 remainder when t is divided by l.
11
Calculate the remainder when 176 is divided by (-1 - 2/(-1)) + 140/4.
32
Let t(k) = 25*k**2 + 10*k - 8*k**2 - k**3 - 10 - 11*k**2. Suppose -3*q + 63 = 4*u, 2*u - 63 = -0*q - 3*q. Calculate the remainder when q is divided by t(7).
10
Let s = 12809 - 12801. Let y(k) = k + 4. Let c(l) = l + 5. Let o(t) = 4*c(t) - 5*y(t). Calculate the remainder when s is divided by o(-3).
2
Calculate the remainder when 4608/(1 - -7) + -8 is divided by 57.
55
Suppose -7*m + 1784 - 468 = 0. Let i = 284 - m. Let p(q) = -q**3 - 3*q**2 - 5*q - 3. What is the remainder when i is divided by p(-4)?
30
Let h(g) = 11*g**2 + g. Let r = 33 + -31. What is the remainder when h(r) is divided by 24?
22
Let w(u) = -2*u**2 + 16*u + 10. Let m be w(10). What is the remainder when 88 is divided by 20*(-3 + m/(-8))?
13
Suppose 3*q - 45 = -2*q. Suppose 0*d = 4*d - 4*x - 24, -5*d + 3*x + 24 = 0. Calculate the remainder when q is divided by d.
0
Suppose 8*x - 3*x = 15. Suppose -x*p + 7 = 1. Let y(i) = 2*i**2 + 24*i + 5. What is the remainder when y(-12) is divided by p?
1
Let v(z) = -2*z + 115. What is the remainder when v(-12) is divided by (28/5)/(2/10)?
27
Let p = 2119 - 1876. What is the remainder when p is divided by 83?
77
Suppose 0 = -67*l + 71*l - 300. What is the remainder when l is divided by -8*((-6)/(-8) + -4)?
23
Let k(v) be the first derivative of -2*v**2 - 78*v + 10. Calculate the remainder when 26 is divided by k(-20).
0
Let h(p) = p + 10. Let f be h(-10). Let u = 1 - f. Suppose 5*j = -4*z + 51, -4*z + u = -2*j - 1. What is the remainder when 11 is divided by j?
4
Suppose -4*z - p - p = -90, -5*p = 2*z - 33. Calculate the remainder when 109 is divided by z.
13
Let c(g) = 17*g - 3. Suppose -12 = -5*z + 8. Let u(r) = 4*r - 1. Let o(q) = z*c(q) - 18*u(q). Calculate the remainder when 86 is divided by o(-3).
14
Let r = 884 - 879. Suppose -2*d - 2*o + 31 = 3*o, -9 = 3*o. Calculate the remainder when d is divided by r.
3
Suppose -594 = 1054*h - 1057*h. Calculate the remainder when h is divided by 12.
6
Let o be (-11)/((-99)/(-60))*-3. Suppose 70 - o = 5*w. What is the remainder when 19 is divided by w?
9
Suppose 119*x - 115*x - 180 = 0. Calculate the remainder when 88 is divided by x.
43
Let f be 222/9 - (-4)/(-6). Suppose -f = -2*t - 4*y, -6*y + 2*y = 0. Let k(m) = m**3 - 13*m**2 + 12*m + 3. Calculate the remainder when 8 is divided by k(t).
2
What is the remainder when 86 is divided by 3188/38 - 9*(-30)/2565?
2
Suppose -6*b + 2*b + 5*j = -305, -b = -5*j - 95. Calculate the remainder when b is divided by 22.
4
Suppose 0 = -2*y - j + 4, 2 = -5*y + 5*j - 3. Let i(r) = 4*r**3 + 3*r**2 - 3*r + 1. Calculate the remainder when i(y) is divided by 2.
1
Let w(v) be the first derivative of v**4/4 - 5*v**3/3 + 7*v**2/2 - 13*v - 40. What is the remainder when w(6) is divided by 34?
31
Suppose -y - v + 27 = 7, v = -3*y + 54. Suppose 0 = 3*d - 3*s - 93, -10 - y = -d - 3*s. Let z = d - 23. Calculate the remainder when 10 is divided by z.
3
Suppose -2*i = -3*v + 19 - 177, 5*i + 255 = -5*v. Let f = -22 - v. What is the remainder when 115 is divided by f?
25
Suppose 2*l + o = 3, 22 + 5 = 3*l - 3*o. Suppose 0 = -n + 3*n - l. Suppose n*v - 2*h = 8, h + 12 = 5*v - 0*v. What is the remainder when 5 is divided by v?
1
Let q(j) = -j**3 + 7*j**2 + 11*j + 4. Let t(u) = 4*u**3 - 20*u**2 - 34*u - 12. Let c(z) = 7*q(z) + 2*t(z). Calculate the remainder when c(-7) is divided by 10.
9
Suppose p - 4*m - 28 - 63 = 0, -5*p - 4*m + 479 = 0. Let w = -2 - -2. Suppose w*a = 3*a - 72. What is the remainder when p is divided by a?
23
Let z = 715 + 431. What is the remainder when z is divided by 28?
26
Let f = 600 - 342. What is the remainder when f is divided by 9?
6
Suppose -x = 2*p - 12, 4*x - 3*x - 8 = 2*p. Let s(a) = a**3 + 12*a**2 + 3*a + 5. Let n be s(-8). Calculate the remainder when 5/(-10) - n/(-6) is divided by x.
9
Let n(r) = 39*r - 67. What is the remainder when n(4) is divided by 34?
21
Suppose 6 = -i + 7*w - 3*w, 3*i - 3*w - 27 = 0. Calculate the remainder when 37 is divided by i.
9
Let d(u) = 8*u**3 - u**2 + 3*u - 3. Calculate the remainder when 44 is divided by d(1).
2
Let r = 18 - 10. Suppose 2*g + 3 = 1. What is the remainder when r is divided by 6 - g/((-4)/12)?
2
Let z(g) = -7*g + 120. Calculate the remainder when 26 is divided by z(15).
11
What is the remainder when 2 + -1 - (-28 - -12) is divided by 0 + -3 - ((-14 - -9) + -5)?
3
Let v(o) = -o**3 + 9*o**2 + 3*o + 7. Suppose -3*s + 18 = -18. What is the remainder when v(9) is divided by s?
10
Let a(m) = 2*m + 149. What is the remainder when a(-43) is divided by 17?
12
Suppose -4*k = -5*g + 131, -8 = 4*k - 12. Calculate the remainder when 229 is divided by g.
13
Suppose 1 = -2*r - 23. Let y = -3 - r. Suppose 4*x = 2*x + 32. What is the remainder when x is divided by y?
7
Suppose -b + 0*b = -91. Suppose s - b = -0*s + 4*v, 4*v = 2*s - 186. Let q = -55 - -79. Calculate the remainder when s is divided by q.
23
Let l = 504 - 495. Suppose -3*q + 2*v = -116, -26 + 1 = -5*v. Calculate the remainder when q is divided by l.
6
Suppose -r - 4*r + 20 = 0. Let i(w) = -w**3 + 8*w**2 + 11*w - 13. What is the remainder when ((-26)/r)/(9/(-18)) is divided by i(9)?
3
Suppose -3*s = 2*k - 380, -s = k - 0*k - 192. Calculate the remainder when k is divided by 11.
9
Let d(c) = -c**3 - 19*c**2 - 19*c + 17. Let f = 16 + -34. Calculate the remainder when 104 is divided by d(f).
34
Let u = 72 + -49. Calculate the remainder when u is divided by (-1694)/(-143) - 4/(-26).
11
Suppose 0 = -p + 4*z - 12 + 13, 0 = p - 2*z - 11. Calculate the remainder when p is divided by 5.
1
Let o(p) = 6*p**3 + 46*p**2 + 10*p - 14. What is the remainder when o(-7) is divided by 8?
0
Let v(g) = -10*g**2 - g + 15. Let w(i) = -12*i - 5. Calculate the remainder when w(-4) is divided by v(0).
13
Let i(b) = -3*b**2 + 23*b - 13. Let k be i(7). Let p(w) = -w**3 + 8*w**2 + 2*w - 12. Let u be p(8). What is the remainder when k/(1/(u - -54)) is divided by 12?
10
Let z(q) = q**3 + 6*q**2 - 5*q - 10. Let h = 7 - 13. Calculate the remainder when 55 is divided by z(h).
15
Let w(t) = t**3 + 5*t**2 - t - 3. Let i = -41118 - -41125. What is the remainder when w(-4) is divided by i?
3
Let g(k) = -4*k + 5*k + 2*k - 4*k + 3 + 2*k**2. Let z be g(5). Calculate the remainder when (-1)/(-3)*z/2 is divided by 3.
2
Suppose 5*f - 107 - 5 = 3*j, -2*f = j - 47. What is the remainder when f is divided by 3?
2
Suppose 0 = -5*l + 4*a + 132, 99 = 9*l - 5*l - a. Calculate the remainder when l is divided by 24.
0
Let m(p) be the third derivative of p**6/120 - p**5/15 + p**4/6 - 5*p**3/6 + 15*p**2. Calculate the remainder when 64 is divided by m(4).
9
Suppose -5*o + 3*y = -64, -3*o + 47 = -4*y + 13. Suppose 0 = o*k - 10*k - 144. What is the remainder when k is divided by 13?
10
Let u(b) = 4*b**2 + b - 5. What is the remainder when 101 is divided by u(3)?
33
Let l(y) = 73*y**3 + y**2 - 1. Let c = -39 + 40. Suppose -4*k - 26 = -2*f, -3*f = -2*f - k - 16. What is the remainder when l(c) is divided by f?
16
Suppose -3*j = 10 - 16. Suppose 2*c - 84 = -4*h - 0*c, -h = -j*c - 31. Suppose w - a - h = a, 3*a = 2*w - 43. What is the remainder when 67 is divided by w?
16
Suppose -4*d - 68 + 260 = 0. Calculate the remainder when d is divided by 0 + 19 - (-72 - -66).
23
Let p = -1208 - -1314. Calculate the remainder when 417 is divided by p.
99
Suppose 132 = 5*k - 3*d, -3*k - 4*d + 2*d = -64. What is the remainder when 39 is divided by k?
15
Let w(h) = -h**3 + 23*h**2 - 3*h + 96. What is the remainder when 970 is divided by w(23)?
25
Suppose 2*v = -3*c + 160, 2 = v - 2*c - 92. Let q = v - 33. Calculate the remainder when q is divided by 14.
11
Let x(v) = 14*v + 3. What is the remainder when x(6) is divided by 66/15*(10 - 5)?
21
Let p(k) = 5*k**3 - 3*k**2 + 7*k - 8. Let h be p(3). Let q = -102 + h. Calculate the remainder when 93 is divided by q.
17
Let c(f) = 5*f - 22. Let i be c(5). Suppose -7*p + i*p = -5*v - 261, -p - v = -72. Calculate the remainder when p is divided by 2*3*(-8)/(-2).
21
Suppose -55*c + 51*c + 12 = 0. Let t = 17 - 14. Suppose -t = -5*j + 22. Calculate the remainder when j is divided by c.
2
Suppose 4*r - 2*k = 40, 5*r - 2*k - k - 52 = 0. Suppose -3*z + 0*z + 2*o = -160, -10 = 2*o.