hen 63 is divided by z?
3
Let c = -681 - -1399. What is the remainder when c is divided by 12?
10
Suppose 5*g - 515 = -3*b, 16*b = 3*g + 12*b - 280. Calculate the remainder when 387 is divided by g.
87
Let h(l) = 4*l**3 - 18*l**2 + 43*l - 36. Calculate the remainder when h(6) is divided by 144.
6
Suppose -15*g = -12*g - 15. Let v be 1 + -5 - (-9 + g). Suppose 0*t + t - 9 = v. What is the remainder when t is divided by 5?
4
What is the remainder when (-204)/(-18)*(52 - 49) is divided by ((-36)/(-10))/(3/10)?
10
Suppose 3*p + p = 0. Let h = -130 - -130. Suppose h = -p*x - 9*x + 909. Calculate the remainder when x is divided by 26.
23
Let h(i) = 13*i**2 - 89*i + 13. Suppose -2*b + 3*b = 376. What is the remainder when b is divided by h(7)?
25
Let g(t) = 8*t + 290. Let z be g(45). Suppose 0 = -0*f + 5*f - 4*q - 806, -z = -4*f - 2*q. Calculate the remainder when f is divided by 15.
12
Let t(q) = 5*q - 36. Let y be t(0). Let c = y + 47. Calculate the remainder when c is divided by ((-70)/25)/(4/(-10)).
4
Suppose 0 = 4*b + h - 66 - 69, 39 = b + 2*h. Calculate the remainder when 250 is divided by b.
19
Let a = -3453 - -4140. Calculate the remainder when a is divided by 7.
1
Suppose -33*t + 22592 + 14533 = 0. What is the remainder when t is divided by 12?
9
Suppose -676 = -4*h - 4*n, 2*n + 150 - 152 = 0. Calculate the remainder when h is divided by 46.
30
Suppose 0 = -6*x - 4*x + 2910. Suppose 6*c - 3675 = -x. Calculate the remainder when c is divided by 63.
60
Let y(q) = -113*q - 339. Calculate the remainder when y(-5) is divided by 72.
10
Suppose -n + 478 = 7*b, n = 2*b - 236 + 777. Calculate the remainder when n is divided by 131.
3
Calculate the remainder when ((-105)/(-6))/7*(-7)/((-280)/17632) is divided by 21.
10
Suppose 920 - 3230 = -6*i. What is the remainder when i is divided by 378?
7
Suppose 0 = 2*v + m, 3*v - 2*m = -3*m + 2. Let b be (5/15)/(v/48). Suppose 2*r + 18 = b*r. Calculate the remainder when 6 is divided by r.
0
Let w = -21 + 13. Let g(p) = p**2 + 10*p + 27. What is the remainder when g(w) is divided by 12/(-66) - (-92)/22?
3
Let z(x) = x**3 - 6*x**2 + 5*x + 4. Let a be z(5). Suppose n + 35 = 3*p, 3*n - 2 = a*n. Suppose -68 + 315 = 13*q. What is the remainder when q is divided by p?
8
Let y(v) = 2*v**2 + 8*v + 9. Let n(q) = q + 1. Let k(x) = 6*n(x) - y(x). Let d be k(-2). Let j(z) = -z + 10. What is the remainder when 99 is divided by j(d)?
14
Let p be -1*(-427)/(-17) - 58/(-493). Let c = 39 - p. What is the remainder when c is divided by 14?
8
Calculate the remainder when (0 - -1)*(-33)/(-3) is divided by 1772/(-13290) - 141/(-45).
2
Let r(a) = -41*a + 2694. Calculate the remainder when r(56) is divided by 54.
20
Let r = -6 - -4. Suppose -2*k - 7 = -2*w - 25, 2*w - 46 = -2*k. What is the remainder when -1 - r*32*1 is divided by k?
15
Let n = -5356 - -5621. What is the remainder when n is divided by 30?
25
Let c(k) = -k**3 - k**2 - 4*k - 2. Let t be c(-3). Let a = t - 7. What is the remainder when (16/(-10))/((-10)/650) is divided by a?
20
Suppose 14 = -3*z + 4*z. Let g = 25 - z. What is the remainder when g is divided by 4 + 63/(-6) - 35/(-14) - -7?
2
Let r(b) = b**3 + b**2 - 2. Let s be r(-1). What is the remainder when 409 is divided by ((-4)/3)/s - 484/(-12)?
40
Suppose r - 290 = 4*w - 74, -2*r + 432 = -w. Let l = r + -214. What is the remainder when 11 is divided by l?
1
Let w be 45/6 + (-3)/(-2). Let x(n) = 2*n**3 - 17*n**2 + 2*n + 56. Let k be x(8). Suppose w*q = -k + 53. What is the remainder when 24 is divided by q?
4
Suppose 81*c = 109*c + 119*c - 368529. What is the remainder when c is divided by 57?
56
Let y(h) = -3*h + 143. Suppose 0 = c - 6*c + 3*x + 215, 4*c + x - 155 = 0. What is the remainder when y(c) is divided by 14?
9
Let r(f) = 43*f + 24. Let s be r(3). Let l(j) = -j**3 + 12 + s*j - 145*j - 1 - 3*j**2. Calculate the remainder when 36 is divided by l(-5).
15
Suppose 11*c - 618 = 933. Suppose 0 = -2*d - 3*w + 81, -d + 45 = -0*d + 3*w. What is the remainder when c is divided by d?
33
Let p(w) = 2*w**2 + 5*w + 2. Let b be p(-3). Suppose -3*v - 3 = 0, 3*q - 2*v - b = -3*v. Calculate the remainder when 585/20 - q/8 is divided by 10.
9
Let y(d) = -1 + d**2 - 10*d**3 - 14*d**3 + 0 + d. Let m(p) = -p**3 - 4*p**2 + 21*p + 71. Let r be m(-3). What is the remainder when 157 is divided by y(r)?
19
Suppose 5*k - 5*f - 821 = 1484, f + 2293 = 5*k. Let z = -48379 - -48471. What is the remainder when k is divided by z?
90
Suppose 2*q - 9 = 11*q. Let j(n) = 166*n**3 - 2*n - 1. Let y be j(q). Let x = y + 300. What is the remainder when x is divided by 23?
20
Suppose -25*u - 153929 = -655372 - 242732. Calculate the remainder when u is divided by 229.
226
Suppose 5*u = 1 - 16. Suppose -17*d + 21*d - 96 = 0. Calculate the remainder when (d/(-20))/((-76)/25 - u) is divided by 8.
6
Suppose 5*z + 783 = 2*n, -4*z = -71*n + 68*n + 1206. What is the remainder when n is divided by 399?
15
Let q(t) be the first derivative of t**3/3 + 41*t**2/2 - 197*t + 227. Calculate the remainder when q(-48) is divided by (-28)/(-1) + (-1 - -1).
27
Suppose -174*n + 366 = -168*n. Suppose -5*d - 5*m - n = -536, -3*d + 271 = -4*m. What is the remainder when d is divided by 29?
6
Let m be (-234)/(-10) - (28/20 - 1). Let u(q) = -q**3 + 24*q**2 - 20*q - 45. Let z be u(m). What is the remainder when 3320/z - (2 - 8/3) is divided by 35?
34
Let m(t) = t**2 + t + 398. Calculate the remainder when m(35) is divided by 205.
18
Suppose -4*m - 71 = -4*u + 37, 4*m = -4*u + 124. Let l = 31 - u. Suppose o + 5*n - 26 = 0, 2*o - l*n - 28 = -0*o. What is the remainder when o is divided by 5?
1
Let a = -21402 - -22445. Calculate the remainder when a is divided by 101.
33
Suppose 0*s = -2*s - 3*r - 1, -3 = 3*s + 5*r. Suppose -q = 6*d - 2*d + 118, 2*d - 454 = s*q. Let j = -83 - q. Calculate the remainder when j is divided by 17.
14
Suppose -93*p - 13970 = -38789 - 17961. What is the remainder when 590 is divided by p?
130
Let r be (-3246)/(18/(-4) + (-4 - -8)). Suppose -27*t - 1038 = -r. Calculate the remainder when t is divided by 12.
10
Suppose -4*x - 10 = -k - 0, 15 = 2*k - 3*x. Suppose 3*v - 86 = -5*s, -4*s = -12*v + 11*v + k. Calculate the remainder when 307 is divided by v.
21
Suppose 1517 = 34*r + 350*r - 787. Let p(n) = n**2 + 13*n - 12. Let y be p(8). Suppose 4*w - y + 48 = 0. What is the remainder when w is divided by r?
3
Suppose 10*k + 161*k + 12*k = 256566. Calculate the remainder when k is divided by 21.
16
Let h(p) = -p**2 + 8*p + 6. Calculate the remainder when (12/(-10))/(37/(-2775)) is divided by h(5).
6
Let i(a) = a**2 - 171*a + 1195. Calculate the remainder when 130 is divided by i(7).
36
Let p(v) = -2*v**3 + v**2 - v + 2. Let y = 11582 - 11506. What is the remainder when p(-4) is divided by y?
74
Calculate the remainder when 234 - (-50)/((-40)/(-4)) is divided by 76.
11
Calculate the remainder when 158 is divided by ((-882)/105)/(710/600 - 8/6).
46
Let i = -1172 - -1217. What is the remainder when 985 is divided by i?
40
Let k be (-3)/1 + 5 - -1. Let p be 4/k - (-4)/6. Suppose 0 = -f - 3*j + 35, p*j = 5*f + 3*j - 105. What is the remainder when 117 is divided by f?
17
Let t(p) = 350*p + 3261. Let r = -3 + 59. What is the remainder when t(-9) is divided by r?
55
Suppose -3*q + 0*q = 0. Suppose 17*h - 21 = 15*h + 9. Let a = h + q. What is the remainder when 41 is divided by a?
11
Suppose 5*j + 75 = 5*u, -5*u + 51 - 11 = 2*j. Calculate the remainder when 1228 is divided by u.
8
Let o = -55 + 40. Let m(s) = s**3 + 15*s**2 - 9*s - 21. Suppose 4*t - 31 = v - 4*v, v = -4*t + 5. Calculate the remainder when m(o) is divided by v.
10
Let a = -62 - -62. Suppose a = 2*v - 3*w - 2*w - 33, 3*v - 3*w - 45 = 0. Calculate the remainder when ((-25)/4)/(2/(-8)) is divided by v.
11
Suppose 226*g - 847 = 219*g. Suppose 3*v - g = -5*s, -4*s + 58 = 3*v - 58. Calculate the remainder when 606 is divided by v.
30
Suppose -3*k = 1 - 16. Suppose 1206 = y + k*y. Suppose h = 4*m - 199, -4*m + h - 2*h = -y. Calculate the remainder when m is divided by 17.
16
Let s(r) = -16*r + 2. Let k be s(6). Let m(u) = 167*u**2 + 8*u - 1. Let h be m(-1). Let q = k + h. Calculate the remainder when q is divided by 17.
13
Suppose 135*i + 5*k - 785 = 130*i, 0 = -2*i + 4*k + 308. What is the remainde