when (117/52)/((-1)/b) is divided by 7.
4
Let p(s) = 4*s**2 + 11*s - 279. What is the remainder when 9360 is divided by p(-10)?
10
Let u = 1376 - 466. Calculate the remainder when u is divided by 27.
19
Let k = -11656 + 11764. What is the remainder when 331 is divided by k?
7
Let g(d) be the third derivative of -d**6/120 + 7*d**5/60 + d**4 - 7*d**3 - 15*d**2 + 2*d. Calculate the remainder when 142 is divided by g(9).
10
Suppose -109*a = -36600 + 11415 - 20595. What is the remainder when a is divided by 111?
87
What is the remainder when ((-42)/(-84))/((-1)/(-1022)) is divided by 79?
37
Suppose -143*k = -384*k + 2892. Calculate the remainder when 2/6 + (-677)/(-3) is divided by k.
10
Suppose 10*t - 228 = 14*t. Calculate the remainder when (-577)/(-6) + 10/(-3 + t) is divided by 14.
12
Suppose -56*l + d - 9 = -57*l, 3*l + d - 29 = 0. What is the remainder when 3491 is divided by l?
1
Suppose 5*g - 60 = 5*y, 2*g - 11*y - 8 = -13*y. Calculate the remainder when ((-555)/(-30))/(1/g) is divided by 15.
13
Suppose 0 = -4*n - 5*y - 21, 2*n - 4*y + 30 = -0*n. What is the remainder when (-1505)/n - (-68)/(-306) is divided by 53?
8
Calculate the remainder when (-20)/16*-1628 - -22 is divided by 30.
17
Let a = -127 - -131. Let o(r) = r**3 - 8*r**2 + 3*r - 12. Let s be o(8). Let k = s + -10. What is the remainder when a is divided by k?
0
Let j(a) = a**3 - 21*a**2 - 60*a + 2. Suppose 0 = -3*v - 3*r + 75, -60*v - 122 = -65*v - 2*r. What is the remainder when j(v) is divided by 74?
68
Let b be 5/(-2) - (-3)/2. Suppose 822 - 858 = -4*n. What is the remainder when 176/8 - b/1 is divided by n?
5
Let u(r) = r**3 + 2*r**2 - 4*r + 99. Suppose -9*k - 45 = -6*k. Let x = k - -35. What is the remainder when u(0) is divided by x?
19
Let f = -53 + 5. Let n be f/(-80) + (1 - (-4)/10). Suppose -3*v = -5*t + 51 + 19, -n*v - 21 = -t. Calculate the remainder when 31 is divided by t.
9
Let m = 4680 - 4410. What is the remainder when m is divided by 34?
32
Suppose -135 = h - 4*h. Let w(k) = 8*k**2 - 141*k + 816. Calculate the remainder when w(7) is divided by h.
41
Let g be (-2 + 2)/(0 + 1). Let c(a) be the second derivative of -a**3/2 + 3*a**2 - 4*a. Calculate the remainder when 40 is divided by c(g).
4
Suppose -2*z - 38 + 42 = -2*t, z + 5*t - 32 = 0. Calculate the remainder when 250 is divided by z.
5
Let l(z) = 60*z + 15. Suppose 177 = 5*j - 23. Calculate the remainder when l(1) is divided by j.
35
Suppose 2*d = -5*p - 1629, 0 = -p + 5*p + d + 1305. Let j = 407 + p. What is the remainder when j is divided by 7?
3
Suppose -60*m + 1298439 = -476361. What is the remainder when m/42 - (-10)/(-35) is divided by 101?
98
Suppose 4184 = 2*m - 4*a - 0*a, 5*m + 3*a - 10499 = 0. What is the remainder when m is divided by 105?
103
Suppose 3*m = -2*l + 60, -5*l + 60 + 27 = 4*m. Let u = -1283 + 1425. What is the remainder when u is divided by m?
16
Suppose -4*l = -0*j + j + 5, 0 = 2*l - 4*j - 20. Suppose -p + l*c + 28 = 3*c, -2*c = -5*p + 89. Calculate the remainder when 90 is divided by p.
14
Suppose -10236 = 140*g - 32356. Let r = -79 + 133. Calculate the remainder when g is divided by r.
50
Let j = 55 - 48. Let c = 7683 + -7251. What is the remainder when c is divided by j?
5
Let o = 175 - 126. What is the remainder when o is divided by 24?
1
Let o = 8153 + -8140. What is the remainder when -116*(-1 - (3 - 3)) is divided by o?
12
Let m be (9*(-10)/(-75))/((-6)/20). Calculate the remainder when 28 is divided by (-2)/3*((-16)/m - 16).
4
Let f = 366 - 363. Suppose f*j + 67 = 2*i, -6 = -2*j - 0. What is the remainder when 109 is divided by i?
33
Let w = -160 + 96. Let a = w - -149. Calculate the remainder when a is divided by (-3)/(-5) + -1 + (-224)/(-10).
19
Suppose 5*x - 4*j = -3*j + 27, 3*j = 3*x - 21. Suppose -4*d = 5*b - 161, 0 = -x*b + 10*b - 25. Calculate the remainder when 81 is divided by d.
13
Let u(m) = 4*m**2 - 11*m + 8. Calculate the remainder when 233 is divided by u(4).
9
Suppose -7*f - 2*i - 36 = -8*f, 4*i + 40 = f. What is the remainder when (-2289)/(-18) + 2*3/(-36) is divided by f?
31
Let z(p) = 2*p + 488. Let u(n) = -2*n**3 - 31*n**2 + 21*n + 115. What is the remainder when z(0) is divided by u(-16)?
33
Let u = -495 + 490. What is the remainder when 22 is divided by (12/u)/(26/(-65))?
4
Calculate the remainder when (15993 + -7)/(3/(-6))*3/(-12) is divided by 21.
13
Let l(z) = -15*z**2 + 83*z + 4. What is the remainder when 162 is divided by l(4)?
66
Let o(h) = -155*h + 619. What is the remainder when o(3) is divided by 77?
0
Suppose 2*y = -5*p + 7*y - 250, p + 5*y = -56. Let t = 2288 - 2325. Let f = t - p. Calculate the remainder when 97 is divided by f.
13
Suppose -4*n + 1256 = 2*h, 25*n - 13*h + 10*h = 7757. What is the remainder when n is divided by 147?
17
Let t = -1926 - -2318. What is the remainder when t is divided by 47?
16
Let o(b) = 4*b**2 + 19*b - 283. What is the remainder when o(-14) is divided by 47?
0
Let h(s) = -158*s - 901. Calculate the remainder when 1077 is divided by h(-6).
43
Let a(h) = 54 + 21 - 13 + 38 - 20*h. What is the remainder when a(-18) is divided by 16?
12
Let b(x) = -x**3 + 8*x**2 - 2*x - 2. Suppose -5*c = 3*k - 144, 462*k = 460*k + 3*c + 77. What is the remainder when k is divided by b(7)?
10
Let i = 4 - -63. Suppose -s = 5*y - 187, 5*y = 5*s - 0*s + 175. Calculate the remainder when i is divided by y.
30
Let k(o) = -o**3 - 18*o**2 + 11*o + 30. Let z be k(-17). Let a = -429 - z. Calculate the remainder when 62 is divided by a.
11
Suppose -5*v - p + 49 = 0, -4*v + 5*p - 5 = -5*v. Suppose 222 = v*z - 48. Calculate the remainder when 62 is divided by z.
8
Let u(w) = 14*w - 2. Let q be u(4). Let b(a) = -a**3 + 44*a**2 + 603*a + 125. Calculate the remainder when 2/((-4)/q)*-1 is divided by b(55).
12
Let g(u) = 136*u - 3121. Suppose -4*x = -5*z - 304, z - 2*z = 4*x - 280. What is the remainder when x is divided by g(23)?
1
Let z = 23919 + -23889. Calculate the remainder when 2847 is divided by z.
27
Suppose -23*c + 27*c = 1636. Suppose -416*m + 35 = -c*m. Calculate the remainder when 10 is divided by m.
0
Suppose 0*b + b + 4 = 2*f, -4 = 2*f. Let d = 111 - -22. Calculate the remainder when d is divided by (255/10)/((-6)/b).
31
Let m(y) = y**3 + 10*y**2 + 9*y + 4. Suppose -587*d + 581*d = -378. What is the remainder when 1407/d + (-6)/(-9) is divided by m(-9)?
3
Suppose 18*v - 4*d - 305 = 11*v, 0 = 3*v - 3*d - 141. What is the remainder when 740 is divided by v?
38
Let x = -12 + 195. Let p = -179 + x. Calculate the remainder when 29 is divided by p.
1
Let u(n) = 2*n**3 + 97*n**2 + 316*n + 54. Let x(f) = f**3 + 2*f**2 - 5*f + 3. Let m be x(4). Let z = m + -20. What is the remainder when z is divided by u(-45)?
5
Let i(v) = -v**2 + 44*v - 99. Let c be i(37). Calculate the remainder when (c + 7 + -6)*(-48)/(-14) is divided by 79.
78
Let d = -2666 + 2695. Calculate the remainder when 1207 is divided by d.
18
Let s = 5729 - 5620. What is the remainder when s is divided by 45?
19
Let f(t) = -5*t + 197. Let u be f(39). Suppose 2*d + 98 = 2*l, 47*l = 46*l - u*d + 46. Suppose 190 = -2*x + 3*x. What is the remainder when x is divided by l?
46
Let z(f) = -112*f - 2122. What is the remainder when 1231 is divided by z(-19)?
1
Calculate the remainder when (47 - 29) + -14*6/(-42) is divided by -3 + 1 + (-32)/(-2).
6
Let u = 151 + 378. Let m = u - 464. What is the remainder when m is divided by 27?
11
What is the remainder when 1/(6 + -13 - 20172/(-2880)) is divided by 195?
45
Let x = 6 + -3. What is the remainder when 674 is divided by (-26)/x*(-12 - -9)?
24
Let h = -53 - -56. Suppose 0*w - h*w + 42 = 0. Let p(j) = -j**3 - 5*j**2 - 5*j - 1. Calculate the remainder when w is divided by p(-4).
2
Let r(v) = 2*v**2 + 2*v + 4. Suppose -204 = -50*k + 446. Calculate the remainder when r(-6) is divided by k.
12
Let c = -33371 - -33445. Calculate the remainder when 1822 is divided by c.
46
Let g = 7716 - 7367. Calculate the remainder when g is divided by 55.
19
Suppose -2*l + 51*d = 46*d - 589, 0 = -3*l - 3*d + 978. What is the remainder when 1563 is divided by l?
295
Suppose -i - 3 = 0, -5*w + 286 - 67 = 2*i. Let d = w - 68. What is the remainder when 10 is divided by (-1)/5*d - (-15)/(-25)?
2
Suppose 3330 + 21438 = 36*h. What is the remainder when h is divided 