 3. Suppose 9 = 4*p - 31. What is the remainder when z(33) is divided by p?
6
Let d(u) = u + 7. Let k be d(-5). Suppose 3*g = k*g + 214. What is the remainder when g is divided by -1*7 + 100/((-120)/(-12))*5?
42
Suppose 3*f = 14*c - 16*c + 38, 0 = 2*c - 4*f - 38. Calculate the remainder when 509 is divided by c.
15
Let d(x) = 68*x**2 + 92*x - 414. Calculate the remainder when d(5) is divided by 217.
10
Suppose 59*m - 54*m - v - 17062 = 0, 3*v = 24. Calculate the remainder when m is divided by 107.
97
What is the remainder when 45 is divided by 45/10*(2 + 8 + -4)?
18
Let v = 705 + -675. Calculate the remainder when (((-28)/(-6))/1)/(v/3465) is divided by 18.
17
Let h(y) = 12*y - 33. Let f(j) = -36*j + 105. Let i(m) = 3*f(m) + 8*h(m). Calculate the remainder when 88 is divided by i(0).
37
Suppose -18*y + 15*y = -6*y + 2466. Calculate the remainder when y is divided by 12.
6
Suppose 0 = -649*r + 105769 - 36326. Let q(h) = -34*h - 1. Let t be q(-1). Let v = -22 + t. What is the remainder when r is divided by v?
8
Suppose 0 = -v + 4*v - 3*k - 42, 4*v = -5*k - 16. Calculate the remainder when 1709 is divided by v.
5
Let n = -10359 + 10469. What is the remainder when 118 is divided by n?
8
Let k(d) = 875*d - 92. Let i be k(12). Suppose -48*h + i + 1448 = 0. What is the remainder when h is divided by 25?
22
Let r(n) = 50*n - 3. Let t be r(2). Suppose -17 + t = 4*i. Let k(v) = -5*v**3 - 62*v**2 - 184*v - 6. Calculate the remainder when k(-4) is divided by i.
18
Let q(k) = -5*k - 7. Let c be q(-4). Suppose -c = -5*n - 8. Suppose -n = h - 17. Calculate the remainder when h is divided by 9.
7
Suppose 11*a - 55 = 6*a. Suppose -62 = -2*h - 2*b, 2*h + b - 47 = a. Suppose 3*p = h - 3. Calculate the remainder when 21 is divided by p.
5
Let p = -12452 - -15326. What is the remainder when p is divided by 30?
24
Let r(h) = -7*h - 18. Let o be r(-3). What is the remainder when (-3)/(o/4)*972/(-144) is divided by (45/(-12))/(3/(-8))?
7
Let k be (-5 - (-78)/15) + (-32)/10. What is the remainder when 29 is divided by -4*k/6*119/14?
12
Let w(b) = 14*b**3 + b**2 - b. Let m = -19367 - -19421. Calculate the remainder when m is divided by w(1).
12
Let f be 15*(2 + (-4)/(-3)). Let i be (-25)/(-25)*9*-5. Let z = f + i. What is the remainder when 27 is divided by z?
2
Suppose -3 = -3*w + 3, -3*w + 67 = u. Calculate the remainder when 9019 is divided by u.
52
Suppose 623 + 577 = 300*t. Calculate the remainder when 187 is divided by t.
3
Let j(o) = -o**3 - 11*o**2 + 47*o + 133. What is the remainder when j(-18) is divided by 130?
125
Let x(m) = 5*m**2 - 2*m + 2. What is the remainder when (((-4794)/10)/17)/(1/(-5)) is divided by x(3)?
18
Suppose 3*g + 265 = y, 5*y + 0*g + 8*g - 1371 = 0. What is the remainder when y is divided by 55?
51
What is the remainder when (-8)/10 - ((-43548)/60 - 11) is divided by 74?
70
Suppose -p + 43 = s, 1009*s = 1011*s + 5*p - 86. Calculate the remainder when 8599 is divided by s.
42
Let p = 951 + -773. Calculate the remainder when 713 is divided by p.
1
Calculate the remainder when 24/36 - (-122)/6 is divided by -8 + 488/192*3 - 91/(-8).
10
Let v = 43 + -35. Suppose 59*u - 58*u - v = 0. Suppose -14*f + u*f + 102 = 0. What is the remainder when 47 is divided by f?
13
Suppose 22*n - 430 = 12*n. Calculate the remainder when -6 + n + -1 + -2 is divided by 26.
8
Let t = -77 + 46. Let w = t + 31. Suppose w = 8*p - 11*p + 144. Calculate the remainder when p is divided by 17.
14
Suppose -4*s + 315 + 142 = 65. Suppose 0*j - j = 5, 0 = -2*i - 2*j. Calculate the remainder when s is divided by i.
3
Suppose -19*r + 44743 + 17150 = -2631. What is the remainder when r is divided by 37?
29
Let b be 328/(-12)*6/4. Let w(a) = -a**2 - 13*a + 215. Let t be w(-20). Let d = b + t. Calculate the remainder when 65 is divided by d.
31
Let b(q) = -2*q + 12. Let l be b(4). Suppose l*i - 270 = -i. Suppose -15*h - 4*h = -361. Calculate the remainder when i is divided by h.
16
Let o(w) = 8*w**3 - w + 1. Suppose 4 + 10 = 7*c. Suppose 0 = c*v + 8, y + 3*v + 42 = 4*y. What is the remainder when y is divided by o(1)?
2
Suppose 0 = -3*h - 2*s + 112, 2*h + 905*s - 98 = 907*s. Calculate the remainder when 218 is divided by h.
8
Let f(o) = o**3 - 12*o**2 + 43*o + 3. Calculate the remainder when f(7) is divided by 15.
14
Suppose -2*b - 8 = -3*c, 15*b - 11*b - 12 = -c. Suppose -797 = -c*o - 2*i + 79, -2*o - 5*i = -454. Calculate the remainder when o is divided by 17.
13
Suppose 123*w - 104*w = 13186. What is the remainder when w is divided by 330?
34
Let b = -11395 - -12058. What is the remainder when b is divided by 60?
3
Suppose -1024 = -4*k - 2*x, 512 = 2*k + 3*x - 6*x. Suppose -31*d - g + k = -29*d, -5*d + 662 = -3*g. Calculate the remainder when d is divided by 41.
7
Suppose -5*y + 3 = z - 38, -4*z + 3*y + 72 = 0. What is the remainder when 1133 is divided by z?
20
Let j be 0 + 0 + 0/(-5). Suppose j*k + 2*k - 22 = 0. Suppose 2*f - 2*q = 70, 112 = 4*f - 56*q + 59*q. What is the remainder when f is divided by k?
9
Let x be -3 + (5 - 2) - -154. Suppose -9*y = -7*y - x. What is the remainder when y is divided by 16?
13
Let q(o) = -o**2 + 99*o - 1832. Calculate the remainder when 698 is divided by q(27).
26
Let v(o) = -6*o + 42. Let z be v(7). Let n be (5 - 5)*(2/4 - z). Suppose n = 2*k + 6*k - 104. Calculate the remainder when 25 is divided by k.
12
Let k = 31 + -51. Let o = 534 + -505. Let j = k + o. Calculate the remainder when j is divided by 6.
3
Let l(g) = g**3 + 7*g**2 - 10*g - 2. Let h be l(-8). Let w be (22/4)/(-4 + 49/h). Let c = 29 + w. What is the remainder when 70 is divided by c?
16
Suppose 6*k = 7*k - 57. Suppose -k = -2*f - 15. Let y = 136 - 99. Calculate the remainder when y is divided by f.
16
Suppose 9496 = 143*c - 9*c - 7254. What is the remainder when c is divided by 113?
12
Let o(y) = -5*y + 28. Let d(m) = 11*m - 54. Let a(q) = 6*d(q) + 13*o(q). Calculate the remainder when 77 is divided by a(-27).
12
What is the remainder when -2 - -20 - -2051 - (-3)/((-9)/(-6)) is divided by 37?
36
Suppose -2*s - 98 = -428. Suppose -3*x = 2*o - 113, o - 3*x + s = 4*o. Calculate the remainder when o is divided by 7.
3
Let n(x) = x - 27. Let u(a) = 28. Let h(f) = -3*n(f) - 4*u(f). Let y be 7 + (-17)/(102/36) + -18. What is the remainder when 198 is divided by h(y)?
18
Let f be (-14)/(-63) + (-21726)/81. Let k = 305 + f. Calculate the remainder when k is divided by 15.
7
Let s(k) = 94*k**2 + 5*k - 5. Let m be s(3). Let q = m - 716. Calculate the remainder when q is divided by 64.
12
Let d = 472 + -438. Calculate the remainder when 187 is divided by d.
17
Let f(n) = 4*n**2 - 14*n - 13. Let c be f(7). Let l = c + 55. Calculate the remainder when l is divided by 29.
24
Suppose -3*m + 1172 = -5*y, -y + 2*y = -3*m + 1202. Suppose 10*z = m + 121. Let b(j) = -j**3 + 10*j**2 - 7*j. What is the remainder when b(6) is divided by z?
50
Suppose -23*x + 4674 = -4*x. What is the remainder when 30 is divided by x/24 + 15/(-12) - 4?
0
Let f = -58 - -91. What is the remainder when 35/(14/(-2)) - (-3 + -131) is divided by f?
30
What is the remainder when 228 is divided by (-10)/3*3*(-2233)/406?
8
Suppose -7*j + 4*j + 12 = 0. Suppose 0 = j*r + 3*d - 25, -3*r + 1 + 22 = -2*d. Let k = -339 - -378. Calculate the remainder when k is divided by r.
4
Suppose -3*b + 39 = o, -o - 284*b + 287*b = -99. Suppose 4*c + 2*h = -3*h + 92, 4*c = -2*h + 92. Calculate the remainder when o is divided by c.
0
Let k = 4451 + -3740. What is the remainder when k is divided by 23?
21
Suppose -5*i = 5*d - 410, 5*i + 0 = d - 58. Let j = 122 - d. Let t = 64 - j. Calculate the remainder when 73 is divided by t.
13
Suppose -2*d - s + 30 + 93 = 0, -4*d = -5*s - 295. Calculate the remainder when 4807 is divided by d.
62
Suppose -17*q = 7*q - 48. Suppose q*r - 130 = -3*u - 0*u, 55 = r - u. Calculate the remainder when 176 is divided by r.
58
Let q be 12/8 + 742/28. Suppose 0 = -q*k - 1187 + 3875. What is the remainder when k is divided by 25?
21
Let j = 284 + -267. Let a = 30 - -16. Let o = 123 - a. Calculate the remainder when o is divided by j.
9
Suppose 0 = 2*k + 2*k - 72. Let y = -23175 + 23181. What is the remainder when k is divided by y?
0
Suppose 0 = 23*a + 74*a - 14037 + 3464. What is the remainder when 8937 is divided