w(-11) is divided by p.
1
Let g(z) be the first derivative of -z**4/4 - z**2/2 + 99*z + 2. Let p = 30918 - 30898. Calculate the remainder when g(0) is divided by p.
19
Let b be 2/(-2)*-1 - -84. Let p = -79 + b. Suppose 2*r = -4*c + 108, -182 = -p*r + 3*r - 2*c. What is the remainder when r is divided by 11?
9
Suppose w - 12078 = -205*u + 199*u, 5*u - 10088 = 3*w. Calculate the remainder when u is divided by 101.
95
Suppose -r = -p - 1, -4 = -r - 3*p + 13. Suppose 4*n - r*z - 23 = 44, 5*n - 5*z = 85. Calculate the remainder when 30 is divided by n.
12
Suppose 5*u - 1596 = -23*u. Calculate the remainder when 65 is divided by (-20)/15*(5 + u/(-6)).
5
Suppose -97*v + 2977 = -2261. Calculate the remainder when 2590 is divided by v.
52
Let c = -12264 - -12271. What is the remainder when 3686 is divided by c?
4
Let k(w) = 22*w**2 + 26*w + 25. Let q(z) = z**3 - 10*z**2 + 4*z + 19. Calculate the remainder when q(10) is divided by k(-1).
17
Suppose -4 = -w + 2. Let c(u) = -3*u**3 + 20*u**2 + 12*u - 20. Calculate the remainder when c(7) is divided by w.
3
Let b = -509 + 16. Let o = 710 + b. Calculate the remainder when o is divided by 21.
7
Let t(f) = -1 + 5*f**2 + 0*f + 6*f - f - f**2. What is the remainder when 97 is divided by t(2)?
22
Let f(o) = -o**2 - 7*o + 21. Let y be f(-6). Calculate the remainder when 164 is divided by (-1)/8 + y/24 - -82.
81
Let m(c) = -3*c + 15. Calculate the remainder when m(-10) is divided by 20 - 7/(28/(-16)).
21
Suppose -404*c + 428*c - 120 = 0. Suppose -762 = -5*a + 648. Calculate the remainder when a is divided by c.
2
Let y(w) = -5*w + 159. Let u be y(31). Suppose -u*x + 100 = -8. Calculate the remainder when (32/(-10))/((-2)/65) is divided by x.
23
Let f = -5766 + 6153. What is the remainder when 1176 is divided by f?
15
Calculate the remainder when 53 is divided by 24/40*120*1/4.
17
Let j(z) be the third derivative of 11*z**4/8 - 5*z**3/6 + 2*z**2 - 3*z. What is the remainder when j(3) is divided by 24?
22
Let s(z) = -z**2 - 23*z - 103. Let o be (-1)/((-7)/(-6) - 1). Let m = o + 14. Calculate the remainder when s(-12) is divided by m.
5
Let u(c) = 1539*c**2 - 12. Let k be u(2). What is the remainder when 0*(-2)/(-4) + k/64 is divided by 25?
21
Let b be -2 - -34*(-2 + 52/8). Suppose u + 478 - b = 4*t, 4*u = 4*t - 336. Suppose -t = k - 4*k. What is the remainder when k is divided by 15?
12
Suppose 0 = g + 12 - 26. What is the remainder when 826/(-7)*5/(-10) is divided by g?
3
Suppose u + 2 = 0, -5*i + 53*u = 54*u - 2323. Calculate the remainder when i is divided by 27.
6
Suppose 368 = g - 3*b + 90, 2*g + 3*b = 484. What is the remainder when 674 is divided by g?
166
Let i be 2 + (-7 - -2) - -5. Suppose -i*j - 7 = -11. Suppose -165 = -4*h + 5*y, j*h - 80 = -y + 3*y. What is the remainder when 173 is divided by h?
33
Suppose 98*y = 731 + 5051. Calculate the remainder when 688 is divided by y.
39
Let b(x) = 2*x**2 + 4*x - 17. Let w = -602 + 613. Calculate the remainder when b(-15) is divided by w.
10
Suppose -45*x + 16*x + 3799 = 0. What is the remainder when x is divided by 33?
32
Let c = 827 + -372. Let p = c + -428. Calculate the remainder when 51 is divided by p.
24
Let v be (-7)/3 + 4/(-6). Let k = v - -19. Suppose -30 = -3*f + 2*f. Calculate the remainder when f is divided by k.
14
Suppose 82 = 3*u + 10. Suppose k + 15 = u. Suppose -4*z = -9*f + 4*f - 69, z + 4*f + k = 0. Calculate the remainder when z is divided by 3.
2
Let k be -5 + 3 - (-174)/(3/1). Let x be (9/(-4))/((-7)/k - 0). What is the remainder when (-55)/(-3) - (-5 + 78/x) is divided by 6?
1
Suppose -38 + 400 = 2*m. Calculate the remainder when m is divided by 57.
10
Let h(k) = 22 + 23 + 3*k - 37 + 2*k**2. Let n be h(-3). Suppose -n = 5*y - 67. What is the remainder when 19 is divided by y?
9
Let k(f) = f**2 + 49*f - 271. What is the remainder when k(11) is divided by 127?
8
Suppose 12*h - 3554 = -5*h - 1344. Calculate the remainder when 291 is divided by h.
31
What is the remainder when 260 is divided by 13629/88 + (-3)/18*(-6)/8?
105
Suppose -24*z - 682 - 14462 = 0. Let c = z + 900. What is the remainder when c is divided by 17?
14
Suppose 4*k - 216 = -p, -3*k + 3*p - 2*p = -155. Suppose i = 4*c - 155, c - 2*i - 3*i = k. Calculate the remainder when 606 is divided by c.
36
Let d(w) = 5*w + 40. Suppose c - 24 = -4*i - 9, -4*i + 12 = 0. What is the remainder when 219 is divided by d(c)?
54
What is the remainder when 282 is divided by (17 - 146/4)*(-2)/3?
9
Let p(i) = -102*i - 127. Let a be p(-9). Let y = -667 + a. What is the remainder when y is divided by 33?
25
Suppose 18422 - 17048 = 4*j + 2*j. What is the remainder when j is divided by 106?
17
Calculate the remainder when 1519 is divided by 9*(5/(-5) - (-4 - 12 - -2)).
115
Suppose 147*x - 57*x - 148500 = 0. Calculate the remainder when x is divided by 29.
26
Let y(t) be the second derivative of 19/12*t**4 + t - t**3 + 7/2*t**2 + 0. Calculate the remainder when y(2) is divided by 37.
34
Suppose -2*d + d = -5. Suppose 5*c = -x + 287, d*x + 2*c - 817 - 664 = 0. Calculate the remainder when x is divided by 56/2 - ((6 - 1) + -2).
22
Let u(p) = -933*p - 6264. What is the remainder when 4273 is divided by u(-7)?
1
Let u(o) = -26*o**3 - 5*o**2 - 1. Let g be u(-2). Suppose 2*y - v = g - 10, -168 = -2*y + 4*v. What is the remainder when y is divided by 31?
28
Let g(h) = h**3 + 9*h**2 - 15*h - 25. Suppose -120 = -5*s + 17*s. Calculate the remainder when 237 is divided by g(s).
12
Let z = 63 - -131. Let o = -4367 - -4395. Calculate the remainder when z is divided by o.
26
Suppose 18*j - 1955 = -422 + 627. Calculate the remainder when 511 is divided by j.
31
Let u(v) = -8237*v**3 + 11*v**2 - 50*v - 52. What is the remainder when u(-1) is divided by 28?
14
Let u(d) = d**2 + 4*d + 13. Suppose 5*r - 4*m + 10 = 0, 5*r + 13*m + 50 = 9*m. Calculate the remainder when u(r) is divided by 6.
1
Let o(f) = f**2 - 15*f - 10. Let w = 228 + -212. What is the remainder when 33 is divided by o(w)?
3
Suppose c + 5*c = 294. Let f(x) = x**2 - 10*x - 20. Let z be f(10). Let h = -3 - z. Calculate the remainder when c is divided by h.
15
Let n = -544 - -540. Let o(z) = 1 - 6 - 22*z - 2. What is the remainder when o(n) is divided by 28?
25
Let t(g) = -77*g**3 + 13*g**2 + 8*g - 4. What is the remainder when t(-1) is divided by 174/11 + 6/33?
14
Let v(u) = -u**3 + 22*u**2 - 30*u - 4. Calculate the remainder when v(2) is divided by 12.
4
Let x = -153 + 154. What is the remainder when 18 is divided by ((-20)/45)/(6/(-54)) + x?
3
Suppose 0 = 7*y - 253 - 62. Suppose -3*f + f + 268 = 0. What is the remainder when f is divided by y?
44
Let m(z) = -z**2 + 29*z + 17. Let g be m(23). Suppose -5*q - 5*j + 155 = 0, -7*q + 2*j + g = -2*q. What is the remainder when 243 is divided by q?
26
Let p(c) = -c**3 - 7*c**2 - 21*c - 4. Let j(y) = -5*y + 20. Let k be j(5). What is the remainder when p(k) is divided by 13?
12
Let v(j) = -j**2 + 14*j + 1. Let x be ((-1)/2)/(0 + -1)*26. What is the remainder when 71 is divided by v(x)?
1
Let k(u) = 1503*u + 18047. What is the remainder when (30 - -2) + -1 + 0 is divided by k(-12)?
9
Suppose 2*j = -j + 5*c + 86, 3*j + c = 116. Calculate the remainder when 96 is divided by j.
22
Suppose -16*p + 294 = 23*p - 408. What is the remainder when 381 is divided by p?
3
Calculate the remainder when 364 is divided by (-26)/13*((-1)/(-1))/((-7)/119).
24
Suppose 48*w - 7101 = -5*p + 49*w, -3*w + 4257 = 3*p. Calculate the remainder when p is divided by 182.
146
Suppose 5*o - 1125 = -5*k, 4*k - 898 = 43*o - 45*o. Calculate the remainder when 3580 is divided by k.
220
Suppose 2*y - 2*i = 4, 3 = y - 2*i + 1. Suppose 36 = -2*s - 80. Let n = -55 - s. Calculate the remainder when n is divided by y.
1
Suppose -17*g - 10 = -19*g. Calculate the remainder when (756/147)/(14/49) is divided by g.
3
Suppose 25 = -5*l, 2*n - 6223*l + 6227*l - 640 = 0. Calculate the remainder when n is divided by 51.
24
Suppose -13*t + 32 = -5*t. Let v(x) = 7*x + 6 + 0*x - t - 5*x. What is the remainder when v(5) is divided by 3?
0
Let u(s) = -1082*s - 12322. Calculate the remainder when u(-13) is divided by 50.
44
What is the remainder when (7538/(-4))/(430/(-4472)*2/5) is divided by 98?
95
Suppose -3*u + 4*c + 4455 = 0, 19*u - 4455 = 16*u + 2*c. Calcul