remainder when a is divided by t.
28
Let t(q) = -q**3 - 13*q**2 - 16*q + 13. Suppose 0 = -5*x - 10, 4*w - 101 = -2*x + 23. Calculate the remainder when t(-12) is divided by w.
29
Let g(u) = -u**3 + u**2 + 1. Let r(j) = -2*j**3 - 3*j**2 + 3*j - 5. Let m(t) = -3*g(t) + r(t). What is the remainder when 45 is divided by m(6)?
5
Suppose -56*c + 15 = -51*c. What is the remainder when 9 is divided by c?
0
Suppose b = 6*b - 35. Suppose -7*d + 3*d + 16 = 0. Let s(a) = 3*a**2 - 4*a - 6. What is the remainder when s(d) is divided by b?
5
Suppose 60 = 5*u - 3*y, u + 2*y + 1 = -0*u. Let i(c) = c + 2. Calculate the remainder when i(u) is divided by 5.
1
Let x = 442 - 412. Let v = 59 - -29. Calculate the remainder when v is divided by x.
28
Let w = -59 - -112. Suppose -3*p = r - 314, 243 + 271 = 5*p - 3*r. Calculate the remainder when p is divided by w.
51
Let u be 1/(-7) + (-6)/84*54. Let a(j) = -j**3 - j**2 + j - 4. Calculate the remainder when a(u) is divided by 21.
19
Let j(k) = -k + 11. Let n(i) = 2*i**2 - 2*i - 2. Let p be n(-2). Let o be j(p). What is the remainder when 0 - 0 - (-19)/o is divided by 10?
9
Let j(d) = 26*d + 45. Let u(b) = 17*b + 30. Let v(s) = 5*j(s) - 8*u(s). Calculate the remainder when 74 is divided by v(-6).
11
Let t = 99 - -297. Calculate the remainder when t is divided by 80.
76
Suppose -2*v + 5*v + 135 = 3*p, 5*p + v - 195 = 0. What is the remainder when 518 is divided by p?
38
Suppose 0 = r - 4*r + 585. Suppose 5*k = -5*h + r, 5*h - 2*k + k = 225. What is the remainder when h is divided by (-20)/(-10) - -14*3/2?
21
Suppose 77*i + 51 - 4286 = 0. What is the remainder when 271 is divided by i?
51
Let r be -3 - ((-3 - 1 - 2) + -3). Suppose 213 + 225 = r*j. Calculate the remainder when j is divided by 26.
21
Suppose 91 = y + 12*y. Calculate the remainder when 20 is divided by y.
6
Suppose -31*r + 1704 + 1179 = 0. Calculate the remainder when r is divided by 51.
42
Let y(l) = -l**3 - 8*l**2 - 6*l + 10. What is the remainder when ((-9)/(-4))/(-3) - 5029/(-428) is divided by y(-7)?
2
Let q be (-2 - 2*-21)*(-1)/2. What is the remainder when 59 - (2 - 1 - q/(-5)) is divided by 16?
14
Suppose 360 = 4*o - h - 3*h, o - 90 = 3*h. Let b = -55 + o. What is the remainder when b is divided by 10?
5
Suppose -5*p - a = a - 1254, 1006 = 4*p + 3*a. What is the remainder when p is divided by (-1463)/(-35) - (-26)/130?
40
Suppose 28*q - 64 = 608. What is the remainder when q is divided by 13?
11
Suppose -110 = -3*b + 256. Suppose -4*p + b + 110 = 0. What is the remainder when p is divided by 10?
8
Let p(d) = 3*d**2 - d + 15. Suppose -s + 152 = 3*s. Calculate the remainder when s is divided by p(0).
8
Let j(q) = 9*q + 315. Calculate the remainder when 17/2*(-8)/(-4) is divided by j(-34).
8
What is the remainder when 1088 is divided by (-2)/7 + 5/(-14)*-26?
8
Let l(s) = -6*s + 13. Let o(j) = j + 1. Let p(d) = l(d) - 3*o(d). Let m be p(-3). Let t = 82 + m. What is the remainder when t is divided by 24?
23
Let a = 32 - -33. What is the remainder when a is divided by 34?
31
Suppose -3 - 29 = -2*d. Suppose 0 = -34*w + 24*w + 630. What is the remainder when w is divided by d?
15
Let v(w) = -24*w**3 - 2*w**2 - 2*w - 1. Let g be (21 + 10)*6*1. Suppose -g = 3*t - 453. What is the remainder when t is divided by v(-1)?
20
Calculate the remainder when 344/3*(-36)/264*-11 is divided by 63.
46
Suppose 88 = 5*x + 8. Let s(l) = x*l - 11*l + 16*l + 4 + l**3 - 17*l**2 + 0*l**3. Calculate the remainder when s(16) is divided by 22.
18
Let u = 1568 + -1542. Calculate the remainder when 674 is divided by u.
24
Suppose 3*c - 46 = 17. Calculate the remainder when 79 + 1 - ((-240)/(-16) - 16) is divided by c.
18
Let g(k) = 3*k + 5. Let a be g(9). Suppose 3*u + a - 41 = 0. Suppose 2*y = u*y - 6. Calculate the remainder when y is divided by 5.
1
Let d = -16 - -24. Let f be (-4)/d - (-66)/12. Suppose 5*c + 0 - 30 = -3*q, f*q - c - 78 = 0. What is the remainder when 28 is divided by q?
13
Let d = 16 - 27. Let s(v) = -v**2 - 18*v - 7. Let t be s(-15). Let o = t - d. Calculate the remainder when o is divided by 13.
10
Suppose 8*s - 150 + 22 = 0. What is the remainder when 19 is divided by s?
3
Let o(f) = 3*f + 11 + 6*f - 6*f - 2*f. Suppose 5*j + 38 = 13. What is the remainder when 29 is divided by o(j)?
5
Let g = -157 - -91. Let f = -19 - g. Let d = 6 - -10. What is the remainder when f is divided by d?
15
Suppose -30*l + 45540 = -8*l. What is the remainder when l is divided by 61?
57
Let s(h) = 6*h. Let q(j) = -5*j. Let t(w) = 7*q(w) + 6*s(w). Let c(y) = -3*y + 5. Let n(g) = c(g) + t(g). Calculate the remainder when n(-8) is divided by 8.
5
Suppose -6*g + 9*g + 162 = 4*x, 4*x - 158 = g. Calculate the remainder when x is divided by 15.
9
Let y(i) = -i - 11 - 6*i**2 - 8*i - i**3 + i + 19*i**2. What is the remainder when 73 is divided by y(12)?
36
Suppose 5*x = o - 14, -5*o + 6*x = 4*x - 47. Suppose 12*a - 18 = o*a. Calculate the remainder when 10 is divided by a.
4
Let j = 1 + 71. Let m be (j/(-3))/((-1)/(-1)). Let x = m + 30. What is the remainder when x is divided by 4?
2
Suppose 0 = -5*t + 2*c + 143, -5*c = -2*t - 4*c + 58. What is the remainder when t is divided by 15?
12
Suppose 233 = 2*w - 6*w - 3*u, 235 = -4*w - u. Let a = -51 - w. Calculate the remainder when 38 is divided by a.
6
Suppose -8*i + 1793 - 393 = 0. Let c = -102 + i. Calculate the remainder when c is divided by 15.
13
Let v(i) = -12*i - 1. Suppose 2*t + 12 = 2*j, 4*t + 5*j = 26 - 5. Calculate the remainder when 54 is divided by v(t).
10
Let v be (15/6)/(3/(-24)). Let k = v - -22. Suppose -k*y = 5*m - 135, -5 = -0*y - y. What is the remainder when m is divided by 7?
4
Let f be (-8 + 13)/(1/28). Suppose 0 = -4*c - 0*c + f. Let p = 37 - 24. Calculate the remainder when c is divided by p.
9
Suppose 4*u = -22*y + 19*y + 1030, -2*u = -4*y - 526. Calculate the remainder when u is divided by 26.
25
Let l = -48 - -69. Let m = 32 - 21. What is the remainder when l is divided by m?
10
Suppose 2*d + 69 = 3*q + 15, 54 = 3*q + d. Suppose 112 = 3*a + a. Calculate the remainder when a is divided by q.
10
Let h(q) = 3*q**2 + 3*q - 1. Let j(c) = c**2 - 16*c + 200. What is the remainder when j(12) is divided by h(2)?
16
Suppose 0 = -32*g + 10719 + 449. What is the remainder when g is divided by 115?
4
Let y(l) = 3*l**2 + 3*l + 13. What is the remainder when y(-4) is divided by 13?
10
Let b = -102 + 123. Calculate the remainder when 1069 is divided by b.
19
Suppose -87 = -9*q + 30. What is the remainder when 919 is divided by q?
9
Suppose 3*j + 2*j - 2*s - 18 = 0, -5*s + 13 = 2*j. Suppose -w - 4*h + 8*h = -29, 3*w - 7 = -4*h. What is the remainder when ((-22)/j)/((-3)/18) is divided by w?
6
Let q(a) = -a**2 + 9*a - 8. Let s(m) = 3*m + 15. Let b be (28/(-7))/(2/2 + 0). Calculate the remainder when q(6) is divided by s(b).
1
Let d(v) = 13*v**2 - 19*v - 48. Calculate the remainder when d(-7) is divided by 29.
26
Suppose 0*p + b + 13 = 4*p, 0 = -3*p - b + 1. Suppose 4*u = 3*d + 100, 130 = p*u + 3*u - 5*d. Calculate the remainder when 131 is divided by u.
21
Let n be (-75)/(-10)*(-32)/20. Let a(h) = h**3 + 11*h**2 - 14*h - 17. What is the remainder when 17 is divided by a(n)?
3
Let t(j) = 19*j**2 + 5*j + 10. Let w be t(-6). Suppose -3*v - 5*v = -w. Calculate the remainder when v is divided by 21.
20
Let u = -97 + 102. Suppose 4*z - 138 = -2*m, 65 + 91 = u*z - 3*m. What is the remainder when 196 is divided by z?
31
Let n be 14/(-18) + 1 - (-156)/27. Calculate the remainder when 53 is divided by ((-7)/(-4) + 0)*(n + -2).
4
Let d(k) = k**3 + 2*k**2 - 4*k + 5. Suppose 0 = z + 4*b - 1, -3*b + b = -3*z - 11. Let a be (2/z)/((-1)/6). Calculate the remainder when d(a) is divided by 22.
19
What is the remainder when 284/(-6)*9/(-24)*4 is divided by 2/((-24)/(-4))*9 - -5?
7
Suppose 530 = 16*s - 2542. Calculate the remainder when s is divided by 65.
62
Let p(o) = -o**2 + 6*o - 3. Let l be p(4). Suppose -r - 23 = -23. Suppose -10*d + l*d + 155 = r. Calculate the remainder when d is divided by 17.
14
Suppose -4*a = -2*a - 86. What is the remainder when 512/144 - 4 - 3050/(-18) is divided by a?
40
Let v = -992 - -1158. What is the remainder when v is divided by 152?
14
Suppose -144 = -4*t + 3*i, 0 = -2*t + 21*i - 24*i + 72. Calculate the remainde