uppose 103 = l + 4*l + d*h, l = -h + 19. Calculate the remainder when 88 is divided by l.
19
Let b(k) be the second derivative of -k**5/20 + 25*k**4/12 + k**3/6 + 11*k**2/2 - 30*k. Calculate the remainder when b(25) is divided by 13.
10
Suppose 0*y = -3*y. Suppose 68 = 4*g - y*g. Suppose 215 = -12*t + g*t. Calculate the remainder when t is divided by 11.
10
Let y = 26 + -45. Let v = y + 34. Calculate the remainder when 43 is divided by v.
13
Suppose i - 2*k = 41, -36*i - 187 = -41*i + 4*k. What is the remainder when 66 is divided by i?
31
Let f(g) = -g**3 + 4*g**2 + 12*g + 2. Let u be f(6). Suppose -3*z = z + u*c - 160, -5*c + 120 = 3*z. Calculate the remainder when z is divided by 16*1 + 0 + -2.
12
Let h = 111 - 63. Suppose -3*f = -h - 54. What is the remainder when f is divided by 7?
6
Suppose 5*h - 5*n = -70, 0 = -4*h + 3*n - 34 - 21. Let z = -10 - h. What is the remainder when 4*-4*(z + -5) is divided by 17?
15
Suppose 2 = -2*a + 6. What is the remainder when 72 is divided by -39*(-2)/6 + a?
12
Let q be (-4)/(-10) - 1043/(-5). Suppose 4*l + 4*t - 103 + 11 = 0, 4*t - 11 = -l. What is the remainder when q/4 + (-2)/8 is divided by l?
25
Let w(a) = -3*a + 2. Let k be w(-2). Let q = k + 0. Calculate the remainder when ((-5)/4)/(1/(-12)) is divided by q.
7
Let f = -28 + 93. Calculate the remainder when f is divided by 34.
31
Let p(f) = f**3 - 11*f**2 + 11*f - 13. Let n be p(10). Calculate the remainder when n + (171/3 - -3) is divided by 15.
12
Let n(z) = 1 - 3 + 1 + 4 + 48*z. Let v be n(-2). Let y = 136 + v. Calculate the remainder when y is divided by 15.
13
Suppose 2*w + 2*o - 105 = -37, -2*w = -4*o - 74. Calculate the remainder when (33 + 1/1)*3 is divided by w.
32
Let d = -161 - -91. What is the remainder when 89 is divided by (-3 - d/6)/((-4)/(-6))?
11
Let g = -24 + 17. Let r(l) = 2*l**2 + 10*l + 10. What is the remainder when r(g) is divided by 53/4 + (-2)/8?
12
Let i(b) = b**2 - 5*b - 77. Suppose 5*x + 50 = 10*x. Calculate the remainder when i(13) is divided by x.
7
Let l(t) = t**2 - 3*t + 121. What is the remainder when l(-13) is divided by 21?
14
Let u(t) = 222*t**2 - t + 1. What is the remainder when u(-1) is divided by 33?
26
Let u = 24 - 15. Suppose -30*o - 1050 = -65*o. What is the remainder when o is divided by u?
3
Suppose -3*c - c = 3*b - 168, -4*b = -2*c + 106. What is the remainder when c/3 - (-1)/1 is divided by 6?
4
Let q = 24 - 39. Let w be 238/15 - 2/q. Let u = w - 0. Calculate the remainder when 79 is divided by u.
15
Suppose -3*n = -2*l + 92, -n = -4*n. What is the remainder when 224 is divided by l?
40
Let r = 23 + -20. Suppose -z - r*z + 128 = 0. Let x = z - -21. What is the remainder when x is divided by 27?
26
Let r(i) = -14*i**3 - 4*i - 1. Let f be r(2). Let s = -82 - f. Calculate the remainder when 77 is divided by s.
38
Let h = -1401 - -1439. What is the remainder when h is divided by 19?
0
Let x = -3 - -4. Let p(b) = -b**3 - 6*b**2 + 27*b - 1. Let u be p(-9). What is the remainder when 38 is divided by x - -22 - (4 + u)?
18
Let r(n) = -6*n. What is the remainder when ((-868)/126*-3)/((-4)/(-6)) is divided by r(-3)?
13
Let o = 1 - -23. Let p be 4*(-20)/8 - 0. Let h = p + o. What is the remainder when h is divided by 8?
6
Let u(v) be the first derivative of v**3/3 + 7*v**2/2 - 13*v - 3. Let l be u(-9). Suppose -l*q - 11 = -136. Calculate the remainder when q is divided by 9.
7
Suppose 4*b - 3*k = 44, 3*k - 33 = 2*b - 49. What is the remainder when 248 is divided by b?
10
Suppose -y - g + 122 = 0, 6*g - 9*g + 118 = y. What is the remainder when y is divided by 74?
50
Suppose -34*a + 740 = 3*a. Let j(y) be the first derivative of y**3/3 + 1. What is the remainder when j(-6) is divided by a?
16
Suppose 0 = -56*w + 989 - 37. Calculate the remainder when 44 is divided by w.
10
Let d(j) be the second derivative of 0 + 1/2*j**2 + j - 43/6*j**3. What is the remainder when d(-1) is divided by 23?
21
Suppose 23*b = 20*b + 132. What is the remainder when 272/b + (-4)/22 is divided by 5?
1
Let y = -22 + 71. Suppose -q - 2*i + y = 0, -5*q + 2*i = 4*i - 253. Suppose s - 4*s + q = 0. What is the remainder when 33 is divided by s?
16
Let z(l) = -2*l**2 + 22*l - 25. Calculate the remainder when 493 is divided by z(7).
28
Suppose -5*f + 4 = -9*f. Let t(x) = -6*x - 1. Let n be t(f). Suppose -c + 2*s = -26 - 25, -n*s = -3*c + 154. Calculate the remainder when c is divided by 14.
11
Suppose -f + 0*f - 3*r + 11 = 0, -f = 2*r - 11. What is the remainder when 28 is divided by f?
6
Let c(t) = t**2 - t. Calculate the remainder when (15/2)/(91/546) is divided by c(4).
9
Suppose -s + x + 7 + 4 = 0, -4*s - 5*x + 53 = 0. What is the remainder when 114 is divided by s?
6
Let a(r) = -35*r**3 - r**2. Let o(q) = -q**2 - 17. Let w be o(-6). Let u = w - -65. Calculate the remainder when a(-1) is divided by u.
10
Suppose -12 = -4*a, 5*a - 82 = -4*z + 145. Let g = -17 + 3. Let m = 4 - g. Calculate the remainder when z is divided by m.
17
Let t = -1 - -9. Let z be 3 + 53 + (5 - 1). Suppose -98*v = -95*v - z. Calculate the remainder when v is divided by t.
4
Suppose 2*o - 25*j + 27*j = 142, 4*o = j + 294. What is the remainder when 186 is divided by o?
40
Let k(t) = t. Let y be k(0). Suppose 2*z = -y*z + 16. Let u = 29 - 26. What is the remainder when z is divided by u?
2
Suppose 0*p = 5*p - 175. Let j(y) = -22*y + 511. Calculate the remainder when j(17) is divided by p.
32
Calculate the remainder when 82 is divided by (2 + -4)*-11 - (-9 + 5).
4
Let n(h) = -h**3 + 7*h**2 + 23*h - 15. What is the remainder when 95 is divided by n(9)?
5
Suppose -3*j + 243 = -3*l - 120, -j - 5*l = -103. Calculate the remainder when 1061 is divided by j.
117
Let b(f) = 5*f**2 - 23*f - 12. Let h be b(12). Let s = 615 - h. What is the remainder when s is divided by 46?
45
Suppose -2*n = j - 100, 9*j - 12*j + 250 = -4*n. What is the remainder when j is divided by 7?
6
Let l = -509 + 567. Calculate the remainder when 166 is divided by l.
50
What is the remainder when (-595)/(-10) - 1/2 is divided by 32?
27
Suppose -195 = -3*y + 42. Let j be (96/(-10))/((-2)/(-10)). Let c = -28 - j. Calculate the remainder when y is divided by c.
19
Let w = -250 - -469. Calculate the remainder when w is divided by 44.
43
Let o be ((2 + -3)/1)/(18/270). Let s = o + 31. Calculate the remainder when 45 is divided by s.
13
Let h(x) = -x**3 + 6*x**2 + 8. Let u be h(6). Let k(c) = c**3 - 9*c**2 + 8*c - 2. Let l be k(u). What is the remainder when 51 is divided by 0/(-3) - -11 - l?
12
Suppose k + 16 = 3*k. Let s(j) = -2*j - 7. Let c be s(-9). Suppose -92 = -c*m + 7*m. Calculate the remainder when m is divided by k.
7
Let o = 1719 + -1690. Calculate the remainder when 231 is divided by o.
28
Suppose 0 = -5*v + 12 + 3, -5*g - v = -13. Let j be 5/(1/g + 0). What is the remainder when ((-150)/(-20))/(3/j) is divided by 7?
4
Suppose -5*a = -4*j + 358, -335 = -5*j + 3*a + 106. Calculate the remainder when j is divided by 11.
10
Suppose -28*o = -26*o - 54. Calculate the remainder when (-157)/(-3) - (-16)/24 is divided by o.
26
Let y(q) = 10*q + 5. Suppose -1089 = -7*m - 26*m. Calculate the remainder when y(9) is divided by m.
29
Let t(i) = -2*i + 30. Suppose -321 = -b - 3*x - 38, 4*b - 5*x - 1217 = 0. Suppose -5*h = -3*h - b. What is the remainder when h is divided by t(-4)?
35
Let t(b) = b**3 - 3*b**2 - 3*b - 5. Let l be t(5). Suppose -6*z = -3*z - l. Calculate the remainder when 28 is divided by z.
8
Suppose -2*r = 2*r. Suppose 0 = -2*u - r*u + 146. Suppose -5*h - 133 = -12*h. What is the remainder when u is divided by h?
16
Let y(f) = 6*f**2 - 2*f + 1. Let v be y(2). Let c = -12 + v. Calculate the remainder when 10/(120/(-102))*(-12)/3 is divided by c.
7
Let y(f) = -158*f + 2. Let n(r) = 79*r - 1. Let o(t) = -7*n(t) - 4*y(t). What is the remainder when o(1) is divided by 20?
18
Let j be ((-8)/(-20)*2)/((-2)/(-5)). Calculate the remainder when 27 is divided by (3/j)/((-3)/(-20)).
7
Let n = -78 + 76. Suppose -3*c + 13 = -o + 109, -2*c = 4*o - 314. What is the remainder when o is divided by 5/(20/92) + n?
18
Let n(b) = 24*b**3 + 3*b**2 - 47*b + 44. Suppose 2*x = 5*x - 207. What is the remainder when x is divided by n(1)?
21
Suppose -104 = 195*h - 203*h. What is the remainder when 90 is divided by h?
12
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