ed by f.
4
Let j(h) be the second derivative of 0 + 1/2*h**3 + 1/20*h**5 + 4*h - 1/6*h**4 + 0*h**2. What is the remainder when 21 is divided by j(2)?
3
Suppose -7*n = -81 - 171. Calculate the remainder when 133 is divided by n.
25
Calculate the remainder when ((-63)/(-14) + -3)*(-1670)/(-15) is divided by 54.
5
Suppose -105 = -4*m - 3*m. Let l(x) = 5*x + 31. What is the remainder when l(m) is divided by 27?
25
Let x = -173 - -202. Calculate the remainder when x is divided by 3.
2
Suppose 4*h + 86 = 22. Let d = h - -24. What is the remainder when d is divided by 6?
2
Let u = -29 + 41. Let x(h) = -h + 15. Suppose -n + 9 = -1. What is the remainder when n is divided by x(u)?
1
Suppose 0 = 2*b + 33*m - 29*m - 60, 2*b = -5*m + 61. Calculate the remainder when 139 is divided by b.
27
Let u = 407 - 337. What is the remainder when 137 is divided by u?
67
Let r(m) = 3. Let g(w) = -w. Let q(i) = 3*g(i) - r(i). Let x be q(-3). Suppose x = j - 8. Calculate the remainder when 26 is divided by j.
12
Let x = 302 + -263. What is the remainder when 115 is divided by x?
37
Let q = -19 + 34. Let b be (-36)/(-1) + -1 + 4. Suppose 4*i = -b + 211. Calculate the remainder when i is divided by q.
13
Calculate the remainder when 2330/4*(-8)/(-10) is divided by 47.
43
Let l(n) = -n - 17. Let p be l(-16). Let w(t) = -10*t**3 + 3*t + 2. Calculate the remainder when 15 is divided by w(p).
6
Suppose -3*l + 504 = -5*h, 0 = -23*l + 28*l - 5*h - 830. Calculate the remainder when l is divided by 35.
23
Suppose -2*y = 3*q - 457, -3*y + q + 47 + 655 = 0. What is the remainder when y is divided by 47?
45
Suppose 2*z + 2*h = 20, -4*h - 3 + 13 = z. Let f(q) = 55*q - 458. Calculate the remainder when f(9) is divided by z.
7
Let y = 41 - 29. Suppose 0 = -2*j + 104 + y. Calculate the remainder when j is divided by 20.
18
Let v(y) = 2*y**2 - 5*y - 12 - 7*y**2 - 9*y**3 + 8*y**3. Calculate the remainder when 37 is divided by v(-5).
11
Suppose 90*d + 177 = 3147. Suppose -2*z + 7*z - 50 = 0. What is the remainder when d is divided by z?
3
Suppose 0 = 23*m - 0 - 138. What is the remainder when 10 is divided by m?
4
Let h(x) = 62*x - 738. Calculate the remainder when h(14) is divided by 45.
40
Let f(s) = 3*s + 10. Let o be f(-8). Suppose x - 4*t = -3*x + 128, -3*t - 152 = -5*x. What is the remainder when 82/4 - o/x is divided by 6?
3
Let x = 85 - 38. Suppose -5*f + 7*f - 14 = 0. Calculate the remainder when x is divided by f.
5
Suppose -257*h = -253*h - 312. Calculate the remainder when 114 is divided by h.
36
Suppose -80 = -90*z + 84*z + 4*x, -5*z + 2*x + 60 = 0. Suppose y - 46 = 2*k - 6*k, 0 = -y + k + 31. Calculate the remainder when y is divided by z.
4
Let z(j) = -2*j**3 - 4*j**2 + 3*j + 35. What is the remainder when z(-5) is divided by 87?
83
Suppose 5*o = -o + 354. Let y = o - -29. What is the remainder when y is divided by 31?
26
Suppose 4*q + 5*z = 161, -93*q + 97*q - 3*z = 121. What is the remainder when 54 is divided by q?
20
Suppose 2*k + 24 = 4*a + 2, -22 = -3*a - 4*k. Let b(v) = 10*v + 107. Let c be b(-14). Let u = a - c. Calculate the remainder when u is divided by 14.
11
Let w(x) = 2*x - 27. Let b be w(10). Let p = b - -14. Calculate the remainder when 54 is divided by p.
5
Let d be (72/15)/((-16)/(-200)). Suppose d = -3*w + 207. Calculate the remainder when w is divided by 13.
10
Let c = -563 - -671. Calculate the remainder when 212 is divided by c.
104
Suppose -4*a = -m + 18, -8*m + 10*m - 5*a = 54. What is the remainder when m is divided by (-23)/(-2) - (-2)/(-4)?
9
Let y(m) = m + 16. Suppose 3*d + 17 + 1 = 0. Calculate the remainder when y(21) is divided by (-52)/d*(-18)/(-12).
11
Suppose 22*c - 5983 = -1121. What is the remainder when c is divided by 6?
5
Suppose 0 = 3*i + 2*i - 5*u - 80, -2*u + 80 = 5*i. Let x(r) = -r + 4. Let k be x(-9). Let g = 22 - k. What is the remainder when i is divided by g?
7
Suppose -688 = -15*x + 527. Let m = x + -69. What is the remainder when 16 is divided by m?
4
Suppose 0 = 31*l - 11*l - 520. Calculate the remainder when 127 is divided by l.
23
What is the remainder when 6 + 954/6*(-4)/(-3) is divided by 109?
0
Let g(h) = -h**2 - 4*h + 274. Let b be g(0). Let n = b + -180. What is the remainder when n is divided by 19?
18
Let i = 27 - 26. Let m(h) = 18*h**3 - h**2 - 2*h + 2. Calculate the remainder when 65 is divided by m(i).
14
Let s(n) = 3*n**2 - 1. Suppose 3*d + k - 146 = 0, 0 = -4*d - 3*k + 304 - 111. Let z = -6 + d. What is the remainder when z is divided by s(-2)?
10
Let k(s) = -s**3 + 12*s**2 + 19*s - 9. Suppose 3*j - 3 = 3. Suppose 3*d + 0*d - j*b = 35, -2*d = -b - 24. What is the remainder when k(d) is divided by 18?
15
Suppose 0*x = -2*x + 12. Suppose 0 = -x*d + 2*d + 8. Suppose -5*m + 40 = -0*l - 2*l, -2*l = -d*m + 10. What is the remainder when m is divided by 4?
2
Let t = 255 - 238. Let b = 1 + 4. Suppose o - 82 = -2*x + 5*o, -o - b = 0. What is the remainder when x is divided by t?
14
Let k(d) = 2*d. Let i be k(0). Suppose 4*r = -i*r. Suppose -2*p - 2*p + 12 = r. Calculate the remainder when 11 is divided by p.
2
Calculate the remainder when -40 + 46 + 142 + 1 is divided by 15.
14
Suppose 68 = 11*z - 64. Suppose -z*w + 124 + 56 = 0. What is the remainder when 56 is divided by w?
11
Let b(x) = -74 - 5*x + 74. Suppose -2*z + 4 + 3 = -w, -z + 8 = -2*w. Calculate the remainder when 28 is divided by b(w).
13
Calculate the remainder when 946 is divided by 3/(12/16) - 455/(-5).
91
Let i = 20 + 4. Suppose 0 = -5*h - 4*b + 7, 0*h = -4*h - 5*b + 2. Suppose h*t + 70 = 8*t. What is the remainder when i is divided by t?
10
Let x(n) be the second derivative of -n**3/6 - n**2/2 + 5*n. Let u be x(-3). What is the remainder when (-520)/(-15) + u/6 is divided by 12?
11
Let j(r) = -2*r**3 - 8*r**2 - 6*r - 2. Let f(g) = -5*g - 5. Let s be f(0). What is the remainder when j(s) is divided by 16?
14
Let p be (-15 - 7) + -1 + -1. Let z be (-3)/4 + (-138)/p. Suppose -z*s + 36 = -s. What is the remainder when 15 is divided by s?
6
Suppose -3*u + 473 = 2*g, 5*u - 795 = -g - g. Calculate the remainder when u is divided by 55.
51
Let b = -42 + 45. Suppose 12 + 27 = b*l. Calculate the remainder when l is divided by 4.
1
Let f = -468 - -470. Let z(k) = -9 - 1 + 0*k**2 + k**3 - 8*k**2 + 9*k. Calculate the remainder when z(7) is divided by f.
0
Let u(q) be the third derivative of q**4/24 + 11*q**3/3 + 17*q**2. What is the remainder when u(-6) is divided by 9?
7
Let p be -2*(-102)/(6/2). Suppose c - p = -54. Calculate the remainder when c is divided by -12*(10/(-6) + 1).
6
Let m(o) = -o**2 + 4*o - 3. Let s be m(3). Let w(t) = 17*t**3 + 2*t + s*t + 0*t**2 + 1 - 3*t + t**2. Calculate the remainder when w(1) is divided by 7.
4
Let f = -22 + 26. Let y = f - -2. Calculate the remainder when y is divided by 3.
0
Let o(s) = 2*s**2 - 2. Suppose 3*q = -3*w + 30, -3*w - 30 = -q - 2*q. What is the remainder when q is divided by o(-2)?
4
Suppose 0 = -18*d - 39*d + 9120. Calculate the remainder when 617 is divided by d.
137
Let n(a) be the first derivative of 17*a**3/3 + a**2 + 5*a - 30. What is the remainder when n(4) is divided by 32?
29
Suppose -2*i = -i - 5*h - 41, 5*h + 149 = 4*i. Calculate the remainder when (55/(-22) - -2)*-212 is divided by i.
34
Let f be (-4 - -5)*(0 + 0). Let g(u) = u**2 - 5*u - 9. Let b be g(7). Suppose -b*r + 224 - 34 = f. What is the remainder when r is divided by 10?
8
Suppose -8*v + 9*v + 2*k = 111, 0 = 2*v + 3*k - 218. What is the remainder when v is divided by 15?
13
Let d = -463 + 498. What is the remainder when d is divided by 18?
17
Let h be (-85 + 0)/((-55)/(-11) - 6). Suppose -4*s = 4*f + 228, -5*f - 4*s = -s + 277. Let d = f + h. What is the remainder when 94 is divided by d?
30
Let c(t) be the first derivative of 5*t**4/2 + t**3 - t**2/2 - 1. Let f = -315 + 317. Calculate the remainder when c(f) is divided by 23.
21
Suppose -12 = -5*z - 2. Let s(y) = 15 - 6*y - 4 - y**2 - 4. Calculate the remainder when s(-6) is divided by z.
1
Let g be 276/10 - (-4)/10. Suppose 5*l - 3*w = 62, 5*l - g = l - 3*w. Calculate the remainder when 57 is divided by l.
7
What is the remainder when ((-10)/50)/((-140370)/(-28075) - 5) is divided by 45?
43
Let i(k) = -k**3 + 4*k**2 + 6*k + 3. What is the remainder when 76 is divided by i(5)?
4
Suppose 