- 478. What is the remainder when m is divided by p?
7
Let j = 120 - 115. Let w(z) = 3*z**2 - 3*z - 1. Suppose -3*v = -t - 40, -4*t = 3*v - 51 - 14. Calculate the remainder when w(j) is divided by v.
14
Suppose -30*w = -171 - 99. What is the remainder when 1178 is divided by w?
8
Suppose 21*r + 563 = 4217. What is the remainder when r is divided by 58?
0
Suppose -16*k + 1512 = -1800. Suppose -4*j + v = -80, 0 = -3*j + 3*v + 44 + 7. Calculate the remainder when k is divided by j.
18
Let g = 419 - 244. Let t = g + -149. What is the remainder when 76 is divided by t?
24
Calculate the remainder when (-1669632)/(-102) - 6/(-102) is divided by 107.
105
Let q(b) be the third derivative of -5*b**4/8 - 79*b**3/3 - 221*b**2. Calculate the remainder when q(-28) is divided by 22.
20
Suppose 0 = 3*s + 12, -2*y + 0*y - s = -2. Let r(b) = 2*b. Calculate the remainder when 113 is divided by r(y).
5
Suppose 2*u - 3352 = -9*u - 1361. What is the remainder when 9592 is divided by u?
180
Let c be 3 + 0 + 11 + -10. Suppose -137 = -c*v - h, -38 + 213 = 5*v + 2*h. Calculate the remainder when 98 is divided by v.
32
Let c(m) = -5*m**3 - 3*m**2 - 3*m - 2. What is the remainder when c(-2) is divided by (225/12)/((-1055)/(-844))?
2
Let u(d) = 5*d**3 - 9*d**2 + 12*d + 7. What is the remainder when u(4) is divided by 47?
43
Let z = 84 + -309. Let o = z + 233. Calculate the remainder when 10 is divided by o.
2
Suppose 170 = 34*h - 510. What is the remainder when 2937 is divided by h?
17
Suppose 15*x + 2*x = -102. Let h(s) = s**3 + 8*s**2 + 11*s + 15. What is the remainder when -1 + 0/(-3) + 83 is divided by h(x)?
19
Suppose -h + 2 = 0, 110 = 3*k + 4*h - 102. What is the remainder when 7748 is divided by k?
64
Let m = 149 + -145. Suppose 5*r - m*r - 35 = 0. Calculate the remainder when r is divided by 18.
17
Let v(c) = -c**2 - 15*c - 51. Let w be v(-8). Suppose -4*p - w*r = -403, -22*p - 306 = -25*p - 5*r. What is the remainder when p is divided by 16?
1
Let v(j) = -j**2 - 9*j - 11. Let k be v(-2). Suppose -4*m = 3*l - 55, -35 = m - k*m + l. Calculate the remainder when 55 is divided by m.
7
Let g = -1303 - -1380. What is the remainder when 2000 is divided by g?
75
Let o(w) be the second derivative of -w**5/20 + 3*w**4/4 + w**3/6 + 7*w**2/2 - 98*w. Calculate the remainder when 36 is divided by o(9).
4
Let g(v) = v**2 - 102*v + 2150. What is the remainder when 1418 is divided by g(29)?
32
Suppose 41*c - 38*c - z = 134, 2*z - 119 = -3*c. Let t(h) = -h - 1. Let o be t(-1). Suppose 0*r + 2*r - 342 = o. What is the remainder when r is divided by c?
42
Calculate the remainder when -2764*(-13)/((-390)/(-45)) is divided by 29.
28
Let k = 0 + 4. Suppose x - 1 - k = 0. Calculate the remainder when ((-292)/(-56) + 4/14)*4 is divided by x.
2
What is the remainder when 430 is divided by (-4)/(-12) - 11475/(-81)?
4
Let n = 5545 + -4957. Calculate the remainder when n is divided by 8.
4
Let x = 7870 - 7865. Calculate the remainder when 673 is divided by x.
3
Let a(n) = -161*n + 7520. What is the remainder when a(45) is divided by 124?
27
Calculate the remainder when (3/(-2))/3*(-87)/(3741/268148) is divided by 23.
13
Suppose 930*s - 10992 = 1840*s - 1139*s. Let o(u) = u**3 + 2*u**2 - 3. Calculate the remainder when o(5) is divided by s.
28
Let s be 5/20 - 14766/24. Let y = s - -726. What is the remainder when y is divided by 0 + (2 - (0 + -26))?
27
Suppose 15*c - 2046 = 2769. What is the remainder when c is divided by 165?
156
Let z(c) = -2*c**2 + 140*c + 708. What is the remainder when z(73) is divided by 12?
6
Suppose -10 = -2*r, -v - r = -3*r - 163. Calculate the remainder when v is divided by (58/(-5))/((-4)/10).
28
Let o(a) = a**2 - 4*a + 4. Let j be o(3). Suppose 5*g + 4*i - 337 = 0, -22*g + 17*g + 313 = -4*i. Calculate the remainder when g is divided by 34*(j + 3/(-6)).
14
Let v = -335 + 669. Suppose 6 = 5*x - v. Let t = 236 - 224. Calculate the remainder when x is divided by t.
8
Let u(f) = -15*f**3 + 2*f**2 - 1. Let h = 64 - 54. Suppose h*q - 44 = -q. What is the remainder when u(-1) is divided by q?
0
Suppose 0 = -48*b + 9220 - 1636. What is the remainder when b is divided by 29?
13
Suppose 907 - 235 = 48*s. Let v(h) = h**2 - h + 4. What is the remainder when (-12)/s*(-1)/((-7)/(-882)) is divided by v(3)?
8
Let t be 3*13/(39/10). Suppose 2*f = t*a - 8*a - 56, -4*f + 18 = a. What is the remainder when 60 is divided by a?
8
Calculate the remainder when 186 is divided by ((-85344)/(-24))/28*-1*(-3 + 2).
59
Let t = -17279 - -17354. What is the remainder when t is divided by (1 - (-2)/2) + 25?
21
Let i(l) = -45*l + 177 - 3*l + 40*l. What is the remainder when 141 is divided by i(17)?
18
Calculate the remainder when 194 is divided by 8/(-12)*((-8)/(-32))/((-1)/342).
23
Suppose 35 = 3*o + 4*o. Calculate the remainder when 108 is divided by 4*o + (120/(-8))/(-5).
16
Suppose -5*n + 4*q = -32, -2*q + 6 = 3*n - 0*q. Suppose -n*s + 29 = -4*j + 333, -j - s + 82 = 0. What is the remainder when j is divided by 3/12 - 83/(-4)?
16
Suppose 0 = -5*i + 4*h + 42, 3*h + 33 = -0*i + 4*i. Calculate the remainder when 67 is divided by (-3)/9*-159 - -1*i.
8
Let g = 870 + -843. What is the remainder when 9473 is divided by g?
23
What is the remainder when (64/(-6) - (-36)/54)*-7 is divided by 52?
18
Let l(u) = 5*u**3 + 2*u**2 + 5. Suppose -7 - 8 = 5*c. Let f be l(c). What is the remainder when 31 is divided by (-6)/(-4)*(8 + f/(-24))?
12
Let o(j) = -7*j - 9. Let c = 26 + -35. Let x(p) = -p**3 + 15*p**2 + p + 4. What is the remainder when o(c) is divided by x(15)?
16
Suppose 0 = -2*s - s - 4*l + 554, -s - 2*l = -184. Let r = -46 + s. Let h(a) = -a**3 - 16*a**2 - 52*a - 1. What is the remainder when r is divided by h(-12)?
46
Suppose 17307 + 1682 = 39*h + 542. What is the remainder when 956 is divided by h?
10
Suppose 0 = -76*y + 9098982 - 9081046. What is the remainder when y is divided by (-54)/(-4)*(-28)/(-6)?
47
Let t(d) = -d**2 + 6*d + 6. Let y be t(6). Let q(f) = 2 - 4*f - f + f**2 - 6 - y. Calculate the remainder when q(12) is divided by 19.
17
Let s = 122 - 122. Suppose s = -2*c + 3*t - 6*t + 117, -c - 5*t = -76. What is the remainder when c is divided by 13?
12
Suppose -303 = -5*l + t, 6*t - t - 10 = 0. Let b = -58 + l. Suppose -o + 18 = -0*o. What is the remainder when o is divided by b?
0
Suppose 0 = q + 4*y + 14, -3*q - 2*y + 0 - 2 = 0. Suppose 67 = q*h - 43. Let p = h + -38. What is the remainder when p is divided by 6?
5
Suppose -40*x + 3580 = 795 - 2215. Calculate the remainder when 377 is divided by x.
2
Let j be 1 + -32 + 7*24/42. What is the remainder when (j/(-36))/((-2)/(-16)) is divided by ((-3)/(-2))/((-6)/(-8))?
0
Let g(z) = 51*z + 428. What is the remainder when 2134 is divided by g(-8)?
14
What is the remainder when 96 is divided by (1/(-6))/(13/130)*(-24)/10?
0
Calculate the remainder when (-4)/4 - (-164)/2 is divided by (44/10)/((64 + -48)/160).
37
Suppose 3*p = -3*i + 687, p = 18*i - 17*i + 235. Suppose -4*k + p = 4*x, -9*k + 7*k + 126 = 4*x. Calculate the remainder when 529 is divided by k.
52
Let d(i) = -i**2 + 7*i - 3. Let y be d(6). Suppose -y*v = 4*v + 7. Let b(j) = -19*j. What is the remainder when 74 is divided by b(v)?
17
Let p = -118 + 136. Calculate the remainder when 6 is divided by p/(2/1) - 5.
2
Let x(a) = 2*a**3 - 3*a - 4 + 1699*a**2 - 3420*a**2 + 1706*a**2. What is the remainder when 134 is divided by x(8)?
26
Let a(z) = -4*z + 57. Let m be a(21). Let k = 47 + m. Let d(w) = 9*w - 27. Calculate the remainder when d(k) is divided by 26.
23
Let g be 23/(3/4 + (-1)/(-4)). Suppose -7*o + 107 = g. What is the remainder when 46 is divided by o?
10
Suppose -68*j = -64*j - 28. Let b = -209 + 233. What is the remainder when b is divided by j?
3
Suppose 0 = 246*y - 227*y - 323. Let o = -171 - -198. What is the remainder when o is divided by y?
10
Let x be -3 - (-2 - -30 - -5). What is the remainder when (40/30)/((-1)/x) is divided by 13?
9
Suppose -110 + 726 = 9*f + 47*f. What is the remainder when (-7 - -9)*(-390)/(-4) is divided by f?
8
Let a be 902/154 - (-1)/7. Suppose a*g - g - 575 = 0. Suppose -2*k = c + 3*k - 55, 0 = -2*c - 5*k + g. Calculate the remainder when c is divided by 32.
28
Suppose 42*i - 820 - 27 - 77 = 0. What is the remainder when 476 is divided by i?