- 9*i + 13*i. What is the remainder when v(r) is divided by p?
9
Suppose 487*a + 2424 = 495*a. Let x = a + -291. Let j = 60 + -16. Calculate the remainder when j is divided by x.
8
Suppose 75*i - 72*i - 5*c = 31, -5*i + 3*c = -25. Suppose 2*s = i*p + 34, 8*s + p = 4*s + 93. Calculate the remainder when 392 is divided by s.
18
Let u(x) = 21*x - 16. Let r be u(7). Suppose -5*c = -19 - r. Suppose 3*z + 0*z - 36 = 0. Calculate the remainder when c is divided by z.
6
Suppose 3*t = -0*t - 6. Suppose 2*w - 16 = -5*k + 51, 0 = w - 3*k - 17. What is the remainder when (-1 - 201)*1/t is divided by w?
23
Suppose -3250 = 93*i - 81*i - 23362. What is the remainder when i is divided by 48?
44
What is the remainder when 3414 is divided by ((-204)/(-12) - -40) + -6?
48
Let w = 567 - 543. Suppose -28*p = -w*p - 16. What is the remainder when 51 is divided by p?
3
Suppose -162 = -4*q - 5*c + 44, 5*q = -4*c + 271. Let k be (-452)/(-6) - (-4)/(-12). Let a = k - q. What is the remainder when 335 is divided by a?
15
Suppose -5*l - 27472 = 4*h - 91480, -l = 2*h - 32010. What is the remainder when h is divided by 69?
68
Suppose -223*u + 217*u + 138 = 0. Suppose 0*a - 4*y + 148 = 4*a, -a + 45 = -3*y. Calculate the remainder when a is divided by u.
16
What is the remainder when (16/(-12))/((-100)/56625) is divided by 69?
65
Let v = -58 + 69. Let r = 38 - 14. Suppose -r = -4*w - 0*w. What is the remainder when v is divided by w?
5
Let d(t) = -15*t - 6. Let q(i) = i**3 + 4*i**2 + 2*i - 4. Let h be q(-3). Let x be h/(-3)*(-3 - 3). Calculate the remainder when d(x) is divided by 9.
6
Let j(d) = -35*d + 41. Let n(q) = 33*q - 40. Let v(z) = -4*j(z) - 3*n(z). What is the remainder when v(6) is divided by 29?
28
Let w = -69 - 36. Let u = -75 - w. What is the remainder when (((-248)/(-24) - 7) + -4)*(-318)/4 is divided by u?
23
Let u be (-10)/(-40) - (-183)/4. Suppose i + i = -5*l + u, 18 = 2*i - 2*l. Suppose -11*r - 21 = -18*r. What is the remainder when i is divided by r?
1
Suppose -54*h = -123*h + 6693. What is the remainder when h is divided by 65?
32
Suppose 0 = -4*l - 3*w + 10, 3*l - 81 = 2*w - 48. Let p(b) = b**3 - 5*b**2 + 3*b + 1. Calculate the remainder when p(5) is divided by l.
2
Let l(j) = 657*j - 3046. Calculate the remainder when 1598 is divided by l(5).
164
Suppose -2290 = -5*f - 2*h, h - 4*h + 1383 = 3*f. Calculate the remainder when f is divided by 221.
14
Suppose -138 + 394 = 4*x. What is the remainder when 1403 is divided by x?
59
Suppose 4948 + 707 = 5*h. Let j = h - 575. What is the remainder when j is divided by 62?
60
Let o = -5817 - -9324. Calculate the remainder when o is divided by 18.
15
Suppose 229 + 11 = 5*s. Suppose -h + 5*g + s = -5*h, 4*h = -3*g - 48. Calculate the remainder when 35 is divided by h/(-4) - (-1 + -2).
5
Let l = 1266 + -1007. Suppose 5*d + 0*u = 4*u + 157, d - 4*u - 25 = 0. What is the remainder when l is divided by d?
28
Suppose 0*w - 2*w + 2*m + 5176 = 0, -5*w + 12940 = 4*m. Calculate the remainder when w is divided by 8.
4
Suppose 4*s + 171 = s. Let w = s + 47. Let x = w + 20. Calculate the remainder when 47 is divided by x.
7
Suppose -83 = 24*f - 38*f + 29. Calculate the remainder when 4367 is divided by f.
7
Suppose c - 59 = 2*p, 2*p - 3*p = 5*c - 262. Let o(y) = c*y**2 - 29*y**2 + 43 - 25*y**2. Calculate the remainder when 126 is divided by o(0).
40
Suppose 3 = -3*b - 0*b, 5*b = x - 273. Let k be 6/8*x - (0 - 3). Calculate the remainder when 67 is divided by ((-4)/6)/(1 - 212/k).
16
Suppose -5*t + 15 = 0, -s + 4*t - 39 = -4*s. Suppose 10*y - s*y - 19 = -j, 5*j + 4*y - 91 = 0. Calculate the remainder when 282 is divided by j.
12
Let f = -6377 + 6625. Calculate the remainder when f is divided by 11.
6
Let n = -11 - -25. What is the remainder when n is divided by -17 + -1 + 3640/140?
6
Suppose 5*t - f = 1886 + 250, -2*f - 2142 = -5*t. What is the remainder when t is divided by 33?
30
Let h be ((-1370)/(-15) - 0)*(-4 + 1). Let w = -250 - h. What is the remainder when 142 is divided by w?
22
Suppose -2*l = -281 - 39. Suppose 1358*g - l = 1350*g. Calculate the remainder when 230 is divided by g.
10
What is the remainder when ((-512)/10)/((128/(-160))/(10*1)) is divided by 297?
46
Let u(r) = 5*r + 23. Let g be u(-7). What is the remainder when 24 is divided by ((-1)/(g/18))/((-3)/(-36))?
6
Suppose -26*x + 13405 = -683 + 2102. Calculate the remainder when 1393 is divided by x.
10
Let w(d) = 3*d - 26. Let h be w(8). Let r(u) = 6*u**2 - 4*u + 1. Let a be r(h). Let s = a + -13. What is the remainder when 99 is divided by s?
19
Let a(z) be the first derivative of -3*z**2/2 - 7*z + 14. Calculate the remainder when 109 is divided by a(-10).
17
Suppose 2*i - 39 = 5*o, 0 = o - 4*o + 5*i - 31. Calculate the remainder when o/(63/6)*-87 is divided by 31.
27
Suppose 0 = -4*s + 8*x - 11*x + 886, 0 = s - 5*x - 187. What is the remainder when s is divided by 6?
1
Let k(w) = -w**2 - 5*w + 3. Let f be k(0). Let p(i) = 20*i + 2 + 22*i - 40*i + f*i**2. What is the remainder when p(-4) is divided by 15?
12
Suppose 198*z - 79*z = 2023. Calculate the remainder when 436 is divided by z.
11
Suppose o + 7 = 36. What is the remainder when (-9664)/(-42) - (0 + (-10)/(-105)) is divided by o?
27
Let r be (21 - 11)*(-153)/(-15). Suppose -7*p + 136 = -r. Calculate the remainder when 113 is divided by p.
11
Suppose -2*r + 5*h - 16 = -3*r, 10 = 3*r - 4*h. Suppose r*l - 35 - 205 = 0. Suppose 2*t = 3*t + 1, 15 = s - 4*t. What is the remainder when l is divided by s?
7
Calculate the remainder when 46 is divided by 83 + -83 + -10*-6*1/10.
4
Suppose 9 = -3*g, 0*g + 330 = 3*b - g. Suppose -7*r + 119 = 42. Calculate the remainder when b is divided by r.
10
Suppose -168*b = -174*b + 186. Suppose 0 = b*v - 209 - 318. Let m = 138 - 73. What is the remainder when m is divided by v?
14
Let n(m) = m**2 - m - 4. Let l(a) = -a**3 - 320*a**2 + 5730*a + 415. Calculate the remainder when l(-337) is divided by n(-4).
14
Suppose -6*o = -24 - 72. What is the remainder when 123 is divided by (20/6 - 1)/(o/288)?
39
Suppose 0 = -4*w + 2*k - 8, 5*w - 2*w - k + 4 = 0. Let l = 4 + w. Calculate the remainder when (-3)/(2 + (l - (1 - -6))) is divided by 3.
0
Let z = -53 + 52. Let t be 3/15 - (z - (-1632)/(-15)). Let s = t + -85. What is the remainder when 49 is divided by s?
24
Suppose 0 = 4*w + 2*v - 1912, 2390 = 56*w - 51*w - 3*v. Calculate the remainder when w is divided by 147.
37
Suppose -75*z = 142*z - 23436. Calculate the remainder when 558 is divided by z.
18
Suppose 688 = 7*p - 1132. Suppose -t + 14*t = p. What is the remainder when 77 is divided by t?
17
Let c be 3/((-3)/(-1))*(-40)/(-8). Calculate the remainder when 158 is divided by 24/(c*(-9)/(-30)).
14
Let n be 1*((2 - 10) + -17 + 22). Calculate the remainder when 216 is divided by (-11 + 7 - n)/(3/(-225)).
66
Suppose -28*y = -8*y - 540. Suppose 332 = 2*v - 10*d + 14*d, -4*v - d = -636. Calculate the remainder when v is divided by y.
23
Let v(p) = -17 - 79*p**3 + 8*p**2 - 80*p**3 - 10*p + 160*p**3. Let b be v(-9). What is the remainder when 51 is divided by 2*12/b*-5?
6
Suppose -12*q + 7*q = -25. Let r(n) = -8*n + 54. Let v(m) = 2*m**2 - m - 1. Calculate the remainder when v(-5) is divided by r(q).
12
Suppose 43 = 4*a - 3*x, 0 = -3*a + 5*x + 290 - 255. Suppose 2*r - 186 = -4*o - 0*o, -5*o + 238 = -3*r. What is the remainder when o is divided by a?
7
Suppose 17*f = -12*f + 5771. What is the remainder when 551 is divided by f?
153
What is the remainder when (2214/(-45))/((-2)/10 - 0) is divided by 88?
70
Suppose 191 = p - 48. Calculate the remainder when 1120 is divided by p.
164
Suppose 3327 = 141*i + 124 - 2719. Calculate the remainder when 2978 is divided by i.
38
Suppose 3*y = -5*k + y - 158, 59 = -2*k - 5*y. Let a = 45 + k. What is the remainder when a is divided by 5/(-1)*1 - -12?
6
Let h be 52/39 - (-24)/9. Suppose 162 = h*g + 78. What is the remainder when 901 is divided by g?
19
Let w(z) = z**3 - 10*z**2 - 7*z + 18. Let v be w(11). Let j = v + 132. Calculate the remainder when j is divided by 39.
38
Suppose 50*l = 51*l + 38. Let a = 47 + l. Calculate the remainder when 177 is divided by a.
6
Suppose 128*g - 7931 = 1541. What is the remainder when 1479 is divided by g?
73
Let i = 542 + -432. Let p = i - 102. Calculate t