the remainder when w is divided by u(2)?
3
Let r(t) = 6*t**2 - 13*t + 10. Calculate the remainder when r(6) is divided by 23.
10
Let v(w) be the third derivative of -w**5/60 + 11*w**4/24 + 2*w**3 - 7*w**2. Calculate the remainder when 42 is divided by v(10).
20
Suppose 3*b = 11 - 2. Let m = 2 - b. Let i = 6 - m. What is the remainder when 32 is divided by i?
4
Suppose -2*t - 3*q + 1837 = 0, 5*t - 5*q - 4584 = -4*q. What is the remainder when t is divided by 27?
26
Let i = -1149 - -1247. Calculate the remainder when i is divided by 10.
8
Let l be 132/(-55) - 6/10. Let f = 6 + l. Suppose g = 5*m - 3*g - 20, -f*g - 4 = -m. What is the remainder when 9 is divided by m?
1
Let l = -36 - -37. What is the remainder when 0 + l + (24 - 2) is divided by 13?
10
Let t = -44 - -92. Suppose -t*y = -43*y - 15. What is the remainder when 17 is divided by y?
2
Let x(q) = -q**2 + 2. Let k be x(-2). Let v = -339 - -347. What is the remainder when k*(-4)/(v/5) is divided by 2?
1
Let p = 49 - 49. Suppose -7*b - 2*b + 189 = p. What is the remainder when b is divided by 11?
10
Suppose -5*p = 4*c - 52, 4*c - 4 = p - 0*p. Calculate the remainder when 247 is divided by p.
7
Suppose 5*y - 39 - 66 = 5*b, -4*b + 44 = 4*y. Let x = 24 - -20. What is the remainder when x is divided by y?
12
Let k(s) = 11*s**2 - 12*s + 13. Let h(r) = -r**3 + 5*r**2 - 3*r + 1. What is the remainder when k(2) is divided by h(4)?
3
Suppose -x + 4*o + 191 = -82, 1285 = 5*x - 4*o. What is the remainder when x is divided by 17?
15
Let b = -33 - -40. What is the remainder when b is divided by 4?
3
Suppose 0 = -4*x - 3*j - 22 + 63, 0 = 4*x - 3*j - 23. What is the remainder when 270 is divided by x?
6
Suppose 31*a = -2*s + 33*a + 620, a - 1265 = -4*s. Calculate the remainder when s is divided by 32.
27
Let u(k) = 9*k - 150. What is the remainder when 76 is divided by u(18)?
4
Suppose 2*f + 48 = 4*f. Suppose b + 3*b = -f. Let k(i) = -4*i. Calculate the remainder when k(b) is divided by 9.
6
Suppose 2*c = -0*y + 4*y - 50, 0 = y + c - 8. Suppose 2*i + 11*z = 7*z + 90, 3*i + 3*z = 132. Calculate the remainder when i is divided by y.
10
Let r(u) be the first derivative of u**2 - 10*u + 126. Let a = 27 - 19. What is the remainder when 23 is divided by r(a)?
5
Let q = 39 - 42. Let g(w) = -w + 2 - 7*w + 2*w. What is the remainder when g(q) is divided by 12?
8
Let l(p) = -3*p + 66. Let u be l(19). Let b be ((-3)/4)/((-4)/(-16)). What is the remainder when 27 is divided by b/u - 124/(-12)?
7
Let w = -41 - -43. Suppose -w*d = 7 - 183. Calculate the remainder when d is divided by 18.
16
Let j be (-24)/(-1) - 0/(-3). Suppose 3*f + 0*f - 108 = 0. Let l = f - j. What is the remainder when l is divided by 7?
5
Let w(i) = i**3 - 27*i**2 + 53*i - 65. What is the remainder when 727 is divided by w(25)?
7
Let k be 14/28 + 226/4. Suppose -v - k = 49. Let f = -26 - v. Calculate the remainder when f is divided by 27.
26
Let t be (-1 - (-3 + 1))*3. Suppose t*v + 3*v + 12 = 0. What is the remainder when 49 is divided by ((21 - v) + 2)*1?
24
Let g = 2 + 0. Suppose 0*v = -g*f - 5*v + 67, f + 5*v - 31 = 0. Suppose 3*m - 9*m + f = 0. Calculate the remainder when m is divided by 4.
2
Let z(t) = -2*t**2 + 2. Let m(n) = -2*n - 9. Let k be m(-6). Let y be z(k). Calculate the remainder when 19 is divided by (-168)/y*(-2)/(-3).
5
Let d = 19 - 17. Suppose k = -2*k - 5*v + 7, -3*k = d*v - 19. Calculate the remainder when 17 is divided by k.
8
Let k be (-38)/8 - (2 + (-22)/8). Calculate the remainder when 79 is divided by k/(-6) - (57/(-9) + -1).
7
Let k = -127 + 129. Suppose 85 = 4*i - x, 4*x - 15 = -k*i - x. What is the remainder when 72 is divided by i?
12
Let b(i) = 2*i - i - i**2 + 16 + 2 + i**3. Let y be 0/((-2 + -1)/(-3)). Calculate the remainder when b(y) is divided by 5.
3
Let i(n) = -15*n + 221. Calculate the remainder when i(12) is divided by 11.
8
Suppose 32 + 18 = 2*u. Suppose -3*s + 10 = -5*h, -h + 4*h - 2*s + 6 = 0. What is the remainder when 99 + (-2 - h) + -1 is divided by u?
23
What is the remainder when 25 is divided by 1640/72 + (1 - 7/9)?
2
Suppose 5*v - 350 = f + 3*f, -153 = -2*v - f. Let n = 106 - v. What is the remainder when n is divided by 7?
4
Let v = 461 + -405. Calculate the remainder when v is divided by 22.
12
Suppose -3*g - 2*s + 246 = 0, -5*g - 102 + 512 = 2*s. Suppose -i = 4*y - 90, -2*i = 4*y + 3*i - g. What is the remainder when y is divided by 13?
10
Let s(p) be the second derivative of 0 + 8*p - 8/3*p**3 + 2*p**2. Calculate the remainder when s(-3) is divided by 18.
16
Let v = 34 + -29. Suppose 0 = v*b + 4*c - 188, 3*b = b + c + 83. What is the remainder when b is divided by 14?
12
Suppose -53 - 35 = -11*i. Suppose -5*p = 4*t - 30, -4*t - 6 + 30 = 2*p. Calculate the remainder when i is divided by p.
0
Let i(a) = a**3 + 16*a**2 - 20*a - 34. Calculate the remainder when 40 is divided by i(-17).
6
Let l = 142 + -68. Let b(g) = 43*g - 20 + 54 - 42*g. Calculate the remainder when l is divided by b(-15).
17
Let q = -341 - -361. Calculate the remainder when q is divided by 3.
2
Suppose 3*t = -2*b + 5, 0 = 5*b - t - 9 - 12. Let i(f) = -2*f**2 + 5*f - 4. Let v be i(b). What is the remainder when 2/v - 13425/(-200) is divided by 17?
16
Let f(q) = 2*q**2 - 39*q + 76. Calculate the remainder when 263 is divided by f(18).
21
Let b = -456 - -463. Suppose 0*h - 70 = -5*k - 3*h, -3*h = -15. Calculate the remainder when k is divided by b.
4
Suppose 0 = 5*w - 458 + 8. What is the remainder when 49 is divided by -10*w/(-48)*(-8)/(-6)?
24
Suppose 5*c - 4*z = 247, -4*c + 5*z + 92 = -2*c. Let d = -34 + c. What is the remainder when 49 is divided by d?
15
Let g(i) = -2*i**2 + 19*i + 37. Let v(q) = -q**2 + 10*q + 18. Let f(b) = -3*g(b) + 7*v(b). Calculate the remainder when f(13) is divided by 9.
6
Let x(w) = -3*w**2 - 42*w + 4. Let h be x(-14). Suppose -128 - 108 = -h*n. Calculate the remainder when n is divided by 17.
8
Let x be (-3)/(-21) - (-310)/(-14). Let p = 17 + x. Calculate the remainder when 39 is divided by p*(57/(-15) - -1).
11
Let s(z) = z**2 - 11*z + 30. Suppose -5*j + 94 - 32 = k, 4*j + 176 = 4*k. Calculate the remainder when k is divided by s(9).
11
Let h(j) be the second derivative of j**4/12 + 13*j**3/6 - j**2/2 - 11*j. Calculate the remainder when h(-14) is divided by 4.
1
Suppose 1373 = 5*i + 5*y - 287, -5*i = 2*y - 1645. Calculate the remainder when i is divided by 103.
18
Let s(a) = -a**2 + a + 7. Let n be s(5). Let i = n - -25. Calculate the remainder when i is divided by 6.
0
Let m(g) = -4*g + 37. What is the remainder when m(8) is divided by 4?
1
Let r(n) = n**3 - 28*n**2 - 51*n - 201. Calculate the remainder when r(30) is divided by 47.
22
Let x(y) = y**2 + 12*y + 3. Let n be x(-6). Let v = -2 - n. Let h(w) = 2*w**2 + 10*w + 21. What is the remainder when v is divided by h(-2)?
4
Suppose -31*l + 17*l = -756. What is the remainder when 57 is divided by l?
3
Suppose 0 = 4*i - 2*b - 14, 4*b - 13 - 1 = i. Suppose 3*x = -14 + 152. What is the remainder when x is divided by i?
4
Let u be 10/(-4)*752/(-40). Suppose -u = -2*g - i, 0*i - 5*i = g - 46. Let h = g + -10. What is the remainder when 42 is divided by h?
9
Let s(v) = v**2 - 13*v - 36. Calculate the remainder when s(-12) is divided by 72.
48
Let j(h) = -h**3 - 6*h**2 + h - 16. Let c be j(-7). Let r = c + -1. What is the remainder when r is divided by 14?
11
What is the remainder when 235 + 15/(0 - 5) is divided by 13?
11
Suppose -2*r = -3*o - 0*o - 6, 0 = 4*r + 3*o - 48. Suppose r*g = 4*g + 55. Calculate the remainder when 41 is divided by g.
8
Suppose 3*p - 3*x - 324 = 0, 4*x + x + 112 = p. What is the remainder when p is divided by 2*15 + 29/((-87)/(-18))?
35
Suppose 0 = 35*f - 5021 - 5549. What is the remainder when f is divided by 34?
30
Let d(k) = -k**2 - 14*k + 19. Let u(l) = -l**2 + 3*l + 28. Let z be u(8). What is the remainder when d(z) is divided by 11?
10
Let y(h) be the first derivative of -h**4/4 + 3*h**3 + h**2/2 - 2*h + 3. Let u = 19 + -7. Calculate the remainder when u is divided by y(9).
5
Let q = -108 - -155. Suppose 98 = 16*p - 286. Calculate the remainder when q is divided by p.
23
Calculate the remainder when 155 is divided by -13*(4 - (0 - -5)).
12
Let p be 1/(3 - (-22)/(-8)). Suppose -p*v + 140 = -4*b, -5*v = -4*b + 5*b - 