l(f) = -63*f + 11. What is the remainder when l(-6) is divided by u?
73
Let t(g) = 124*g - 64*g - g**3 + 17*g**2 - 61*g + 48. What is the remainder when 99 is divided by t(17)?
6
Let s(m) be the third derivative of m**6/60 - 19*m**5/30 + m**4/3 - 46*m**2 + 1. What is the remainder when s(19) is divided by 39?
35
Suppose 0 = y - 12 + 1. Suppose -17*x = -7*x - 1490. Let a = -142 + x. What is the remainder when y is divided by a?
4
Let f(n) = 2*n**2 + 10*n + 13. What is the remainder when (-2 - -447) + (-4)/(-2) is divided by f(-6)?
22
Let p(a) = -a**3 - 14*a**2 - 25*a + 2. Let m be p(-12). Suppose -m*b - 172 = -2104. What is the remainder when b is divided by 141/6*-2*-1?
44
Let a(p) be the first derivative of 63*p**4/2 - 2*p**3/3 + p**2 - p - 164. Calculate the remainder when a(1) is divided by 21.
20
Let h(p) = 138*p - 5818. Calculate the remainder when 118 is divided by h(43).
2
Suppose -3*c - 5*b + 0*b = -3, 3*c - 3 = 2*b. Let i be (1 + 1/2)*2/c. Suppose i*r + 2*r = 175. Calculate the remainder when r is divided by 19.
16
What is the remainder when (-2)/(-10) - (1 - (-3387)/(-15)) is divided by 5?
0
Let u = 285 - 250. Let n = 50 - u. What is the remainder when 20 is divided by n?
5
Suppose -4*b + 40 = c - 33, -5 = -b. Suppose -9*s - 178 = -10*s. Suppose 174*o - s*o = -56. Calculate the remainder when c is divided by o.
11
Suppose j - 4*z = -3*j, 5*z = 3*j + 6. Suppose 4*q + 42 = 2*v, j*v + 20*q = 24*q + 59. What is the remainder when 32 is divided by v?
15
Let g = 284 - 279. Suppose g*x + 5*c - 502 = -97, -2*c + 244 = 3*x. Calculate the remainder when x is divided by 12.
10
Suppose 2*p + 408 = 4*x, 0*x + 5*p = 3*x - 299. Let t = 2878 + -2766. What is the remainder when t is divided by x?
9
Let y = 1481 + -817. What is the remainder when 1334 is divided by y?
6
Suppose 45*x + 4585 = 38*x. Calculate the remainder when 141 is divided by x/(-9) - 98/(-441).
68
Suppose 3*y + 0*d - 4*d = 244, -5*d + 315 = 4*y. Let s = 61862 + -61547. What is the remainder when s is divided by y?
75
Let d = -11413 + 11961. Calculate the remainder when d is divided by 94.
78
Let y = 16513 + -16188. What is the remainder when 1326 is divided by y?
26
Suppose -3*u = -0*u - 72. Suppose -11*m - 7956 = -u*m. What is the remainder when 177 is divided by (-15)/25 + (m/10)/2?
27
Let i(y) = -48*y + 384. Let r(l) = -3*l + 24. Let d(s) = 2*i(s) - 33*r(s). Suppose -6*q + 2*q = -52. Calculate the remainder when 43 is divided by d(q).
13
Suppose 3*v + 3*v = 228. Let t(z) = z**3 - 7*z**2 + 4*z + 16. Let k be t(7). Let i = k - v. Calculate the remainder when i is divided by 5.
1
Let b = -30 - -30. Suppose 4*p - 48 - 28 = b. Let j = 180 - 51. Calculate the remainder when j is divided by p.
15
Let i(o) = 2*o + 178. Let l be i(-27). Suppose -502 = -6*d - l. What is the remainder when d is divided by 11?
8
Let t = -734 + 708. Let u(d) = -3*d + 30. What is the remainder when u(t) is divided by 32?
12
Suppose 405 - 886 = -12*c + 527. What is the remainder when 541 is divided by c?
37
Suppose -2*m = -16*m + 210. Let x = 678 - 456. Calculate the remainder when x is divided by m.
12
Suppose 0 = s + 134*f - 133*f - 62, -5*f = -20. What is the remainder when s is divided by 6/(-5)*100/(-6)?
18
Suppose -6*r = -10 - 2. Suppose t = o - 13, r*o + 5*t - 61 = -0*t. Let d(v) = 5*v - 27. Calculate the remainder when d(o) is divided by 16.
15
Let i = 19 - 11. Suppose 2*s + 5 - 1 = 2*n, i = 3*n - s. Suppose -7*c = -n*c - 876. What is the remainder when c is divided by 44?
43
Let r = 11183 - 11023. Calculate the remainder when 1278 is divided by r.
158
Let r be 126/35 + -3 - (-503)/(-5). Let y = 114 + r. Calculate the remainder when y is divided by 6.
2
Let x(t) = -3*t**3 + 39*t**2 + 299*t - 8. What is the remainder when x(-7) is divided by 223?
170
Let l(b) = -b**2 + 125*b - 1797. Calculate the remainder when 844 is divided by l(108).
25
Let w = 103 - 80. Let g(h) = -h**3 + 23*h**2 + h + 52. Let s be g(w). Suppose m - s - 10 = 0. Calculate the remainder when m is divided by 18.
13
Let p(k) = -27*k + 69. Let c be p(-4). Suppose -x - 2*z + c = 17, 0 = z - 1. Calculate the remainder when x is divided by 53.
52
Let y(a) = a**2 + 5*a. Suppose u - 9 = 2*k, -2*k - 2*u - 22 = -4. Let c be y(k). Calculate the remainder when (-255)/c*(-18)/15 is divided by 26.
25
Let y(b) = -119*b**2 + 1708*b - 39. Calculate the remainder when y(14) is divided by 61.
0
Let a = 5 - 0. Suppose -4*k + 3*r = -33, 5*r = 3*k + 15 - 48. What is the remainder when 5/k - 147/(-18) is divided by a?
4
Suppose 3*s - 193 = -22. Suppose 60*d - s*d = 69. Suppose 3*z - 36 = -2*w, -w - 4*z = -0*z - d. What is the remainder when 133 is divided by w?
13
Let m(p) = -p**2 + 16*p - 47. Calculate the remainder when 23 is divided by m(6).
10
Let k(s) be the third derivative of 2*s**4/3 + 67*s**3/6 - 111*s**2 - 2*s. What is the remainder when k(2) is divided by 26?
21
Let n = 16 + 39. Suppose 5*o + n = 3*x + 4*o, 2*o - 10 = 0. What is the remainder when x is divided by 2?
0
Suppose -5*r = 5*x - 7980, 2*r = 496*x - 495*x - 1614. Calculate the remainder when x is divided by 73.
69
Let a(q) = 10*q - 28. Suppose -32*p + 33*p - 5 = 0. Calculate the remainder when 109 is divided by a(p).
21
Suppose 2189 = -11*t + 2255. What is the remainder when 129 is divided by t?
3
Suppose -14*u + 34 = 3*u. Suppose -90 = -x - 4*m, -2*m + 84 = -x + u*x. Calculate the remainder when x is divided by 14.
8
Let n = -14974 - -15012. Calculate the remainder when 2925 is divided by n.
37
Suppose -3*y = -295 + 13. Let i = -91 + y. Calculate the remainder when i is divided by ((-2)/(-4))/(1/6).
0
Suppose 5*b = -3*d - 140, -d + b - 38 = 14. What is the remainder when (-2)/((-8)/(-2)) + (-3575)/d is divided by (48/14)/(3/21)?
23
Let x = 6 + 19. Suppose 1585 = 37*j - 32*j - 5*o, 5*j + 4*o - 1630 = 0. Calculate the remainder when j is divided by x.
22
Let w = -4 - -61. Suppose -3*d = -2*d + b, 5*b = 0. Suppose d = -2*v - 3*g + w, -g = v + 2*g - 36. Calculate the remainder when v is divided by 12.
9
Suppose 256 = 2*w + 4*v, -4*w + 2*v + 547 = 3*v. Suppose -w = -13*t + 70. Calculate the remainder when 46 is divided by t.
14
Suppose 5*k + 27*x = 26*x + 760, 2*k - 327 = -5*x. Suppose 2*s + 500 = 6*s. Let n = k - s. Calculate the remainder when 75 is divided by n.
23
Let y(m) be the third derivative of m**6/120 + 2*m**5/15 - m**4/24 - m**3/3 + 3*m**2. Suppose -4 - 4 = -4*l. What is the remainder when y(-8) is divided by l?
0
Let m = 26 - 170. Let y = m - -151. What is the remainder when 13 is divided by y?
6
Let d = -14577 - -19672. Calculate the remainder when d is divided by 98.
97
Let c = 20124 - 20023. What is the remainder when 950 is divided by c?
41
Let v be (-2)/(-3) + 22/3. Let r(w) = 2*w**2 - 14*w - 8. Suppose -4*o + 119 = 5*j - 55, 3*o + 126 = 3*j. What is the remainder when j is divided by r(v)?
6
Let b(v) = v**3 + v**2 + v. Let k be b(-2). Let s be ((-30)/(-9) + -4)*k. Let r(h) = 3*h - 1. Calculate the remainder when 43 is divided by r(s).
10
Let t(m) = -m**3 + 12*m**2 - 10*m - 38. What is the remainder when 672 is divided by t(3)?
9
Suppose 22*i - 8 = 21*i - 4*v, -4*i - 4*v = -92. What is the remainder when 2350 is divided by i?
26
Let k = -2 - -40. Suppose h - k = -0*h. Calculate the remainder when h is divided by 3.
2
Calculate the remainder when 123 is divided by (-1)/(5/10) - 4 - (-8 + -11).
6
Suppose -421 - 911 = -6*d. Suppose 0 = -2*h + 2*n + 56, 3*h + 2*n + 0*n = 84. Calculate the remainder when d is divided by h.
26
Suppose 6650 = -0*d - 10*d. Let f be (-1 + 183/(-5))*d/38. Suppose -f = -7*c - 245. What is the remainder when c is divided by 12?
11
Suppose 3*c + 23 - 8 = 0, -2*j + 21 = -3*c. Suppose -15 = -3*i, 115 = 8*l - j*l + 2*i. Let u = 4029 + -3996. What is the remainder when u is divided by l?
12
Let p(o) = -24*o - 11 + 1 - 4 + 6. Calculate the remainder when p(-7) is divided by 7.
6
Let d(c) = -2*c**3 - 39*c**2 - 105*c + 25. Calculate the remainder when d(-17) is divided by 103.
56
Suppose -6*j + j = -760. Let b(f) = f**3 + 7*f**2 - 8*f - 1. Let o be b(-9). Let d = j + o. What is the remainder when d is divided by 16?
13
Let d(y) = 87*y + 1420. Calculate the remainder when d(-15) is divided by 11.
5
Suppose 46*r - 3*r - 11968 = -21*r. What is the remainder w