he remainder when 56 is divided by j.
21
Let x = -26 - -61. Suppose -4*z = -75 + x. Calculate the remainder when 47 is divided by z.
7
Suppose 30*w - 1987 = 2213. Let c = w - -351. Calculate the remainder when c is divided by 82.
81
Let i(l) = -l**3 - 27*l**2 + 2*l + 58. Let s be i(-27). Suppose 0 = s*h - 2 + 14, -3*a = -h - 24. What is the remainder when 16 is divided by a?
2
Let l(g) = -45*g**2 + 17*g + 5. Let d(j) = 22*j**2 - 9*j - 2. Let v(t) = 9*d(t) + 4*l(t). Let h = 16 + -6. Calculate the remainder when v(2) is divided by h.
8
Let c be ((-317)/(-11) - -3) + 12/66. Suppose 308 = -28*f + c*f. Calculate the remainder when f is divided by 27.
23
Let o(l) = 886*l - 4009. What is the remainder when o(7) is divided by 21?
9
Let l be 9/6 + 546/(-4). Let a be ((-4)/18)/(15/l). Suppose 0 = -u + 2*u - a*o - 102, -5 = 5*o. Calculate the remainder when u is divided by 17.
15
What is the remainder when 166 is divided by -1*(4 - 3) - 1/(18/(-594))?
6
Let q(u) = -u**3 - 12*u**2 + u - 29. Let o be q(-13). Let j = o - 109. What is the remainder when 98 is divided by j?
8
Suppose 7 = -3*y - 2*x + 12, -4*y + 2 = 5*x. Suppose -y*p - 2*k + 41 = 0, 44 = 2*p + 2*k - 4*k. Calculate the remainder when p is divided by 9.
8
Let d be 122/22 - (-426)/(-781). What is the remainder when 95 is divided by (-24)/(-30)*d + 10*1?
11
Let o = 9973 + -9877. What is the remainder when 373 is divided by o?
85
Calculate the remainder when 642 is divided by (-3 - -1)*(-22)/(-220) + (-922)/(-10).
90
Suppose 5*s + 1589 = y, -4*y = 40*s - 36*s - 6428. Calculate the remainder when y is divided by 15.
14
Suppose -4*l + 0*l + 5*a = -55, 3*a - 31 = -4*l. Let g = 20 - l. Calculate the remainder when g is divided by 3/(5 + 68/(-16)).
2
Let f(j) be the third derivative of 0*j - 11*j**2 - 11/6*j**3 - 1/60*j**5 + 0 + 19/24*j**4. What is the remainder when f(16) is divided by 8?
5
Suppose 36*n = -4*n. Suppose n*m + 7*m - 238 = 0. Calculate the remainder when m is divided by 20.
14
Suppose -16*a + a + 3366 = 3*a. What is the remainder when a is divided by 29?
13
Let u = -6498 - -13308. Suppose 5*r = -10*r + u. Calculate the remainder when r is divided by 12.
10
Suppose 17*z = 4*z - 65. Suppose 4*j - 6 = 2. Calculate the remainder when j is divided by -2 + (-8)/(10/z).
0
Let l(i) = -17*i + 16. Let x be l(-2). Let t = x - 144. Let j = 170 + t. Calculate the remainder when j is divided by 6.
4
Let h be (-3)/9 - 21/(-9). Suppose -3*i + 2*i - 3*y = 8, 3*i - h*y = 20. Suppose -25*z + 623 = -9*z + 73*z. Calculate the remainder when z is divided by i.
3
Let r = 333 + -312. Suppose -r*k - 366 + 1857 = 0. Calculate the remainder when k is divided by 18.
17
Suppose -2*y + 106 + 116 = 0. Suppose 4*p = -2*c + 70, 5*c = 2*p + y + 88. Suppose 0 = 23*h - 24*h + c. What is the remainder when h is divided by 10?
9
Suppose 374*n - 118*n = 10496. Suppose -3*z - u - 6 + 40 = 0, -3*z + 2*u + 31 = 0. Calculate the remainder when n is divided by z.
8
Suppose -29*m + 69 - 96 = 147. Let d(n) be the second derivative of n**5/20 + n**4/2 + 9*n**2/2 - n. What is the remainder when d(m) is divided by 6?
3
Let m(f) = 10*f**2 - 435*f - 218. What is the remainder when 0 - 1/(2/(-6)) is divided by m(44)?
1
Suppose -20*b + 2375 = 9895. What is the remainder when 82 is divided by ((-2)/(-4) + 1)/((-12)/b)?
35
Let p = -61 - -73. Suppose 2*h = -p*h + 280. Calculate the remainder when 56 is divided by h.
16
Let c(z) = 6*z**3 + z**2 + z - 2. Let t be c(1). Let q(y) = 10*y + 67. What is the remainder when q(t) is divided by 10?
7
Suppose 3997 - 181 = 12*g. Suppose 0 = -7*f + 4 + g. What is the remainder when f is divided by 26?
20
Let w = -15218 + 15273. Calculate the remainder when 1041 is divided by w.
51
Let v(w) = -2*w - 83. Let d(g) = -1. Suppose 21*o - 13*o = -8. Let i(k) = o*v(k) + 4*d(k). What is the remainder when 28 is divided by i(-30)?
9
Let o = 648 - 611. Calculate the remainder when 118 is divided by o.
7
Suppose 197*x = -3*k + 200*x + 1134, 0 = -3*k - 2*x + 1164. Calculate the remainder when k is divided by 100.
84
Suppose 3*p + 855*b - 857*b = 258, -172 = -2*p - 3*b. Calculate the remainder when 592 is divided by p.
76
Let q(y) = y**3 + 7*y**2 - y - 76. Let i be q(-10). Let j = 572 + i. What is the remainder when j is divided by 70?
66
Let b(g) = -713*g - 2681. Calculate the remainder when 13676 is divided by b(-4).
167
Suppose -5*n + 54 = x, 4*x - 12*n - 216 = -13*n. What is the remainder when 160 is divided by x?
52
Suppose 11*k - 5082 = -3*k. Let d = k + -338. What is the remainder when 122 is divided by d?
22
Let h = 9198 - 9166. Calculate the remainder when 284 is divided by h.
28
Suppose 3*o = 104 - 803. Let v = -197 - o. Suppose 4*z + 127 = t, t - 7 - 115 = 3*z. Calculate the remainder when t is divided by v.
35
Let g = -40 + 80. Calculate the remainder when 33*1/((-45)/(-435)) is divided by g.
39
Suppose 5*v + 115 = -0*r + 2*r, -3*r - 2*v = -144. Suppose -r = -z + 3. Calculate the remainder when z is divided by 28.
25
Suppose -2*r - 3*x = -148, -5*r - 13*x = -18*x - 370. Calculate the remainder when r is divided by 13 + 9/((-18)/(-4)).
14
Let o be 0/12*(1 + (-9)/6). Suppose -3*h + 73 + 2 = o. Calculate the remainder when 64 is divided by h.
14
Let c = 991 - 1059. Suppose 124 + 623 = 5*y + b, -4*y + 4*b + 612 = 0. Let s = y + c. What is the remainder when s is divided by 28?
26
Let d = -461 - -463. Calculate the remainder when 249 is divided by 16 + 21 + (-2)/d.
33
Suppose -2*t = -5*s - 79, -s - 12 = 2*t - 73. What is the remainder when 569 is divided by t?
25
Calculate the remainder when 454 is divided by 583/8 + 2678/8240 + (-1)/5.
16
Let h = -116 + 131. Suppose -5*k = 7 - 2. What is the remainder when 47 + (6/(-12))/(k/(-6)) is divided by h?
14
Suppose 8*a - 156 = 14*a. Let r = a + 178. Calculate the remainder when r is divided by 13.
9
Let r(o) be the first derivative of 2*o**3/3 + o**2 - 110*o + 31. Calculate the remainder when r(10) is divided by 41.
28
Let t = -33 + 36. Suppose t*n + 31 = -4*x - 68, 0 = -2*x. Let w = n - -43. Calculate the remainder when 17 is divided by w.
7
Suppose 2*s - 708 = -7*s + 264. What is the remainder when 309 is divided by s?
93
Suppose -5434 = 6*u - 91*u - 124*u. Calculate the remainder when 1226 is divided by u.
4
Suppose -2*u - 329 = -5*x, 2*x - 3*u - 140 = 2*u. Suppose 14*g + 4*y - 109 = 7*g + y, -8 = y. Calculate the remainder when x is divided by g.
8
Let t = 82 - 81. Let m be (1 + t/(-4))*24. Suppose 0 = -m*a + 13*a + 115. Calculate the remainder when a is divided by 3.
2
Suppose i + 270 = 4*i - p, i - 103 = -4*p. Calculate the remainder when i is divided by 23.
22
What is the remainder when 171 is divided by (-252)/(-33)*(-297)/(-54)?
3
Let t(i) = -i**3 + 35*i**2 - 34*i + 7. Calculate the remainder when 130 is divided by t(34).
4
Let z be (-2)/(-5) + 2012/20. Suppose -19 = -4*w - 3. Suppose -z = -w*y - 45. Calculate the remainder when 28 is divided by y.
0
Let c(l) = 2*l**3 + l**2 + 6*l + 4. Let h be c(-1). What is the remainder when h*15/((-45)/52) is divided by 5?
2
Suppose -145*l - 570 = -105*l - 1730. Let h(z) = -7*z - 3. Calculate the remainder when l is divided by h(-3).
11
What is the remainder when 3 - ((-60)/36)/(3/1854) is divided by 93?
10
Let c(i) = i**2 + 7*i - 16. Let n be c(-9). Suppose 4*d - 5*f = 14, -3*d - 5*f + n*f = -24. Calculate the remainder when (46/d)/((-5)/(-15)) is divided by 13.
10
Let u(w) = -w**3 - 8*w**2 + 17*w + 76. Calculate the remainder when u(-10) is divided by 100.
6
Suppose 2014 = 11*z + 27*z. Calculate the remainder when 2384 is divided by z.
52
Let g(z) = 206*z**2 + 71*z - 74. What is the remainder when g(1) is divided by 41?
39
Let n(j) = -85*j**2 - 27*j + 27. Let c(s) = 41*s**2 + 13*s - 13. Let d(y) = 5*c(y) + 2*n(y). What is the remainder when d(1) is divided by 15?
5
Suppose 370*m - 345*m = 1675. What is the remainder when 237 is divided by m?
36
Let a be 3*((-2)/9 - (-2144)/144). Suppose -a*k - 148 = -46*k. What is the remainder when k is divided by 15?
14
Let q = 152 + -143. Suppose -q = h - 11. What is the remainder when 11 is divided by h?
1
Let z be (-52 - -52)/(0 + 0 - 3). Suppose 5*l + 69 = 3*b, 2*b - l = -z + 53. Calculate the remainder when 194 is divided by b.
26
Suppose -12*f + 5*f + 70 = 0. What is the remai