 is divided by t.
8
Suppose 128 = 5*d - n, -59 = -2*d + 7*n - 4*n. Let f(b) = 277*b - 783. Calculate the remainder when f(3) is divided by d.
23
Let b(g) = g**2 - 4*g**2 + 6*g**2 - g**2 + 29 + 0*g**2 - 21*g. What is the remainder when b(14) is divided by 32?
31
Suppose -2*b - 2 = -3*m + 6, 4*b = m - 6. Let r(j) = 11*j**2 + 4*j - 5*j**2 - 3*j**m. What is the remainder when r(-5) is divided by 15?
10
Let i(w) = -2*w**3 - 2*w**2 + 2*w + 2. Let q(t) = 4*t**2 + 57*t + 195. What is the remainder when i(-4) is divided by q(-4)?
28
Suppose 5 = -h + 15. Let z(i) = -12*i + 234. Calculate the remainder when h is divided by z(19).
4
Let s(y) = -110*y - 3028. What is the remainder when 5831 is divided by s(-29)?
161
Suppose -568 = 18*c + 1394. Let y = -80 - c. Calculate the remainder when y is divided by 17.
12
Let c(q) = 3*q - 83. Let h be c(27). What is the remainder when 44/11 + h/(-2) + 117 is divided by 25?
22
Suppose 6 - 31 = 5*b, 4*k = -2*b + 2. Suppose 0 = -k*v + 19*v - 480. Calculate the remainder when 111 is divided by v.
21
Let u(f) = f**3 - 6*f**2 + 2*f + 9. Let m be (1/(-4))/((-6)/(-8))*-15. Let z be u(m). What is the remainder when 13 is divided by -3*(-2)/z + 8?
6
Suppose 594 = 16*z - 638. Calculate the remainder when 150 is divided by z.
73
Suppose 0*m = -m + 3*o - 6, -o + 2 = -3*m. Let w = -16 - -52. What is the remainder when 3 - (4/(-4) - (102 + m)) is divided by w?
34
Let o(u) = u**2 - 5*u - 14. Suppose 0 = -n - 1, 21*m + n = 19*m + 73. What is the remainder when m is divided by o(-3)?
7
Suppose -1240 = -34*j + 24*j. Let v = 141 - j. What is the remainder when 47 is divided by v?
13
Let q(s) = -s - 1. Let h be q(-12). Suppose -h = 5*a - 31. Suppose -18 = -a*n + 3*n. What is the remainder when n is divided by 6?
0
Calculate the remainder when 722 is divided by 180/70 + 534/21.
22
Suppose 7*z - 202 = -13. Let u = z + -24. Suppose -24 = u*l - 36. What is the remainder when 11 is divided by l?
3
Let h(l) be the second derivative of l**4/3 + l**3/3 - 9*l**2 + 5*l. Calculate the remainder when ((-414)/12)/((-6)/16) is divided by h(3).
20
Let r(g) = g**3 - 2*g - 1. Let y be r(-2). Let v(l) = 4*l + 20. Let p be v(y). Suppose p = 8*w - 238 - 2. What is the remainder when 118 is divided by w?
28
Calculate the remainder when 804 is divided by 6/(-4) + 240/32.
0
Suppose -373 = -n + 85. What is the remainder when n is divided by 2*(546/28 - -6)?
50
Let v be 268 - (-3)/(-6)*8 - -1. Let h = 335 + v. What is the remainder when h is divided by 86?
84
Let y = 200 - 166. Suppose 0 = 24*s - 634 + y. What is the remainder when 92 is divided by s?
17
Suppose 3*c - 23212 = 17*q - 80240, 16756 = 5*q + c. Calculate the remainder when q is divided by 11.
9
Let i(d) = 605*d - 3447. What is the remainder when i(9) is divided by 10?
8
Let v = 128 + -73. Suppose j - 143 = v. Suppose 3*t + 100 = 5*t. What is the remainder when j is divided by t?
48
Let k be 1449/12 + 2/8. Let v(x) = 24*x**2 - 448*x - 38. Let h be v(19). Let i = k - h. Calculate the remainder when 34 is divided by i.
6
Let v = 3428 - 3373. Calculate the remainder when 108 is divided by v.
53
Suppose 1032 = 8*l - 720. Let g = 282 - l. Calculate the remainder when g is divided by (-1)/2 + (-105)/(-6).
12
Let d be (-3 + -6)/(-1 - -2). Let v = d + 16. Calculate the remainder when 30*(205/30 + -6) is divided by v.
4
Let u(r) = 21*r - 3. Let c(b) = b**3 - 41*b**2 - 32*b - 402. Calculate the remainder when u(6) is divided by c(42).
15
Suppose 322 - 280 = 4*h - h. Calculate the remainder when 2883 is divided by h.
13
Suppose 0 = 4*v - 0*v - 76. Suppose -116*l + 281 = -48*l - 3323. What is the remainder when l is divided by v?
15
Let z(j) = -218*j - 29. Let c be z(-3). What is the remainder when 52 is divided by (4/5)/(25/c)?
12
Suppose -2*d = 4*l - 770, 5*l - 969 = -2*d + 6*d. Let w = l + -188. Calculate the remainder when 23/1 + (-8)/(-2) is divided by w.
2
Suppose 59 + 1 = 10*q. Let m(b) = 5*b**2 - 9*b - 31. Calculate the remainder when m(q) is divided by 20.
15
Suppose 39*m - 530 = 289. What is the remainder when 1070 is divided by m?
20
Calculate the remainder when 1171 is divided by -63*14/(-126) - (-2)/((-6)/9).
3
Let g = 1896 + -1869. What is the remainder when 174 is divided by g?
12
What is the remainder when 117/(-3)*(-15 - (11 - 20)) is divided by 31?
17
Let j(z) = -z**3 + 17*z. Let p be j(4). Suppose 5*m - 7*m + 8 = 0, w - p*m = -3. Calculate the remainder when 102 is divided by w.
11
Let g = -58 - -63. Let n = -182 + 261. Suppose 4*j = n - 3. Calculate the remainder when j is divided by g.
4
What is the remainder when 66 is divided by 12/(-294) + 8260/686?
6
Let d(v) = -v**3 - 18*v**2 - 8*v + 412. What is the remainder when 268 is divided by d(-16)?
16
Suppose 0 = 2*z - 2 - 4. Suppose 6*g + 54 = z*g. Calculate the remainder when 53 is divided by (-328)/g + ((-208)/(-36) - 6).
17
Suppose 360 = 14*a - 9*a. Let j = -66 + a. Suppose 43 + 117 = 4*t. Calculate the remainder when t is divided by j.
4
Suppose 3*x + 5*c + 141 = 7*x, -204 = -5*x - 3*c. Let t be x*-1*(-350)/15. Suppose 3*a + 4*a = t. What is the remainder when a is divided by 33?
31
Let v(n) = -10*n + 16*n**2 - 6*n - 17*n**2 - 3. Calculate the remainder when 7*(-12)/168 - (-43)/2 is divided by v(-15).
9
Suppose -266*b + 325*b - 429756 = 0. What is the remainder when b is divided by 24?
12
Let t(j) = 7*j**2 + 76*j + 785. What is the remainder when t(-10) is divided by 10?
5
Suppose -3*k + 58 = 37. Let d(h) = -2*h. Let w be d(-2). Suppose -3*m - o + 50 = -0*o, 2*m + w*o - 20 = 0. What is the remainder when m is divided by k?
4
What is the remainder when (-1 - (-14)/6)/((-2146)/(-286491)) is divided by 170?
8
Suppose -251*a = -173*a - 5946 - 1776. Let w = 707 - 319. What is the remainder when w is divided by a?
91
Suppose 33 = 2*s - 345. Let q(v) = -v**3 + 6*v**2 + 108*v - 637. Calculate the remainder when s is divided by q(10).
17
What is the remainder when 774 is divided by (-120)/20*(-6)/(-198) - (-1852)/22?
18
Let m(c) = -348*c**3 + c**2 + 19*c + 16. What is the remainder when m(-1) is divided by 22?
16
Let k(z) = 3*z**2 - z - 2. Suppose 0 = -2*j + 6*j - 4*p - 340, p + 409 = 5*j. Let u = -11 + j. Calculate the remainder when u is divided by k(-2).
10
Let n(f) = 12*f - 40. Let c be n(10). Suppose -77*a - 48 = -c*a. What is the remainder when 31 is divided by a?
15
Let x(o) be the second derivative of o**5/20 + 11*o**4/12 + 10*o**3/3 + 7*o**2/2 - 3*o - 20. Calculate the remainder when 153 is divided by x(-8).
36
Let w be (-5)/(-1) + (-6 - -2). Let f be w/(-6) - 186/(-36). What is the remainder when -3 - (0 + -4 - f) is divided by 2?
0
Let h(z) = -5*z**3 + z**2 + 8*z + 13. Let s = -40 + 56. What is the remainder when h(-2) is divided by s?
9
Suppose 4*u + 4*r - 56 = 0, -28*u + 2*r + 16 = -26*u. Let l = u - -15. Suppose 0*f - 150 = -2*f. What is the remainder when f is divided by l?
23
Let a(u) = 2*u**3 - u**2 + u - 2. Suppose 8*d = 3*d + 2*d. Suppose -8 = -4*q, d = x + 9*q - 4*q - 27. What is the remainder when a(3) is divided by x?
12
Let d(l) be the third derivative of 0*l + 1/20*l**5 + 4/3*l**3 - 1/8*l**4 + 16*l**2 + 0. What is the remainder when d(3) is divided by 9?
8
Let i(t) = t**2 + 2*t - 3. Let d be i(2). Suppose -d*h = 2*c - 53, -24*h - 5*c + 6 = -23*h. Let g = -74 + 105. Calculate the remainder when g is divided by h.
9
Let n(z) = 5*z**2 + 31*z - 63. Let s(l) = 8*l**2 + 59*l - 125. Let f(b) = -5*n(b) + 3*s(b). What is the remainder when f(9) is divided by 20?
17
Suppose -3*u = -3*s + 6*s - 219, 4 = u. Let l = 135 - s. Calculate the remainder when l is divided by 24.
18
Suppose 3*y + 237 - 2286 = -d, 4*d - 2049 = -3*y. What is the remainder when y is divided by 115?
108
Suppose -26*r + 25*r + 3 = 0, 4*o - 1793 = 5*r. Calculate the remainder when o is divided by 7.
4
Suppose 0*m - 214 = -2*m. Suppose 5*o - 164 = 3*q, 2*q + 524 = 5*o + 353. Calculate the remainder when m is divided by o.
33
Let z be (-1107)/(-45) - -6 - 3/5. What is the remainder when (-2 - (-132)/30)*z is divided by 25?
22
Suppose 0 = -c - c - 5*q + 10, 0 = 3*q. Let k = -387 + 405. What is the remainder when k is divided by c?
3
Let r(x) = -4*x**2 + 0*x**2 - 5 + x + 9*x**2 + x**2. What is the remainder when r(-2) is divided by 7?
3
Let i = -13621 + 13701. What i