 by 7.
5
Suppose -35*n = -48 - 117 - 220. What is the remainder when 195 is divided by n?
8
Suppose 42287 = -3*x + 42422. What is the remainder when 305 is divided by x?
35
Let a = -41 - -47. Suppose 5*v + 22 = 72. What is the remainder when v is divided by a?
4
Let a = -72 + 76. Suppose -2*c - a*g = -178, -3*c + 148 + 119 = g. Suppose p - 26 = -k, 2*k - 6 + 0 = 0. Calculate the remainder when c is divided by p.
20
Suppose 12*y + 14 = 38. Suppose 69 = y*k - 3*z, -3 = -z - 4. Calculate the remainder when 163 is divided by k.
31
Let a(u) be the third derivative of 0 + 0*u**3 + 17/24*u**4 + 3*u**2 + 0*u. Calculate the remainder when a(2) is divided by 5.
4
Let z = 180 - 162. Suppose -v = z - 185. Calculate the remainder when v is divided by 17.
14
Let c = -1719 - -2223. What is the remainder when c is divided by 46?
44
Suppose -31*a = -29*a - 1072. Let m = -324 + a. Suppose -11*v + m = 58. Calculate the remainder when 137 is divided by v.
11
What is the remainder when ((1/3)/(4/(-4)))/(32/(-135264)) is divided by 83?
81
Suppose 3*b - 783 + 738 = 0. Suppose 396 = b*w + 7*w. Calculate the remainder when 124 is divided by w.
16
Let t = 430 - 450. Let c(o) = o**3 + 21*o**2 + 13*o - 85. What is the remainder when 328 is divided by c(t)?
53
Suppose -168 = 63*t - 69*t. What is the remainder when 11/((-77)/t) - -314 is divided by 80?
70
Let q = -358 - 51. What is the remainder when (-88 - q) + 1 + (-1 - -4) is divided by 85?
70
Suppose 5*i = 2*r - 201, 0 = 3*r + i - 4*i - 306. Let n = 135 - r. Calculate the remainder when n is divided by (-63)/14*(1 - 5).
14
Let n(m) = -16*m + 1277. What is the remainder when n(53) is divided by 105?
9
Let n be 6/10*(22 - 12) + 20. Let x = 43 - n. Calculate the remainder when 79 is divided by x.
11
Suppose 3*k = j - 7300, -5*k = -2759*j + 2758*j + 7284. Calculate the remainder when j is divided by 2440.
4
Calculate the remainder when 1950/(-35)*-3*308/198 is divided by (43 + 1)/(1 - 0).
40
Let s(f) = f**3 - 31*f**2 + 30*f + 6. Let v be s(30). Let t(r) = -9*r + 60. What is the remainder when 23 is divided by t(v)?
5
Let z = -17547 - -18775. What is the remainder when z is divided by 14?
10
Let h(z) = 713*z + 36. Let x be h(9). Suppose -x = -10*p - 1353. Suppose p = 11*c - 304. Calculate the remainder when c is divided by 11.
8
Let z(s) be the second derivative of s**4/3 + 5*s**3/6 - s**2 + 17*s. Let c be z(-4). Let v = c - 38. Calculate the remainder when 17 is divided by v.
1
Let j be ((-276)/14)/(11/(-462)). Let a = j - 489. Calculate the remainder when a is divided by 68.
67
Let t = 3570 + -3298. What is the remainder when 1094 is divided by t?
6
Let s = -30664 - -30695. Calculate the remainder when 205 is divided by s.
19
Let x(h) = h**2 - 75*h + 1430. What is the remainder when 2262 is divided by x(51)?
202
Let b(i) = -i**3 + 9*i**2 + 15*i - 21. Let n be b(10). Suppose n*g - 140 = 25*g. Suppose -u + 0*u + 19 = 0. What is the remainder when g is divided by u?
16
Let o(j) = -j**3 - 3*j**2 - 5*j - 2. What is the remainder when 25 - (84/924 - (-32)/11) is divided by o(-3)?
9
Suppose 2*j - 129 = 149. Suppose -106*m - 39*m - 61*m = -5974. What is the remainder when j is divided by m?
23
Let q = -177 + 198. What is the remainder when (2 - (-560)/q)/((-6)/(-9)) is divided by 19?
5
Let b(o) = o**3 - 18*o**2 + 41*o - 631. What is the remainder when 324 is divided by b(18)?
3
Suppose 0 = 27*y - 12*y. Let k = -11 + 19. Suppose k*d - 29 - 43 = y. Calculate the remainder when d is divided by 4.
1
Let i(m) = 3*m - 3*m + 3*m + 0*m + 11. Let h be i(5). Suppose -28*a = -h*a - 26. Calculate the remainder when a is divided by 4.
1
Suppose 9*a = 71 + 82. Suppose -a = 3*h - 209. Calculate the remainder when 190 is divided by h.
62
Let a(j) = -j**3 - 15*j**2 + 17*j + 22. Let d be (48/(-6))/4 + 4. Suppose 5 = -d*t + 63. What is the remainder when t is divided by a(-16)?
5
Calculate the remainder when 1512/(21/7) - 0 is divided by 72.
0
Let v = 151 - 271. Calculate the remainder when 131 is divided by v/(-280) + 466/7.
64
Let i(w) = -123*w - 43. Let y be i(-1). Suppose y = -53*g + 58*g. What is the remainder when 22 is divided by g?
6
Let u be 4/8 + 15/10. Suppose 0 = -k - 5*p + 16 + 13, 0 = u*k + 5*p - 33. Calculate the remainder when 30 is divided by k.
2
Suppose 4*s - 14 = 2. Let r(u) be the first derivative of 2*u**2 - 38*u - 31. What is the remainder when r(13) is divided by s?
2
Let v(g) = 4*g**2 - 8*g + 10. What is the remainder when v(-7) is divided by 150/(-25) + 31 + 19?
42
Let d = 11018 + -10990. Calculate the remainder when 620 is divided by d.
4
Let y = 12761 - 12684. Calculate the remainder when 717 is divided by y.
24
Suppose 0 = 3*j - 2*y - 3178, 6087 = 5*j - 2*y + 793. Calculate the remainder when j is divided by 18.
14
Let k(m) = -8*m + 142. Suppose -5*b - 3 - 2 = -5*q, 5*b = q - 13. Calculate the remainder when k(14) is divided by (-1)/((-105)/(-36) + b).
6
Suppose d = p - 1, 0 = 5*p - 3*d + 3 - 2. What is the remainder when p/(-24)*-3 - 197/(-4) is divided by 13?
10
Let v be ((-512)/160)/((-2)/25). Calculate the remainder when (5648/10)/4 + (-8)/v is divided by 29.
25
Suppose -4*f - 656 = -4*s, -101*s - 4*f - 486 = -104*s. What is the remainder when 673 is divided by s?
163
Suppose 3*i - i - 126 = 0. Suppose -i*m = -62*m - 62. Suppose -o = u - 2*u - 17, u = 4*o - m. What is the remainder when 42 is divided by o?
12
Let s(k) = -k**2 + 19*k - 18. Let q be s(5). Calculate the remainder when 125 is divided by 8/q - 928/(-52).
17
Let s(f) = f**2 + 15*f + 6. Let j be s(-7). Let i = -50 - j. Calculate the remainder when (i - 2) + 56/4 is divided by 7.
5
Let g = -2665 + 2779. Calculate the remainder when 1363 is divided by g.
109
Suppose -3*c - 1156 = 3*u - 14152, 0 = 4*u - 4*c - 17296. What is the remainder when u is divided by 71?
68
Suppose -7*f = -3*f. Let j = 6964 + -6960. Suppose -j*u - 3*a = -f*u - 58, -u + 21 = 4*a. Calculate the remainder when 63 is divided by u.
11
Let k(d) = 5*d - 23. Let b = -100 + 112. Calculate the remainder when 112 is divided by k(b).
1
Suppose -64 = 6*u - 196. Let f be -47*(-12)/(-44) - 4/u. Let v = 13 - f. What is the remainder when v is divided by 15?
11
Suppose 25*r - 13219 + 4669 = 0. Calculate the remainder when 1031 is divided by r.
5
Let n be ((63/2)/9)/(12/(-24)). What is the remainder when 6/(-15) - (-894)/10 is divided by (-16)/8 + n - -25?
9
Let w(g) = 3*g + 186. Let q be w(8). Let x = q - 188. What is the remainder when x is divided by 15?
7
Let g(w) = -16*w + 282. Let d be g(-11). Suppose u - 3*c = 131, -u - 2*u - 4*c = -d. Calculate the remainder when u is divided by 46.
8
Suppose 0*t = -11*t - 11310 + 41208. What is the remainder when t is divided by 136?
134
Suppose 75 = 5*c - 10. Suppose -2209*o + 3*s = -2212*o + 327, 4*s = 5*o - 464. Calculate the remainder when o is divided by c.
15
Suppose 2*b + 74 = 2*y, 103 + 50 = 3*y + 4*b. Calculate the remainder when 308 is divided by y.
7
Let j = 127 - 126. Let f(g) = 4*g**3 - 2*g**2 + g. Let p be f(j). Suppose p*q = -o + 114 + 217, -q = -3*o + 953. What is the remainder when o is divided by 23?
20
Suppose -1429 = -18*t + 83. Suppose 5*a - 4*f - 215 = -9*f, -133 = -3*a + f. Calculate the remainder when t is divided by a.
40
Let z = 19486 + -17517. What is the remainder when z is divided by 17?
14
Suppose -r - 2*p + 0*p = -40, 0 = 2*r - p - 90. Suppose -16 = 15*v - 1. Let a(q) = -8*q**3 + 3*q**2 + 2*q. What is the remainder when r is divided by a(v)?
8
Suppose -2122 - 1172 = -9*k. Calculate the remainder when k is divided by 65.
41
Let m(j) = -j**3 + 17*j**2 - 357*j + 7959. Let h(y) = -3*y. Calculate the remainder when m(19) is divided by h(-4).
10
Let o = -13559 + 13627. What is the remainder when 418 is divided by o?
10
Let u = 2442 - 2305. Calculate the remainder when 161 is divided by u.
24
Suppose 155*m - 2754 + 206 = -68. Calculate the remainder when 134 is divided by m.
6
Suppose 371*w - 381*w = -8950. Calculate the remainder when w is divided by 69.
67
Suppose 5*z - 3*z - c - 113 = 0, -3*z = -2*c - 171. Let k(p) = 11*p**2 + p - 14. Calculate the remainder when z is divided by k(-2).
27
Suppose 0 = l + 3*i - 1442, -4*l + 2*i = -3022 - 2732. Calculate the remainder when l is divided by 30.
29
Suppose 0 = -61*r + 17373 + 36726 +