t is the remainder when x(20) is divided by t?
32
Suppose 5*m - 180 = -0*m. Let n(f) = -29*f - 136. Let k be n(-5). Suppose 415 = k*o + 325. What is the remainder when m is divided by o?
6
Let o = -451 - -482. Let u(m) = m**2 - 17*m + 3. Calculate the remainder when o is divided by u(17).
1
Suppose -4*g + 216*w - 213*w = -233, 4*w + 236 = 4*g. Calculate the remainder when 537 is divided by g.
33
Let f(s) = 5*s**2 + 6*s + 11. Let o(j) = -2*j**3 + 3*j**2 - 3*j + 5. Let p be o(2). What is the remainder when f(p) is divided by 12?
10
Let u = -6232 + 6262. Calculate the remainder when 5909 is divided by u.
29
Suppose -461*r + 460*r = -235. What is the remainder when r is divided by 25?
10
Suppose 1365 - 379 = 34*c. Calculate the remainder when 552 is divided by c.
1
Let f(l) = l**3 - 8*l**2 - 9*l + 13. Let c = -3862 - -3923. What is the remainder when c is divided by f(9)?
9
Let s be 4/10 + (-1)/((-10)/2746). Let w = -265 + s. What is the remainder when 35 is divided by w?
5
Let p = -61 - -58. Let v be (-1 - -3)*(p + (-1 - -10)). Suppose v*x = -x + 689. Calculate the remainder when x is divided by 18.
17
Let v(b) = 2*b**3 - 13*b**2 - 24*b + 46. Calculate the remainder when 174 is divided by v(8).
36
Suppose 24*j - 11*j - 78 = 0. Calculate the remainder when (48/(-28))/j + (-1122)/(-7) is divided by 54.
52
Let l = 533 - 482. What is the remainder when l is divided by ((9 - 23) + 15)/((-2)/(-8))?
3
Let o(n) = 312*n**2 + 3*n + 3. Suppose 5*f = -2*a + 177, -5*f = -6*a + 3*a - 172. Calculate the remainder when o(-1) is divided by f.
32
What is the remainder when (-3 + 4)/((1/122)/((-61)/(-2))) is divided by 49?
46
Calculate the remainder when (-270084)/(-2769) + (-12)/(-26) is divided by 2.
0
Calculate the remainder when 4954 is divided by (13827/(-45))/(-11) + (-30)/(-450).
26
Suppose -169 = -24*o + 1278 + 497. What is the remainder when 129 is divided by o?
48
Suppose -p + 4*i + 147 = 0, -p - 3*i + 79 + 54 = 0. Let u(o) = 5*o - 142. Let j be u(36). Let x = -14 + j. Calculate the remainder when p is divided by x.
19
Let r be (-6 + -1)*32/(-56). Let i(p) = 2*p**3 - 5*p**2 - 9*p - 2. Let k be i(r). What is the remainder when (-8)/k*(109 - -6)*-1 is divided by 32?
28
Let r(v) = 3*v**2 + 178*v + 116. Calculate the remainder when r(-60) is divided by 121.
115
Let z(w) = -8*w**2 + 2*w + 78. Let m be z(0). Let n be (51/(-3))/((-2)/52). Suppose 5*c - m - n = 0. What is the remainder when c is divided by 36?
32
Suppose 0 = -18*g + 31*g - 236 + 67. Calculate the remainder when 273 is divided by g.
0
Let o(s) = -4*s**3 - 10*s**2 + 5*s - 2. Let l(w) = w**3 + 3*w**2 - 2*w + 1. Let q(b) = -7*l(b) - 2*o(b). Calculate the remainder when q(4) is divided by 13.
9
Calculate the remainder when 12/(-18)*((-3)/(-4) - (-8418)/(-8)) is divided by 8.
5
Let r = 162 + -68. Let q = 130 - -193. Suppose -11*d + q = 6*d. Calculate the remainder when r is divided by d.
18
Let p = 10 - -71. Let a(t) = -2*t**3 - 10*t**2 + 6*t + 55. Let z be a(-6). Let l = z - p. Calculate the remainder when 36 is divided by l.
6
Suppose 0 = 9*u - 10*u - 243. Calculate the remainder when 577 is divided by u/(-12) + 29/(-116).
17
Suppose -4*l + 132 = 5*a + 33, -5*a + 100 = 5*l. Let y(u) = 5*u - 8. Let h be y(6). Suppose h*n - 78 = a*n. Calculate the remainder when 76 is divided by n.
24
Suppose -30*h + 32*h = 4. Suppose -h*k + 14*k = 2760. Suppose m + 38 = j, -2*m = 5*j - k + 26. Calculate the remainder when j is divided by 22.
18
Let v(j) = 20*j. Let g(f) = -f**3 + 15*f**2 + 36*f - 21. Let h be g(17). Suppose -h*u + 18*u - 485 = 0. Calculate the remainder when u is divided by v(1).
17
Suppose 2*w - 210 = 5*h, -125 = -3*w + 2*h + 190. Calculate the remainder when w is divided by 21.
0
Let a = 1766 - 1715. What is the remainder when 74 is divided by a?
23
Suppose 5*j - 18 = 8*j. Let d = j + 14. Suppose 0 = -554*g + 605*g - 1224. Calculate the remainder when g is divided by d.
0
Suppose 4*n = 5*m + 4811, 80*m = 3*n + 81*m - 3632. Calculate the remainder when n is divided by 94.
81
Suppose -9210 = 192*q - 499*q. Calculate the remainder when 1049 is divided by q.
29
Suppose 123601*n - 123683*n + 3116 = 0. Let z(q) = 4*q**3 - 3*q**2 + 3*q + 1. What is the remainder when z(3) is divided by n?
15
Let r(h) = h**3 - 17*h**2 - 15*h + 65. Let j be r(18). Suppose -382 = 117*w - j*w. Calculate the remainder when w is divided by 9.
2
Let f(x) = -7*x - 1 + 24*x - 2. Calculate the remainder when f(5) is divided by (((-340)/(-6))/10)/((-4)/(-12)).
14
Let g(s) = -s**3 - 7*s**2 - 2*s - 14. Let p be g(-7). Let l(m) = -3*m**3 - m + 12. What is the remainder when ((-153)/(-12))/3*8 is divided by l(p)?
10
Let a(r) = -2*r**2 + 41*r - 104. What is the remainder when 1790 is divided by a(4)?
26
Let i(r) = -7*r + 12. Let w be i(4). Let m = 18 + w. Suppose 0 = -l - 2*t + 81, -3*l - m*t = -233 + 10. Calculate the remainder when l is divided by 12.
11
Let f = 2077 - 2009. Let o(i) = 4*i - 8. What is the remainder when f is divided by o(8)?
20
Suppose 5*k + 5*m - 30 = 0, 2*k - 3*k - 5*m - 14 = 0. Suppose 0 = -x + 3*t, 5*x - 8*t = -k*t + 90. Calculate the remainder when 222 is divided by x.
12
Let d(t) = -t**3 + 6*t**2 - 10*t + 9. Let y be d(4). What is the remainder when (-592)/(-16) + (0 - -1) + y is divided by (56/6)/(8/12)?
11
Calculate the remainder when 4275 is divided by (3 - -141) + (-6 + -6 - 12/(-2)).
135
Let t(j) = -9*j - 59. Let m(c) = -5*c**2 + 7*c - 4. Let i be m(2). What is the remainder when (0 + -122)/(-2) + -2 is divided by t(i)?
28
Let y = 1734 + -1643. Let j = -162 - -272. Let l = j + -78. What is the remainder when y is divided by l?
27
Let s(r) = -43*r + 2. Let q be s(-7). Suppose 5*n - 519 = -2*i, -3*n - 3*i + q = i. Calculate the remainder when n is divided by 36.
33
Suppose 2*j - 660 = -3*j. Suppose 3*x + a - 69 = 0, -3*x - 22 + 91 = 2*a. Calculate the remainder when j is divided by x.
17
Let z = 966 + -307. Suppose -2*r - 227 = -z. Suppose r = -6*j + 9*j. What is the remainder when j is divided by 25?
22
Let r(c) = 10*c**2 - 75*c + 4. What is the remainder when 394 is divided by r(9)?
116
Suppose 0 = f - 1 - 25. Suppose -682 = -454*m + 29282. What is the remainder when m is divided by f?
14
Let v = -297 + 465. Let h = v - 116. What is the remainder when 203 is divided by h?
47
Let z = -150 - -158. Suppose -z*o - 516 = -20*o. Calculate the remainder when 884/7 - (-14)/(-49) is divided by o.
40
Suppose 19*q - 3234 = -2*q. Calculate the remainder when q is divided by 54.
46
Let l = 22 + -22. Suppose l*q = 6*q + 36. Let o(g) = -5*g - 13. What is the remainder when o(q) is divided by 9?
8
Let r(k) be the second derivative of -1/20*k**5 + 1/2*k**4 + 37*k + 1/2*k**3 + 0 + k**2. Calculate the remainder when r(4) is divided by 8.
6
Suppose 5*v - 333 = 2*v. Let r = 280978 - 280318. Calculate the remainder when r is divided by v.
105
Suppose 137 - 16365 = -15*d + 13292. Calculate the remainder when d is divided by 10.
8
Let o(t) be the second derivative of -t**5/20 + 5*t**4/6 + t**3 - 11*t**2 + 37*t. What is the remainder when 151 is divided by o(10)?
37
Calculate the remainder when 11 is divided by (725/(-290))/(5/(-4)).
1
Let f = 56189 + -56167. What is the remainder when 1971/(-12)*8/(-2) is divided by f?
19
Suppose 0 = 3*r - 32*j + 33*j - 33, 4*r - 2*j - 44 = 0. Calculate the remainder when 967 is divided by r.
10
Let h = -22 + 68. Let d(g) = 3*g**2 - 135*g - 36. Let u be d(45). Let b = u + h. What is the remainder when 28 is divided by b?
8
Let h(f) = 3*f**2 + 2*f - 5*f - 4*f**2 - 7 - 7*f. Suppose -9*n = -342 - 45. Calculate the remainder when n is divided by h(-7).
1
Let p be 68/32 - (-27)/(-216). Suppose -125*x + 750 = -122*x - 3*b, 4*b + 496 = p*x. What is the remainder when x is divided by 81?
9
What is the remainder when 133 is divided by (10/(-8))/(-5*(-13)/(-728))?
7
Let j(q) = -72*q + 2237. Calculate the remainder when j(16) is divided by 34.
31
Let l = 167 - 99. Suppose -10*c = -11*c + l. Suppose 13*d - 11*d - c = 0. Calculate the remainder when d is divided by 9.
7
Let g(j) = -306*j - 204. What is the remainder when g(-1) is divided by ((-53)/(-2))/((-1)/(-2))?
49
Let b = -431 - -433. Suppose -z + b*m + 103 = 0, 0*z + 5*m + 530 = 5*z. Calculate the remainder when z is divided by 40.
29
Let g = 29 + -2