by -22*(-55)/44*8/5.
35
Let i(f) = -2*f**3 + 35*f**2 + 43*f - 24. What is the remainder when i(18) is divided by 142?
0
Let g(r) = 16*r**2 + 13*r - 2. Let c = 14 - 16. What is the remainder when 104 is divided by g(c)?
32
Let k be 77 - -298 - (5 - 0). Suppose s = -2*o - 3*s + k, 0 = -5*o - 3*s + 911. What is the remainder when o is divided by 4?
1
Let t(a) be the first derivative of a**4/4 + a**3/3 + 305*a + 59. What is the remainder when t(0) is divided by 28?
25
Let z = -84 + 88. Suppose z*q - 107 = 41. What is the remainder when 110 is divided by q?
36
Suppose -11*r + 3331 = 10*r - 9269. What is the remainder when r is divided by 89?
66
Suppose 5*t + 4*x = 9880, 2*t + 5*x - 1533 = 2402. Calculate the remainder when t is divided by 32.
28
Let h be -1*1*-53*(77 + -78). Let q = -11 - h. What is the remainder when q is divided by 3?
0
Suppose -10147 = -4*r + 3*f, -4*r + f = -2669 - 7468. What is the remainder when r is divided by 13?
11
Suppose 3858 = -526*w + 532*w. Calculate the remainder when w is divided by 34.
31
Let t(r) = r**2 + r - 5. Let y be t(-6). Let n = y + -3. What is the remainder when (-42)/273 - 1068/(-13) - -4 is divided by n?
20
Suppose -5*n - 2 = -7. Let p be (2 - n)/((-17)/(-119)). Suppose 0 = -3*d + p*d - 92. What is the remainder when d is divided by 9?
5
Suppose 2*m - 1756 = -2*s, 132*s = 4*m + 128*s - 3456. Calculate the remainder when m is divided by 35.
31
Let n be (-17)/(153/1188)*5/2. What is the remainder when 76 is divided by (4/(-10))/(-