1. What is the remainder when p is divided by u?
14
Let w(v) = v**3 - 22*v**2 + 83*v - 45. Calculate the remainder when w(18) is divided by 3*((-15)/(-5) - -12).
18
Suppose 330*n - 45255 = 309*n. Calculate the remainder when n is divided by 72.
67
Suppose -n = 4*s - 7, -n - 5 = -3*s + 2. Let y(b) = 4*b + 3. Let m(q) = -5*q - 140. Calculate the remainder when m(-34) is divided by y(s).
8
Suppose -54*y - 49 = -61*y. Suppose -c - 7 = 3*i, 0*c + 5*i = 2*c + 25. Calculate the remainder when ((-175)/c)/7*10 is divided by y.
4
Let u(h) = 4*h - 4. Let c be u(3). Suppose c*s - 181 = 5*s - 5*r, -189 = -3*s - 3*r. Calculate the remainder when s is divided by 18.
13
Let u = -748 - -649. Let y = 104 + u. What is the remainder when 43 is divided by y?
3
Let c(g) = -g**2 + 95*g + 600. What is the remainder when c(87) is divided by 164?
148
Let m(w) be the first derivative of -w**4/2 - w**3/3 - w**2 + 8*w - 154. Calculate the remainder when 84 is divided by m(-3).
25
Let c = 5098 - 151. What is the remainder when c is divided by 45?
42
Suppose 3*q - 1124 = -2*o + 5*q, 4*o - 3*q = 2252. Let x = o - 547. What is the remainder when x is divided by 7?
5
Let t = -40428 + 40654. What is the remainder when 2258 is divided by t?
224
Let k = -1150 - -324. Let o = k + 836. What is the remainder when 245 is divided by o?
5
Suppose -245*i - 22*i = -2937. Calculate the remainder when 17300 is divided by i.
8
Let o be ((-36)/45)/(2*1/(-5)). Suppose -o*s + 744 = 6*s. What is the remainder when s is divided by 11?
5
Let x be ((154/4)/7)/((-6)/588). Let f = x + 743. Calculate the remainder when f is divided by 16.
12
Suppose p - 115 = -5*s, -4*s - 4*p - 67 = -175. Suppose 3*x - 21 - s = -2*u, -u + 4*x = -27. Calculate the remainder when u is divided by 4.
3
Suppose 100*d + 8 = 96*d. Let r be ((-2)/6*-10)/(d/(-3)). Suppose 119 - r = 2*n. What is the remainder when n is divided by 30?
27
Let w be (18 + -20)*(-71)/4*-2. Let y = w + 112. Calculate the remainder when 490 is divided by y.
39
Let z = 3220 - 3171. Calculate the remainder when 159 is divided by z.
12
Let a = -7 + 25. Calculate the remainder when a is divided by (2478/1062)/(7/3)*(0 + 7).
4
Let x(i) = 3*i + 57. Let v = -45 - -64. Calculate the remainder when x(v) is divided by 29.
27
Let n = 67 + -30. Suppose b + 5*o - n = 0, -3*b + o + 43 = -o. What is the remainder when 117 is divided by b?
15
Let b = 565 - 274. Let d = b + -149. What is the remainder when d is divided by 36?
34
Let q = 4026 - 1212. Calculate the remainder when q is divided by 47.
41
Suppose 352*t + 5565 = 359*t. What is the remainder when t is divided by 35?
25
Let p = 383 + -128. Suppose -78 = 2*q + 3*b - p, -q + 2*b = -99. Suppose -57 = -2*s + q. Calculate the remainder when s is divided by 19.
18
Let v(d) = d**2 - 19*d + 71. Let b be v(15). Suppose b*c = 263 + 254. What is the remainder when 112 is divided by c?
18
Let z = -2431 - -2480. What is the remainder when 630 is divided by z?
42
Suppose 0 = -2*l + 4*m + 492, 5*l - 730 = 2*l + 2*m. Suppose s - 86 = -0*s + 2*d, -3*s + 2*d = -l. What is the remainder when s is divided by 26?
0
Let r(b) = -4*b**3 + b**2 + b - 5. Calculate the remainder when 60/65 - 1 - 14440/(-130) is divided by r(-2).
24
Let p(n) = n**2 + 2*n - 29. Suppose 0 = -5*h + 133 + 82. Suppose -97 = -5*y + h. What is the remainder when y is divided by p(5)?
4
Suppose i = -2*i - 3*u + 69, -2*u + 10 = 0. Suppose 19*r = i*r - 2. What is the remainder when 55 is divided by ((-10)/4 - r)/(23/(-1334))?
26
Let w(b) = -b**2 + 3*b + 1. Let v be w(5). Let j be 170/(-6) - v/27. What is the remainder when 9 is divided by (54/(-63))/(6/j)?
1
Let m(z) = -14*z**3 - 390*z**2 - 71*z - 254. Calculate the remainder when m(-28) is divided by 6.
2
Let y(t) = t**3 - 27*t**2 - 6*t - 364. Suppose 0 = -2*f - 11 + 97. What is the remainder when y(28) is divided by f?
37
Suppose 38*a - 3103 = 15935. What is the remainder when a is divided by 167?
0
Suppose 5*i + 6*v = 32490, 5*i - 2*v - 32475 = -5*v. Calculate the remainder when i is divided by 232.
228
Suppose 14*b - 15 = 9*b. Suppose 4*r - 3*r = -k + b, 0 = 2*k + 2. Calculate the remainder when r/12 - (-3 - 6/9) is divided by 2.
0
Suppose 3*u - 125 = -2*u. Suppose 16*k - 23*k + 11*k - 304 = 0. What is the remainder when k is divided by u?
1
Let t = 6720 + -6600. What is the remainder when t is divided by 68?
52
Suppose -718*c = -589*c - 2451. Suppose -2*t + 166 = -398. What is the remainder when t is divided by c?
16
Let g = -21257 - -21287. What is the remainder when 4042 is divided by g?
22
Suppose -q - 7 = -4*v + 16, -3*v + 22 = 4*q. Let b(r) = r**3 + 30*r**2 + 57*r + 29. Calculate the remainder when v is divided by b(-28).
0
What is the remainder when (351114/(-1251))/(1 + 10/(-6)) is divided by 162?
97
Suppose 15*b = -40*b + 13*b + 550536. Calculate the remainder when b is divided by 15.
13
Let f(m) = 173*m - 8. Let j(w) = -w - 1. Let v(t) = -f(t) + 3*j(t). Let u be v(-1). Let a = u - 102. What is the remainder when a is divided by 27?
25
What is the remainder when -19 - 17/(272/(-5024)) is divided by 38?
29
Suppose -144*b + 32409 + 6397 = -9578. Calculate the remainder when 679 is divided by b.
7
Let v(h) be the second derivative of h**4/4 + 5*h**2/2 + 2*h. Let g = 8 - -11. Calculate the remainder when v(4) is divided by g.
15
Suppose -k = 5*z - 14 - 3, 8 = 2*z + k. Let g = -867 + 635. Let v = g - -242. What is the remainder when v is divided by z?
1
Suppose 22*i - 23*i - 18 = -2*f, 3*i + 12 = 0. What is the remainder when 521 is divided by f?
3
Let m = 18358 + -18343. Calculate the remainder when 7122 is divided by m.
12
Calculate the remainder when 18 + -14 + 7/(-1)*8100/(-126) is divided by 124.
82
Let q(i) = -6*i - 34. Let f be q(17). Let k = -101 - f. What is the remainder when 139 is divided by k?
34
Let t be 2/13 - 2898/78. Suppose -24 - 16 = 3*c + 5*u, 5*c + 4*u + 84 = 0. Let p = c - t. Calculate the remainder when p is divided by 6.
5
Let b = 2459 + -2393. Calculate the remainder when b is divided by 23/(-1 - (0 + -2)).
20
Let g = 12686 + -12673. What is the remainder when 12736 is divided by g?
9
Let d = 2 - 0. Suppose 22 = d*u - 16. Suppose -4*x + 5*f + 1233 = 1041, -4*x - 3*f = -224. Calculate the remainder when x is divided by u.
15
Let y = -48 + 55. Suppose -4*w = -i + 4*i - 16, -4*w = -5*i - 48. Let a(n) = -n**3 + 6*n**2 + 6*n + 11. Calculate the remainder when y is divided by a(w).
3
Suppose k - m + 2*m = 21, -m = 0. Calculate the remainder when ((-1 + 0)*1)/(25/(-1025)) is divided by k.
20
Suppose -4*k = k - 60. Let d(n) = -n**3 + 19*n**2 + 4*n - 45. What is the remainder when d(19) is divided by k?
7
Suppose 0 = -w + 2*w - 2*r - 1023, 5*w + 3*r = 5128. What is the remainder when w/(-10)*4/(-5) is divided by 18?
10
Suppose 2*j = -0*j - w, w = -4*j. Suppose -5*c + 169 + 366 = j. What is the remainder when c is divided by 10?
7
Let l be -4 - (23 + 4)/1. Let w = -23 - l. Suppose 94 = 4*q + q + 2*i, 2*q - 2*i - 32 = 0. Calculate the remainder when q is divided by w.
2
Suppose -i + 1 = -5. Let o be -4*((-52)/16 + 3). What is the remainder when (-30)/(o*(3 - (-36)/(-8))) is divided by i?
2
Let j = 22842 - 22507. Calculate the remainder when 2336 is divided by j.
326
Suppose 14*u + 22 = -62. What is the remainder when 76 is divided by ((-26)/12)/(-4*u/(-144))?
11
Let r(b) = 87*b + 2520. Calculate the remainder when 713 is divided by r(-25).
23
Let o be (-4)/8 - 33/(-6). Suppose -k + q = 4*k - 34, -4*k + 4 = o*q. Let z(l) = 3*l - 5. Calculate the remainder when z(k) is divided by 6.
1
Suppose h + 54*h = 11165. What is the remainder when 1012 is divided by h?
200
Let c = -85 - -268. Suppose 3*z - 3*t - 34 = 32, -4*z + 63 = t. Suppose r - 3*s = 32, z + 3 = r + s. What is the remainder when c is divided by r?
22
Let o be 111/3 + 21/(-3). Suppose -o*g = -24*g - 240. What is the remainder when 197 is divided by g?
37
What is the remainder when (-6 + 6 - 1)/(60/(-56) - -1) is divided by 13?
1
Let f = -7256 + 7836. Calculate the remainder when f is divided by 6.
4
Suppose 5*z + 5*n - 165 = 0, 5*z + 1003 = -n + 1188. What is the remainder when -1 + (-1)/(1/(-147)) is divided by z?
32
Let t(y) = -y**2 + 24*y - 32. Suppose -4*n + 7 + 1 = 0. Suppose 0 = 7*o + n*o - 198. What is the remainder when 2