at is the remainder when 19 is divided by c?
1
Suppose 391 = 3*u - 3*g - 170, 750 = 4*u - 3*g. What is the remainder when u is divided by 66?
57
Let q(b) be the second derivative of -b**5/20 + 5*b**4/4 - 8*b**3/3 + 33*b**2/2 + 195*b. What is the remainder when q(10) is divided by 8?
5
Suppose 7*j + n = 5*j - 3, 2*j + 4*n + 12 = 0. Suppose 3*m - c - 16 = j, 54*m - 56*m = 2*c. Calculate the remainder when 48 is divided by m.
0
Suppose -4*z + 574 = 3*z. Suppose h = -2*o + 62, 0 = -2*h - 2*o + z + 32. Calculate the remainder when h is divided by 28.
24
Suppose 2*y - 99 = 2*q + 171, -3*y + 400 = -4*q. What is the remainder when y is divided by (-45)/2880*24 - (-291)/8?
32
Let o = 17820 - 17547. Calculate the remainder when 705 is divided by o.
159
Let x(o) = -11*o + 1038. Calculate the remainder when x(37) is divided by 209.
4
Let i(m) = -m**3 + 26*m**2 - 46*m - 6. Suppose -q - 16*q = -408. What is the remainder when i(q) is divided by 16?
10
Let w = 44676 + -33620. Calculate the remainder when w is divided by 14.
10
Suppose 0 = -2*g - 3 - 1. Let y = 3 - g. What is the remainder when y is divided by 1368/(-380) + (-86)/(-10)?
0
Suppose -2*w + 5*w - 1260 = 3*p, -5*w + 2110 = -3*p. Suppose 2*z + 1387 = 5*g, 4*g = 2*z + w + 685. What is the remainder when g is divided by 35?
32
Suppose 4*l - 18*b - 490 = 0, 2*l - 175 = 7*b - 8*b. Calculate the remainder when 214 is divided by l.
32
Suppose 0 = -k + j + 32, 4*j - 42 = 2*k - 116. Suppose -31 = -s - 2*d, -85 = -4*s - 5*d + k. Calculate the remainder when 53 is divided by s.
7
Let d(x) be the second derivative of -x**3/3 + 11*x**2/2 + 209*x. What is the remainder when 521 is divided by d(-12)?
31
Let c = 432 + -278. Suppose 5*n = 3*p + c - 23, 4*p - 117 = -5*n. Calculate the remainder when 66 is divided by n.
16
Let k(z) = -z**3 + 12*z**2 + 4*z + 119. Let u(r) = r**2 + 9*r + 2. Let o be u(-7). Calculate the remainder when 4/(-1)*18/o is divided by k(13).
0
Let s(u) = u**2 + 5*u + 4. Suppose 4 = q, 7*c = 4*c - 3*q + 6. Let k be s(c). What is the remainder when 47 is divided by (9 - -1)/(-1 - k)?
7
Let y(j) = -j**3 - 12*j**2 - 8*j + 4. Let k be y(-11). Let l = -18 - k. Suppose -p - 9 = -11. What is the remainder when l is divided by p?
1
Let m = 8801 - 8782. Calculate the remainder when 5579 is divided by m.
12
Let n(q) = 2*q**2 + 5*q - 537. Calculate the remainder when n(38) is divided by 82.
81
Let z = 144 + -116. Let u(s) = 16*s**2 - 11*s + 4. What is the remainder when u(2) is divided by z?
18
What is the remainder when (56/49)/(44/30338) is divided by 132?
128
Let a(t) = -26*t + 87. Let k be a(-17). Let j = k - 496. What is the remainder when j is divided by 21?
12
Suppose 306 = 4*o + 2*y, 0 = 5*o + 7*y - 4*y - 380. What is the remainder when o is divided by (-2 - (-4)/3) + 280/6?
33
Let c be 6*5*14/(112/(-12)). Let k = c - -48. What is the remainder when 8 is divided by k?
2
Suppose -10*x - 2607 = -4017. What is the remainder when x is divided by 26?
11
Let s = -228406 + 228502. What is the remainder when s is divided by (-2)/7 - 352/(-7)?
46
Suppose -287 = -4*a - 59*s, -a + 5*s + 0*s + 210 = 0. What is the remainder when a is divided by 125?
50
Let q(a) = 24*a**2 - a - 2. Let s(v) = -2*v + 2. Let u be s(3). Let i be u*(4 + (-9)/2). What is the remainder when q(i) is divided by 19?
16
Suppose -3801 + 3921 = 12*a. What is the remainder when 5779 is divided by a?
9
Let x(j) = -j + 13. Let v = 48 + -57. Calculate the remainder when x(v) is divided by 66/9 + (-2)/(-3).
6
Calculate the remainder when 364 is divided by (-54)/(-36) - 4207/(-14).
62
Let o(z) = -1049*z + 2355. Calculate the remainder when o(0) is divided by 470.
5
Let c(g) = -2*g - 1. Let p be c(-5). Suppose 33 - p = -6*v. Calculate the remainder when 31 + (v + 4)/4 is divided by 16.
15
Suppose -1050 = -5*t + 2*t. Suppose -4*b - b = -t. What is the remainder when b is divided by -4 + (22 - (-15)/(-5) - -3)?
16
Suppose 30 = 2*y - 0*y. Let s = 36408 + -36390. What is the remainder when s is divided by y?
3
Let i = 247 - 220. Suppose -42 = 5*s + 33. What is the remainder when 101 + (18/(-135) - 17/s) is divided by i?
21
Suppose -3*v + 2*v + 5*a = -21, 3*v + 5 = -2*a. Let p = -152 + 375. What is the remainder when p is divided by (v + -2)*3*-15?
43
Suppose 2*j - 9 = -1. Suppose -2*z - k + 54 = 0, j*z = 2*k + 178 - 62. Let d = -142 + 252. What is the remainder when d is divided by z?
26
Let c(g) = -g**3 + 5*g**2 + 8*g + 3. Let z be c(6). Suppose 3*l + 5*x = 274, 5*x + 445 = 4*l + 33. What is the remainder when l is divided by 5/(z/63) + -1?
18
Let z(o) = o**2 - 1. Let j be z(2). Suppose c - j*c + 0*c = 0. Suppose c = 13*v - 17*v + 60. Calculate the remainder when 28 is divided by v.
13
Suppose -4*b + 3*r = 252, 2*b + 100 = -5*r - 0*r. Calculate the remainder when (b/90)/((-1)/3) + 84 is divided by 36.
14
Let h(f) = f**3 + 9*f**2 - 20*f + 32. Let s(a) = a**2 + 10*a + 3. Suppose -5*v - 48 = -v. Calculate the remainder when s(v) is divided by h(-11).
7
Suppose 6*b - 2999 + 629 = 0. Suppose b = 5*k - 5*s, -k + 43 = s - 32. Calculate the remainder when k is divided by 19.
1
Let z = 18 + 0. Suppose -16 = 4*w, 4*n = 5*w + 50 + 58. Suppose 7*j - 1537 = -n*j. What is the remainder when j is divided by z?
17
Calculate the remainder when 655 is divided by 5*2*(-560)/(-28).
55
Suppose -18 + 27 = 3*t. Suppose -4*g + 46 = t*y, 7*g - 38 = -3*y + 11*g. Calculate the remainder when 39 is divided by y.
11
Suppose -37*n + 24 = -33*n, 0 = f - 2*n - 178. What is the remainder when 378 is divided by f?
188
Let h = 1866 + -428. What is the remainder when h is divided by 36?
34
Suppose 0 = 7*k - 12*k + 50. Let l = k + -7. Suppose -2*y - 34 = -2*w, 18*w + y = 23*w - 77. What is the remainder when w is divided by l?
0
Suppose -103*j + 107*j = 0. Suppose 7*m - 208 - 590 = j. What is the remainder when m is divided by 13?
10
Let a = 1528 - 1523. Let q be (-1)/2*3*-2. Suppose 0 = -0*j - q*j + 66. What is the remainder when j is divided by a?
2
Let h be (3/15)/(22/(-55))*540. What is the remainder when (-3)/(-3 - h/93) is divided by 20?
11
Suppose -5*r = g - 4286, 0 = -603*r + 602*r + 5*g + 852. Calculate the remainder when r is divided by 267.
56
Suppose -7 - 261 = -2*d. Calculate the remainder when d is divided by 20/12 - 2 - (-559)/39.
8
Suppose 1003*q - 2944 = 987*q. Calculate the remainder when 2937 is divided by q.
177
Suppose 0 = -4*o + 60 + 52. Let z = 5064 - 4673. Calculate the remainder when z is divided by o.
27
Let w(c) = 7*c + 5. Let q = 338 - 336. What is the remainder when 7/(-2)*-2*10 is divided by w(q)?
13
Suppose 2*t + 4*b - 9 = -t, -3*t = 5*b - 9. Suppose -t*a + 152 = -s, 5*a = 9*a + 2*s - 206. What is the remainder when a is divided by 27?
24
Let o(g) = -g**3 + 18*g**2 + 114*g + 34. Calculate the remainder when 89 is divided by o(23).
1
Suppose 0 = -i + 3*n - n + 182, -3*i + 546 = 5*n. Let u be (-1)/4 - (-41195)/140. Let o = u - i. What is the remainder when o is divided by 29?
25
Let c(r) = -r**3 - 8*r**2 - 17*r - 30. Let t be c(-6). Suppose 11*z - 5*z - 120 = t. What is the remainder when 32 is divided by z?
12
Let a = 689 - 685. Suppose -a*k + x = -6*k + 92, 0 = 5*x + 10. Calculate the remainder when 561 is divided by k.
44
Suppose -13*q = -47 - 119 + 23. Calculate the remainder when 4796 is divided by q.
0
Let o(a) = -2*a**3 - 16*a**2 + 4*a - 51. Calculate the remainder when 548 is divided by o(-9).
23
Suppose -14 = -c + 2*j, 4*c - 80 = 4*j - 28. Let o = -264 - -285. What is the remainder when o is divided by c?
9
Let o(a) = -a**3 - 9*a**2 - 7*a - 2. Let i be (-14)/(-4)*(-8 + (-6)/(-1)). Let g be o(i). Let y = g + 55. Calculate the remainder when y is divided by 4.
0
Let g(l) be the first derivative of l**4/4 - 22*l**3/3 - 49*l**2/2 + 46*l + 168. Calculate the remainder when 94 is divided by g(24).
6
Suppose -4*q + 2*q = 10, 3*j = -2*q - 181. Let t = 65 + j. Let h(m) = -2*m - 5. What is the remainder when t is divided by h(-5)?
3
Let r = 6762 + -6230. What is the remainder when r is divided by 172?
16
Suppose -2*p + 2*n - 10 = 0, 2*p + 6 = p + 2*n. Calculate the remainder when ((-34)/(-8))/((-1)/(-4)) is divided by -4*9/24*p.
5
Let n(c) = 5*c + 50. Let s be n(-6). Let r be -4*5/s*-22. Let i = r - -173. What is the remainder when i is divided by 49?
