t b(t) be the third derivative of 7*t**5/60 - 5*t**4/8 + 2*t**3/3 - 4*t**2 - 2. Calculate the remainder when b(6) is divided by 17.
13
Let t = 307 + -207. Suppose -5*o + o + t = 0. Suppose 4*r - 2209 = -43*r. Calculate the remainder when r is divided by o.
22
Let k(w) = -46*w - 78. Let j(b) = 139*b + 237. Let m(s) = -6*j(s) - 17*k(s). What is the remainder when 78 is divided by m(-3)?
18
Calculate the remainder when 7036*(245/(-28) + 9)*1 is divided by 40.
39
Suppose 0 = 2*z - 137*y + 132*y - 2521, 0 = -4*z + 5*y + 5087. What is the remainder when z is divided by 88?
51
What is the remainder when (4104/(-456))/(1/(-678)) is divided by 55?
52
Suppose -36*j - 15167 = -5*t - 40*j, 0 = 3*j + 21. Calculate the remainder when t is divided by 18.
15
Let y be -3*20 + (-3)/(-2)*-2. Let j = 110 + y. What is the remainder when j is divided by 10?
7
Let j be (-2 - (-5 - (-3 + -1)))*-5. Suppose v = -j*d + 101, -d - 3*v = -3 - 20. Calculate the remainder when 74 is divided by d.
14
Let y(p) = -p**3 + 7*p**2 + 2*p + 6. Let i(d) = 3*d - 31. Let f be i(11). Let h(a) = 38*a - 7. What is the remainder when h(f) is divided by y(7)?
9
Let m(x) = 4*x**3 - x**2 + 32*x - 201. Calculate the remainder when m(6) is divided by 9.
0
Let o(s) be the second derivative of -31*s**3/6 + 497*s**2/2 - 69*s. What is the remainder when (0 - (-94 + 1)) + 0 is divided by o(15)?
29
Let v = -391 + -5. Suppose -6*h = 11*h - 1088. What is the remainder when h is divided by v/(-30) - (-2)/(-10)?
12
Let c = -12352 - -12617. Calculate the remainder when 779 is divided by c.
249
Let h(p) = -78*p + 20. Calculate the remainder when 119 is divided by h(0).
19
Let i(r) = 20*r + 24. Calculate the remainder when i(8) is divided by 48.
40
Let y = -12 + 26. Let s be 52*((-57)/(-12) + -3). Let m = -55 + s. Calculate the remainder when m is divided by y.
8
Let t be 2*45/12*(-64)/12. Let x = 45 + t. Let g(o) = o**2 - 6*o + 10. Calculate the remainder when 34 is divided by g(x).
4
Suppose 3*u = -12, 3*u = -3*p - u + 311. Calculate the remainder when 1304 is divided by p.
105
Calculate the remainder when 270 is divided by (3*(-14)/21)/(205/(-65) - -3).
10
Let j be -7 + (0 - -1 - (-8)/8). Let b be (j + 2)/(3/(-66)). Suppose 5*z - 71 = -p + 11, -5*p - b = -3*z. What is the remainder when z is divided by 5?
2
Suppose -x - 1340 = -5*t, 804 = -4*t + 7*t + 4*x. Suppose 15*k - 92 = t. Calculate the remainder when 91 is divided by k.
19
Let c be 2*(((-33)/(-6) - 4) + 1). Suppose -164 = -4*r - 52. Suppose p = 3, 4*y - p = -c*p + r. Calculate the remainder when 12 is divided by y.
0
Let t = -114 - -108. Let p be ((-106)/3)/(4/t). Suppose 56*l - 579 = p*l. What is the remainder when l is divided by 49?
46
Let x be ((-1)/(2/(-12)))/2. Suppose -2*h - 57 = -4*b + 21, -3*h + 72 = x*b. What is the remainder when (-655)/262*(-6)/20*80 is divided by b?
18
Let o(j) = 6*j**2 + 35*j - 4. Let r be o(-6). Suppose 4*a = 5*y - 296, -r*y - 3*a + 118 = -5*a. What is the remainder when y is divided by (-3 - -8)*42/10?
18
Calculate the remainder when 99 is divided by -9 + -2 + (-330)/(-11).
4
Suppose -v = -66 - 29. Suppose 5*x + 0*f + 2550 = -f, -1530 = 3*x + f. Let u = 542 + x. Calculate the remainder when v is divided by u.
31
Suppose -94*l + 13*l + 20188 - 5527 = 0. Calculate the remainder when l is divided by 8/20 + 183/5.
33
Suppose -31*o = -34*o + 6. Let w(x) = 15*x**2 + 2*x - 1. What is the remainder when o/6*(-1848)/(-8) is divided by w(1)?
13
Let r(s) = 2*s**2 - s - 33. Let f be (0/(-2))/(1 + -4). Let y be r(f). Let c = y + 39. What is the remainder when 25 is divided by c?
1
Let f = 231 + -112. Suppose f = 3*g - 4*x, -3*g - 2*g + 209 = 4*x. What is the remainder when g is divided by 5?
1
Let t(b) = -b**3 - 12*b**2 - 8*b + 32. Let j be t(-11). Let c be 2 - 3 - j - 5. What is the remainder when 5 is divided by -1 + 3 + c + 7?
1
Let t = -173 - -195. Let x(o) = -101*o + 2. Let q be x(-1). Let w = q - 64. What is the remainder when w is divided by t?
17
Suppose 56*z = 7933 + 9203. Let r = 34 - -45. Calculate the remainder when z is divided by r.
69
Let j(o) = -o**3 + o**2 + 462. What is the remainder when j(0) is divided by (-55)/198*-18 - -10?
12
What is the remainder when 381 is divided by 170/(-136) - (-2084)/16?
123
Suppose 3*d = 4*o + 29 + 1, 9*d - 24 = o. Calculate the remainder when 228 is divided by d.
0
Let o = -1457 + 1523. Calculate the remainder when 14849 is divided by o.
65
Let g = 2493 - 2290. What is the remainder when g is divided by 32?
11
Suppose 0 = 5*l - 159*l + 7941 + 837. Suppose -u - 20 = -2*u. Calculate the remainder when l is divided by u.
17
Suppose -547*q + 296 = -543*q - a, 3*a = 0. Calculate the remainder when 11171 is divided by q.
71
Suppose 43984 = 53*b + 15523. What is the remainder when b is divided by 18?
15
Let h = 404 - 401. Suppose -h*j + 5*k + 1223 = 0, -6*j + 4*j + 5*k = -807. What is the remainder when j is divided by 19?
17
Let w(y) = y**3 + 10*y**2 + 13*y - 24. Let a be w(-8). Suppose 0 = 4*j + p - 505, -5*j - 2*p + a*p = -629. What is the remainder when j is divided by 26?
23
Suppose -4*d + d - 5*c + 24 = 0, 5*d + 5*c = 30. Suppose -d = -q + 28. Let u = -5768 + 5776. What is the remainder when q is divided by u?
7
Suppose 48*s = -58*s + 6042. What is the remainder when s is divided by 37?
20
Let i(n) = n**2 + 6*n + 33. Suppose 5*l = -b + 4, 32 = -5*b - 0*l + l. What is the remainder when 263 is divided by i(b)?
32
Suppose -193*k + 66*k + 42201 = 8419. What is the remainder when 1359 is divided by k?
29
Suppose l - f - 69 = -l, -4*l = -f - 137. Let c be 17 - 4/8*(-24)/4. Suppose 7*o = 11*o - c, 5*s - 4*o = 990. Calculate the remainder when s is divided by l.
32
Let p = 72 - -48. Let z = p + -65. Suppose 1349 = -18*y + 6245. What is the remainder when y is divided by z?
52
Let u(d) = -d**2 - 10*d - 21. Let s be u(-6). Calculate the remainder when -3 + s - (905/(-5) - -7) is divided by 15.
9
Suppose 1588 + 11892 = 40*m. Calculate the remainder when m is divided by 52.
25
Suppose -53 = 4*v - 3*o - 265, -5*v + 265 = o. Suppose 0 = -4*n - t + 156, -n - 2*t + 3*t = -34. Let r = v - n. What is the remainder when r is divided by 6?
3
Suppose 5*c - 37 + 18 = -g, 0 = 3*c - 9. What is the remainder when 1945 is divided by g?
1
Suppose -10*p + 6723 - 6123 = 0. What is the remainder when 228 is divided by p?
48
Suppose -20*o + 7255 - 5915 = 0. What is the remainder when 936 is divided by o?
65
Let a(b) = 62*b - 87. Let x be a(29). Suppose 3*o - 3*f = 1716, -6*o - 2*f - x = -9*o. Calculate the remainder when o is divided by 71.
70
Let f = -3053 - -3156. Calculate the remainder when f is divided by 13.
12
Let g = -136 + 144. Suppose -g*v + 68 + 52 = 0. Calculate the remainder when 239 is divided by v.
14
Let z = -214 - -312. Let o = 146 - z. Calculate the remainder when o is divided by 10.
8
Let z = -5251 - -5288. Calculate the remainder when 3919 is divided by z.
34
Suppose -5*w - 10 = 10. What is the remainder when 6800/306 + (w/(-9))/(-2) is divided by 13?
9
Suppose 1144 = 5*b - 3*y, -10*y + 8 = -6*y. Calculate the remainder when b is divided by 60.
50
Suppose -2*f + 3*l = -286, 16 = -4*l - 0. Let j = -20463 - -20498. What is the remainder when f is divided by j?
32
Let b = 2399 + -2332. Calculate the remainder when 105 is divided by b.
38
Let o = -6128 - -6140. Calculate the remainder when 3607 is divided by o.
7
Suppose -5*o = 4*p + p - 100, -5*o + 10 = 0. What is the remainder when (-2*p + 6)/((-1)/4) is divided by 31?
27
Let l(o) = -o**3 + 7*o**2 + o + 3. Let f be l(-3). Suppose -80 = -f*i + 85*i. What is the remainder when i is divided by 13?
3
Let o(m) = m**2 - 9*m + 4*m - 12 + 3*m - 19. Calculate the remainder when o(9) is divided by 9.
5
Let y be (-5 + 3 - -121) + 0/14. Let j(n) = -7*n**2 + 2*n + 1. Let u be j(3). Let v = u + y. What is the remainder when v is divided by 22?
19
Let h = -5034 + 6175. What is the remainder when h is divided by 91?
49
Let b be (2 - 575/10)*8/4. Calculate the remainder when 35 is divided by (88/(-6))/(74/b).
13
Let r(o) = -o + 25. Suppose t = -4*t. Suppose t*d - 16 = -2*d. What is the remainder when r(d) is divided by 4?
1
Let f(v) = 167*v**2 - 15*v - 14. Let b be f(-1). Suppose -2*u + 5*a + 5 = -86, 4*a - b = -4*u. What is the remainder when 109 is div