e remainder when m is divided by 63.
60
Calculate the remainder when (-206)/(-4) + (-4)/8 is divided by (-2)/(-5) + 1792/70.
25
Let c = 14 + -4. Let s(w) = -w**3 + 6*w**2 - 5*w + 4. Calculate the remainder when s(4) is divided by c.
6
Suppose 10*f = 2*f. Suppose 4*b + 2*j - 64 - 16 = f, -5*b + 5*j = -70. What is the remainder when 67 is divided by b?
13
Suppose 321 = 5*t + 236. What is the remainder when 100 is divided by t?
15
Suppose -183 = -4*o + 29. Calculate the remainder when o is divided by 10.
3
Let s(f) be the second derivative of -8*f**3/3 + 6*f**2 + 9*f. Let u be s(11). What is the remainder when u/(-5) - (-11)/55 is divided by 18?
15
Suppose 4 = -u, u + 3*u + 94 = 3*s. Calculate the remainder when 699 is divided by s.
23
Suppose -3*i + i + 165 = -3*b, 3*b + 417 = 5*i. Suppose 5*m - 76 - i = 0. What is the remainder when m is divided by 19?
13
Let z(v) = v**2 - 12*v - 43. What is the remainder when 52 is divided by z(-4)?
10
Let f(x) be the first derivative of -x**4/2 + x**2/2 + 1. What is the remainder when f(-1) is divided by ((10 - 7)/(-3))/(-1)?
0
Let d(s) = 2*s**3 + 19*s**2 - 14*s - 95. Calculate the remainder when d(-9) is divided by 29.
25
Let v = 12 + -7. Let b(i) = i - 32. Let l be b(-13). Let g = -37 - l. What is the remainder when g is divided by v?
3
Let p(k) be the third derivative of -k**6/120 + k**5/15 + 3*k**4/8 - 5*k**3/3 + 24*k**2. What is the remainder when p(5) is divided by 2?
0
Suppose 0 = 3*x + 2*x - 170. Suppose 0*j = -11*j + 99. Let s = j - -3. What is the remainder when x is divided by s?
10
Suppose -9*h + 0*h = 864. Let v = -24 - h. What is the remainder when v is divided by 38?
34
Let y(v) = 24*v + 42. Calculate the remainder when y(-1) is divided by 10.
8
Let v(g) = 4*g - 3. Let c = 116 + -58. Suppose -5*z + c = -67. What is the remainder when z is divided by v(4)?
12
Suppose -4 = -0*c - c, -c + 3 = i. Let f(x) = -46*x**3 + x**2 + x. Calculate the remainder when f(i) is divided by 25.
21
Suppose -59*h + 172 = -949. What is the remainder when 328 is divided by h?
5
Let z be (4/8)/((-2)/48). Let w = z - -23. Let k = 39 + w. Calculate the remainder when k is divided by 13.
11
Suppose 3*k + 444 - 90 = 3*g, -12 = 3*k. What is the remainder when g is divided by 60?
54
Let h(o) = 8*o**2 + 4*o - 1. Calculate the remainder when 296 is divided by h(-2).
20
Let d(b) = b**3 - 39*b**2 + 10*b - 121. What is the remainder when d(39) is divided by 30?
29
Suppose -21 = -29*j + 617. Calculate the remainder when 41 is divided by j.
19
Suppose -2*l + 5*b - 3*b + 18 = 0, -5*l + 2*b + 57 = 0. Calculate the remainder when 401 is divided by l.
11
Let h(b) = -2*b + 35. Let n = 225 - 134. What is the remainder when n is divided by h(2)?
29
Let p be (2/(-3) - (-320)/60)*21. Let k = p + 5. Calculate the remainder when k is divided by 26.
25
Calculate the remainder when 2*(-17)/2*(-377)/29 is divided by 115.
106
Let w(g) be the third derivative of -g**6/120 - g**5/60 - g**4/24 + g**3/3 - g**2. Let m = -188 + 185. What is the remainder when 90 is divided by w(m)?
21
Let d(z) = -18*z - 636. What is the remainder when d(-66) is divided by 37?
34
Let g(q) = 3*q**2 + 3*q + 18. What is the remainder when 213 is divided by g(-3)?
33
Let c = 53 - 10. Let w(v) = v**3 - 18*v**2 + 18*v - 1. Let u be 1/(-2)*-2 - (-27 + 11). Calculate the remainder when c is divided by w(u).
11
Suppose -o = -2*o + 3*h + 28, 3*h = 3*o - 78. Suppose o*g - 21*g - 48 = 0. Calculate the remainder when 71 is divided by g.
11
Suppose x + 3*a = -53 + 246, 3*x + 2*a = 579. Let b(n) = 6*n + 3. What is the remainder when x is divided by b(6)?
37
Suppose 2*k - 49 = d, 2*k - 3*d = -0*k + 47. Suppose 5*u = 3*s - 7*s + 219, u - 59 = 3*s. Calculate the remainder when u is divided by k.
22
Let g(q) = 75*q - 6420. Let m(k) be the second derivative of 5*k**3/6 - k**2 + k. Calculate the remainder when g(86) is divided by m(2).
6
Let t be (-2 + 0 - -3)*0. Suppose -3*v - w = -3*w - 565, t = 5*v - 4*w - 941. What is the remainder when v is divided by 48?
45
Suppose 414 = -10*c + 16*c. Let z be (-1 - 1/4)*-16. Let y = 34 - z. Calculate the remainder when c is divided by y.
13
Let p = 30 + -26. Suppose -g - 2*i + 42 = 0, -p*i - 29 = 4*g - 201. What is the remainder when g is divided by 9?
8
Suppose 3*a + 679 - 691 = 0. Let p(r) = r + 15. Let g be p(-9). What is the remainder when a is divided by 0 + 0 + g/2?
1
Let j(x) = x**3 - 8*x**2 + 15*x + 9. Let o = -16 - -27. What is the remainder when j(7) is divided by o?
10
Let h = -3176 + 3184. Calculate the remainder when 348 is divided by h.
4
Suppose 437 + 410 = 11*u. Calculate the remainder when u is divided by 27.
23
Suppose -4*q + 61 = 3*s - 41, s - 2 = 0. What is the remainder when 339 is divided by q?
3
Let u(p) = p**2 + 2*p - 11. Let m(c) = 5*c - 1. Let y be m(-1). Calculate the remainder when 23 is divided by u(y).
10
Let g = 482 + -475. Calculate the remainder when 65 is divided by g.
2
Let w = 181 - 85. Suppose 4*h - w = -72. Suppose 4*m + 21 = 5*m. What is the remainder when m is divided by h?
3
Let x = 26 + -16. Suppose x*c - 34 = 8*c. Calculate the remainder when 33 is divided by c.
16
Suppose -2*t = -1 + 3, 5*t = -p - 2. Suppose 3*x - 21 = -3*f, -p*f - 5*x = -7 - 6. What is the remainder when 54 is divided by f?
10
Suppose 5*g - 20 = 3*a, 4*a = g + 9 + 4. What is the remainder when -23 - (6 + -21) - -91 is divided by g?
6
Suppose 2*j - 26 + 6 = 0. What is the remainder when 19 is divided by j?
9
What is the remainder when (-26 - 0)*-6*(-10)/(-15) is divided by 28?
20
Let t(f) = f + 1. Let g be t(1). Suppose 3 = -g*c - 7. Let r(v) = -v**3 - 6*v**2 - 8*v - 6. Calculate the remainder when 35 is divided by r(c).
8
Let h(v) = v**3 + 14*v**2 - 12*v + 55. What is the remainder when 17 is divided by h(-15)?
7
Let f(q) = 4*q - 7. Let m be f(8). Suppose -m = -3*u + 2*u. Let y = -78 + 126. What is the remainder when y is divided by u?
23
Suppose -2639 = -13*x - 429. Calculate the remainder when x is divided by 43.
41
Let p(y) = 2*y**2 + 56*y + 351. Calculate the remainder when 61 is divided by p(-7).
4
Let b(u) = -u**3 + 11*u**2 - 5*u + 3. Let i be b(9). Suppose 2*p - 40 + i = 0. What is the remainder when (21/35)/((-2)/p) is divided by 8?
4
Suppose 0 = -5*s - 3*c + 221, -s + c + 56 - 15 = 0. Calculate the remainder when 385 is divided by s.
41
Suppose -3*j = -0*j - 3, 0 = 5*s - 3*j - 402. Let d = -78 + s. Calculate the remainder when 10 is divided by d.
1
Suppose -4*h + 412 = -3*f, -5*h + 809 = 4*f + 294. Let r = h - 22. Calculate the remainder when r is divided by 3 + 3 + 2 + 20.
25
Let d = 10 + -8. Suppose 0*k = d*k - w - 15, 5*k - 4*w - 39 = 0. Let v = 20 - k. Calculate the remainder when v is divided by 4.
1
Let c(a) = 3*a**2 - 2*a + 4. Let p(w) = 3*w**2 - 5*w - 7. Calculate the remainder when p(6) is divided by c(-3).
34
Let f = -10 + 31. Let y = f + -13. Let x(l) = l**3 + 9*l**2 + 5*l - 3. Calculate the remainder when x(-8) is divided by y.
5
What is the remainder when 397 is divided by 5 - ((-2)/20 - 596/40)?
17
Suppose 7*s - 2*x = 9*s + 2, 3*s = -2*x. Let i = -3 + 6. Calculate the remainder when i is divided by s.
1
Let p(c) = c**2 - 5*c - 6. Let v be p(-4). Let s be v*3/12*-2. Let x = 18 + s. What is the remainder when 3 is divided by x?
0
Let u(i) = 1 + 4*i - 40*i + 6*i. Suppose 51 = 8*k - 13. Calculate the remainder when u(-1) is divided by k.
7
Suppose 0 = -0*l - 2*l + 266. Let s = l + -22. Calculate the remainder when s is divided by 28.
27
Let n = 39 + -33. Suppose -5*v + 125 = 5*t, 105 = 3*t + 3*v - n*v. What is the remainder when 85 is divided by t?
25
Suppose -2*z = -2*p + 606, 3*p - 2*z = 712 + 197. Calculate the remainder when p is divided by 14.
9
Let a = 117 - 63. Let q = -29 - -40. What is the remainder when a is divided by q?
10
What is the remainder when -1 + 0 - (-128 - (8 - 15)) is divided by 36?
12
Let o(z) = -4*z**3 + 2*z - 2. Let b be o(-3). Let n = 13 + b. What is the remainder when n is divided by 19?
18
Suppose u - 4*a - 55 = -0*a, 5*a - 58 = -2*u. Suppose 15*p - 453 = 12. Suppose 8*h = -p + 199. Calculate the remainder when u is divided by h.
18
Let q(k) = -20*k + 204. What is the remainder when q(4) is divided by 16?
12
Let x(t) = -t**3 - 13*t**2 - 2*t - 10. What is the remainder when (0 - (-2 + 3))