t - 14049 + 640. Calculate the remainder when t is divided by m(1).
13
Let k(h) be the third derivative of 13*h**5/15 - h**4/24 + h**3/3 + 5*h**2. What is the remainder when 101 is divided by k(1)?
48
Suppose 3*j = -4*u - 45, -2*u = -2*j + 3*j + 21. Suppose 154 - 382 = -4*i. Let q = u + i. Calculate the remainder when 188 is divided by q.
44
Suppose 5*o + h - 2*h = 443, 0 = o + 5*h - 73. Let v = 3614 - 3601. What is the remainder when o is divided by v?
10
Suppose 6456 = c + 2*w + 4873, -5*w = -4*c + 6306. Calculate the remainder when c is divided by 145.
129
Suppose 32*o = 232 - 104. Suppose 3*v - 4*l + 402 = 8*v, v - 5*l = 63. What is the remainder when v is divided by o?
2
Let h be (2/(-4))/(12/(-240)). Calculate the remainder when 108 is divided by ((-648)/(-60) - 11) + 292/h.
21
Let r(q) = 71*q - 11. Let g = -49 + 133. Suppose -g = -x + 153. Calculate the remainder when x is divided by r(1).
57
Let i be 48*((-171)/(-54) - 8/12). Suppose i = -69*t + 79*t. What is the remainder when 131 is divided by t?
11
Let u(a) = 6*a**2 - 28*a + 1. Let l be (-1)/(-2 - (-56)/35)*2. What is the remainder when 184 is divided by u(l)?
8
Let j = -41909 + 41926. What is the remainder when (83/4)/((-6)/(-24)) is divided by j?
15
Let p be 1/(15/(-6))*-15. Let z(g) = g**2 - 8. Suppose 5*v + 95 = 2*h, -123*v + 122*v = -4*h + 217. What is the remainder when h is divided by z(p)?
27
Let q = -62 + 119. Suppose 3*w + 9 = 0, 590*x + 5*w = 593*x - 57. What is the remainder when q is divided by x?
1
Let c be (-10)/15*(0 + -5 + 1115). Let y = -528 - c. Calculate the remainder when y is divided by 71.
70
Suppose -3*u + 2*c = -43, -2*u + 3*u = -3*c + 18. What is the remainder when (-6)/u + 1456/40 is divided by 24?
12
Suppose 0*h = -2*h + 6. Let q(f) = 2*f**2 - 25. Let k be 4 - ((-2 - -10) + -8). What is the remainder when q(k) is divided by h?
1
Suppose -3*m + 70 = 28*z - 24*z, 0 = -z - 3*m + 13. Calculate the remainder when 2711 is divided by z.
13
What is the remainder when 693 is divided by (1 - -49) + (9/(-15)*-30 - 11)?
9
Let w(u) = 299*u - 2324. What is the remainder when 813 is divided by w(8)?
65
Let u(t) = 390*t + 2107. What is the remainder when u(-5) is divided by 69?
19
Let v = -46 - -49. Suppose -396 = 7*p - 11*p + 4*a, -v*p + 287 = -a. What is the remainder when p is divided by 22?
6
Let a(j) = 5*j**2 + j + 1. Let w be a(-1). Suppose -5*f + 4*f + w = 0. Let z = -48 + 63. What is the remainder when z is divided by f?
0
Suppose 5*m - 24 = -19. What is the remainder when 39/(-13) + (m*77 - 0) is divided by 15?
14
Suppose 2*d + 5*h = 133, 3*d + 104 - 309 = -2*h. Calculate the remainder when d is divided by 24.
21
Suppose 50*k + 148 = 21*k + 4817. What is the remainder when 603 is divided by k?
120
Let r(w) be the second derivative of 0 - 1/6*w**3 + 1/2*w**2 + 7/12*w**4 - 2*w. What is the remainder when 30 is divided by r(1)?
2
Let z = 53 - 48. Suppose 2*y = -y - 3*a - 3, a = -4*y + z. Suppose -y*u - 72 = -4*u. Calculate the remainder when 137 is divided by u.
29
Let z = -3887 - -3902. What is the remainder when 582 is divided by z?
12
Let r(u) = 6*u - 2*u - 16 + 6*u - 16*u. Calculate the remainder when r(-6) is divided by 12.
8
Suppose -3*k = s - 24, -5*k = -4*s + 7*s - 72. Let j be -3 + (s/2)/((-28)/(-14)). Suppose 0*o = -j*o + 48. What is the remainder when 76 is divided by o?
12
Let a = -27 + 54. Let s = 438 + -405. Suppose -8*t - 250 = -s*t. Calculate the remainder when a is divided by t.
7
Suppose 0 = -6*i + 177 + 45. Suppose 72 = 3*u + 3*m, 3*u - 6*m - 51 = -2*m. Calculate the remainder when i is divided by (-2)/(-7) + 267/u.
11
Let z be (-20)/(-50)*(-2 + 12). Suppose -2*p + z = -3*p. What is the remainder when (14/6)/(p/(-48)) is divided by 10?
8
Suppose 12 = -5*v + 17. What is the remainder when 33 is divided by (-4)/(-6) + ((-25)/(-3))/v?
6
Let c be (-260964)/(-45) + 28/35. Suppose 5*w + 20*w - c = 0. Calculate the remainder when w is divided by 78.
76
Suppose 0 = -3*u - 233 + 62. Let p = u + 113. What is the remainder when p is divided by 13?
4
Suppose 203 - 174 = k. Suppose -2*t = 2*j - 292, -t = 2*j - 7*j + 712. Calculate the remainder when j is divided by k.
27
Suppose 3*i = -5*q + 5, 5*i + q = 3*i - 6. Let p(u) = -u**3 - 5*u**2 + 5. What is the remainder when 10 is divided by p(i)?
0
Suppose -2*h = 2*i - 96, i - 276*h + 278*h = 46. Calculate the remainder when 1298 is divided by i.
48
Suppose 0 = -3*i + 3*y + 72, -i + 3*y + 2 = -12. Let x be 3/(4/(32/1)). Calculate the remainder when i is divided by (-1 + -1)/((-6)/x).
5
Suppose 2*i + 4 = 0, 2*i + i = 4*b - 586. Let c be (-4)/5 - (-86826)/b. Suppose -7*d - 136 = -c. Calculate the remainder when d is divided by 14.
10
Calculate the remainder when (-19 - (3 - 2))/((-73)/584) is divided by 46.
22
Let g(x) = -3*x - 10. Let y = 22 + -22. Suppose -4*v - 3*w + 22 = y, -4*v + 2*w + 15 = 3. Calculate the remainder when g(-7) is divided by v.
3
What is the remainder when 1/(-2)*(-53)/((-689)/(-5928)) is divided by 107?
14
Let g = -26047 - -26100. What is the remainder when 2186 is divided by g?
13
Suppose -23 = -30*k + 97. Suppose 6*x - 4*x = -5*r + 34, -k*r = 0. Calculate the remainder when 59 is divided by x.
8
Let l = -53412 - -53444. Let m = 3 + -1. Calculate the remainder when l is divided by 1/(m/32) + 2.
14
Let k = 340 + -221. Suppose -3*s = 2*z - 12, -2*s - 2*s + 16 = 3*z. Suppose 34*r - 33*r - 11 = z. What is the remainder when k is divided by r?
9
What is the remainder when (-528)/(17 - -5)*(-906)/8 is divided by 17?
15
Suppose 1 = 3*w + 4*r, 3*w - 5*r = -0*w + 19. Let t be (76/(-6))/(10/(-12495)*-7). What is the remainder when t/(-255) - 6/(-45) is divided by w?
0
Suppose -g + 226 = -4*f, -92*g + 660 = -89*g - 3*f. Calculate the remainder when g is divided by 17.
14
Let o = 17040 - 16931. What is the remainder when 657 is divided by o?
3
Suppose 3*c + c = 144. Let i = 43145 + -43067. What is the remainder when i is divided by c?
6
Suppose 2*y = -4*y + 66. Let d(a) = a**3 - 11*a**2 + 2*a - 14. Let b be d(y). What is the remainder when 12 is divided by ((-2)/b)/((-21)/588)?
5
Suppose 3515 = -17*d + 3889. Let v(j) = -j - 6. Let f be v(7). What is the remainder when d is divided by f/(0 - (3 + -2))?
9
Let y = -21332 + 21378. Calculate the remainder when 3995 is divided by y.
39
Suppose 89 = -463*u + 469*u + 11. What is the remainder when 661 is divided by u?
11
Let y(t) = -t**3 + 65*t**2 - 309*t + 550. Calculate the remainder when 745 is divided by y(60).
5
Suppose -31122 - 41822 = -94*z. Calculate the remainder when z is divided by 156.
152
Suppose -7 = 4*h - 2*h - 5*g, 0 = -5*h - 5*g + 35. Let b = -66 - -94. Let j = -9 + b. What is the remainder when j is divided by h?
3
Suppose -5*m = -i - 8, -119*i - 8 = -m - 122*i. Calculate the remainder when 111 is divided by m.
1
Suppose -1571 = -0*f - 7*f - 360. Calculate the remainder when f is divided by 14.
5
Suppose 67 = 5*l - y, -5*y = 3*l - 8*l + 75. Calculate the remainder when 59 is divided by l.
7
Let v(p) = 8*p**2 + 22*p - 153. Calculate the remainder when 1210 is divided by v(7).
31
Let i = 220 - 166. Let d = 61 - i. Calculate the remainder when 23 is divided by d.
2
Let f = -95 + 154. Calculate the remainder when f is divided by 10.
9
Let f = 786 - 632. Suppose -20*t + f = -186. Suppose 0 = -4*q + 2*n + 39 + 5, -25 = -q + 4*n. Calculate the remainder when t is divided by q.
8
Suppose s = -21 - 7. Let i = 28 + s. Suppose -d - 27 = -4*r - 0*d, i = -2*r + 3*d + 21. Calculate the remainder when 14 is divided by r.
2
Let g = 19051 + -18754. What is the remainder when g is divided by 37?
1
What is the remainder when -5 + 9*-1*(-17 - 100111/171) is divided by 14?
13
Let f(g) = -g**3 - 9*g**2 + 10*g + 22. Let h be f(-11). Let x = h + -128. What is the remainder when 67 is divided by x?
15
Let z(u) = 32*u + 194. Let p be z(-6). Let x = -9 - -13. Suppose -4*m = p*r - 18, x*m - 28 = -3*r - r. What is the remainder when 14 is divided by r?
4
Let d = 6 + -4. Suppose 660 = 15*k + 117*k. Suppose b = -s + 33, -6*s + 127 = -d*s + k*b. Calculate the remainder when 189 is divided by s.
37
Let w(x) = x**3 - 11*x**2 - 9*x - 19. What is the remainder when w(18) is divided by 87?
86
Suppose 51*z - 1642 + 25459 = 0. Let j = -312 - z. What is the remainder when j is 