4*z - 24 = 0, 8*z - 52 = -5*r + 6*z. Suppose 1372 = r*t - 5098. Calculate the remainder when t is divided by 25.
22
Suppose -74*w + 77*w - 4*y = 50, 0 = -5*w + 3*y + 65. Calculate the remainder when 2465 is divided by w.
5
Suppose f = -5, 36*f = 2*t + 32*f - 356. Calculate the remainder when 1677 is divided by t.
165
Let c(t) = -t**2 - 6*t - 3. Let d be 4/8*-3 - (-1)/(-2). What is the remainder when 0 + (-3 + 0 - -16) is divided by c(d)?
3
Let o(l) = -25*l - 85. Let z be 2/4*(-120)/12. Let t = -120 - -235. What is the remainder when t is divided by o(z)?
35
Let z(m) = m**3 + 2*m - 1. Let q(i) = 9*i**2 - 22*i + 34. Let b(l) = q(l) + z(l). Calculate the remainder when b(-11) is divided by 7.
4
Let f(w) = -w**3 - w**2 + 87. Let r be f(0). Suppose 5*z = -62 + r. Calculate the remainder when 2/(-4) + 78/4 is divided by z.
4
What is the remainder when (155/15 + -46)*60/(-2) is divided by 120?
110
Suppose -4*u = -4*n + 48, -19 = 2*u + 4*n + 5. Let d be 2*(1/2 + -1)*u. Let a = 12 + d. Calculate the remainder when a is divided by 5.
4
Let k(m) = -24*m**3 - 6*m**2 - 14*m - 1. Let v(r) = -3*r**2 - r - 2. Let c be v(0). What is the remainder when k(c) is divided by 51?
42
Let d(v) be the first derivative of 3*v**2 + 286*v - 68. Calculate the remainder when d(-13) is divided by 35.
33
Let a = 518 + -496. Let d be 4/(-24) + (-146)/(-12). Let l = a - d. What is the remainder when 26 is divided by l?
6
What is the remainder when 227 is divided by 65/39*(-36 - -6)/(-5)?
7
Suppose 284 + 488 = 3*c + g, 2*g = -3*c + 767. Suppose -c*v + 256*v = -96. Let y(b) = b + 1. What is the remainder when v is divided by y(11)?
8
Suppose -12 - 13 = 5*x. Let q(y) = -14*y + 16. Let i be q(x). Let h = i - 65. Calculate the remainder when 39 is divided by h.
18
Suppose -2*c + 3*h + 780 = 0, c + h - 390 = -h. What is the remainder when c is divided by 386?
4
Let i(n) = -78*n - 2096. What is the remainder when 2389 is divided by i(-27)?
9
Let h(s) be the third derivative of -s**6/30 - s**4/24 + s**3/6 - 5*s**2. Let q be h(1). What is the remainder when 4/(1/(-58)*q) is divided by 12?
10
Suppose 5*s = 5*h + 97 + 138, s - 4*h = 50. What is the remainder when 409 is divided by s?
41
Suppose 0 = 45*t - 1378 - 1157 + 780. Calculate the remainder when 96 is divided by t.
18
Let g(z) = -z**2 - 69*z + 3745. What is the remainder when g(-101) is divided by 175?
163
Let x be (-4)/2*(-882)/84. Calculate the remainder when 127 is divided by (176/77)/(3/x).
15
Let i(u) = -449*u - 2540. Let p be i(-6). Let x = -74 - -184. Suppose 11*l = x + p. What is the remainder when 45 is divided by l?
21
Suppose 2*o = o - r + 48, -5*o = -3*r - 256. Suppose -1224 = 24*q - 30*q. Suppose -588 = -q*c + 200*c. What is the remainder when c is divided by o?
47
Let u(t) = t**2 + 3*t - 17. Let v(k) = 1. Let y(b) = u(b) - 5*v(b). Let p be y(15). Let g = p - 130. Calculate the remainder when g is divided by 24.
22
Suppose a = 3*i + 581, 14*a + 20*i - 17*i - 8089 = 0. What is the remainder when a is divided by 479?
99
Let j be (-7 + 4 - (0 - -2)) + 7. Suppose j*c - 88 = -3*t + 97, 5*c + 220 = 3*t. What is the remainder when t is divided by 6?
5
Suppose -85*o + 87*o - 220 = -5*a, -245 = -5*a + 3*o. Calculate the remainder when 130 is divided by a.
38
Suppose 248*d + 5*h = 244*d + 434, -556 = -5*d - 4*h. Calculate the remainder when 5219 is divided by d.
115
Suppose 5*x - 5*l = -4*l + 63, 4*x - l = 50. Let k = 130 + -127. Suppose a = -3*y + 23, -33 = -4*y - k*a + 6. What is the remainder when x is divided by y?
1
Suppose -2*u - 1 = -9, -2*u + 428 = -2*b. Let r = 270 + b. Let p = 42 - 26. Calculate the remainder when r is divided by p.
12
Suppose -147*k = -157*k + 2760. What is the remainder when k is divided by 70?
66
Let b(h) = -8*h**2 + 3*h**2 - 4 + 6*h**2 - h + 4*h. Calculate the remainder when 34 is divided by b(-5).
4
Let a(w) = 3*w**3 - 28*w**2 + 22*w + 155. What is the remainder when 1721 is divided by a(8)?
71
Suppose -27*n + 2517 + 2863 = 493. Calculate the remainder when n is divided by 104.
77
Suppose o - 3*i - 26 = 50, o + 3*i = 88. Let j be 1 + (39 - -1 - 0). Let d = o - j. What is the remainder when d is divided by 21?
20
Suppose 12*s - 762 = 15*s. What is the remainder when s/(-10) - 6/15 is divided by 13?
12
Suppose -4*k + 300 = 6*k. Suppose -102*b = -99*b - 324. What is the remainder when b is divided by k?
18
Let y = -50 - -156. Suppose -5*k = l - 4*l - 289, -2*l = 2*k - y. Suppose 5*j - k = -21. What is the remainder when 47 is divided by j?
5
Suppose 4*b + 732 = 740. Let o = 71 + -47. Suppose -b*k + o = k. Calculate the remainder when 24 is divided by k.
0
Suppose q + q + i + 3 = 0, 0 = -2*q + i - 5. What is the remainder when 99 is divided by (q/(-6))/((-11)/(-429))?
8
Let i = 4496 - 4316. What is the remainder when 679 is divided by i?
139
Let o(j) = 41*j + 190. Calculate the remainder when o(6) is divided by 34.
28
Let f(x) = -18 + 8 - 4*x + 7 + x + 17*x**2. Calculate the remainder when 4/10 + (-238)/(-5) is divided by f(-1).
14
Let f(x) = 22*x**2 - 123*x - 34. Calculate the remainder when 5498 is divided by f(6).
18
Suppose 91*t - 15695 = 18*t. Let f = 7 - -17. What is the remainder when t is divided by f?
23
Let x(i) = 13*i**2 - 8*i + 3. Let b be x(1). Suppose -b*s = 41 - 1041. Calculate the remainder when 490 is divided by s.
115
Let c = -32 - -149. Let f = c - 86. What is the remainder when f is divided by 16?
15
Let q = -3408 - -3742. What is the remainder when q is divided by 48?
46
Suppose 1577*w = 1689*w - 54544. What is the remainder when w is divided by 1?
0
Let o be (-5)/(-6)*3 - (-9)/6. Suppose -3*g - 91 = -o*k, -8*k + 11*k - 66 = 3*g. What is the remainder when k is divided by 16?
9
Suppose 3*n + 2*n = 25. Let a be 13 - 5/1 - 3. Let b(j) = j**2 + 4*j - 26. Calculate the remainder when b(a) is divided by n.
4
Suppose -6*q = -31 - 107. Suppose q = 2*d - 41. Let c = d - 19. What is the remainder when 20 is divided by c?
7
Suppose -41*h + 1083 + 188 = 0. Calculate the remainder when 233 is divided by h.
16
Let j = 60 - 22. Let o = j + -24. Suppose 1 = -v + o. What is the remainder when v is divided by 4?
1
Suppose -21*x + 25*x + 24 = 0. Let y(t) = t**3 + 6*t**2 - 13*t - 67. Let s = -40 + 55. Calculate the remainder when s is divided by y(x).
4
Let d(a) be the first derivative of 19*a**2/2 + 107*a - 38. Calculate the remainder when d(17) is divided by 18.
16
Let s = -11191 + 11980. What is the remainder when s is divided by 20?
9
Suppose n - 5*n + 3*i + 986 = 0, 2*n - 2*i - 490 = 0. What is the remainder when n is divided by 96?
59
Let p(w) = 2*w**3 + 49*w**2 - 76*w + 132. Calculate the remainder when p(-26) is divided by 64.
16
Let c(g) = 84*g + 5. Suppose 5*x = 5*r + 6*x - 259, 0 = -5*r + 3*x + 263. Calculate the remainder when c(2) is divided by r.
17
What is the remainder when 360 is divided by -10 + 60 + 1 + -1?
10
Suppose 3*a = 5*l - 501, 0 = 168*l - 166*l + a - 207. Calculate the remainder when 222 is divided by l.
18
Suppose -14*i + 3*u - 218 = -18*i, -155 = -3*i + 2*u. Calculate the remainder when 548 is divided by i.
18
Let q(c) = 6*c**2 + 186*c + 481. What is the remainder when q(-30) is divided by 46?
25
Let u(f) = 106*f - 477. Calculate the remainder when u(16) is divided by 185.
109
Suppose -7*p + 51 = -6*p. Let v = -46 + p. What is the remainder when 88 is divided by (4/v)/(5*8/900)?
16
Let p be (-16)/6*(1107/2)/9. Let r = p - -246. What is the remainder when r is divided by 14?
12
Let x = -13658 + 13701. What is the remainder when 506 is divided by x?
33
Let j = 554 + -508. Calculate the remainder when 57 is divided by j.
11
Let k(s) = -80 - 81*s + 43 + 37. Suppose 0 = 3*g + j - 36, -4*g + 4*j = -19 - 29. Calculate the remainder when k(-1) is divided by g.
9
Let l be 20*((-2)/(-6))/(6/9). Let a be (-6)/4 + 15/l. Suppose 200 = 5*t - 5*c, t + 0*t + c - 38 = a. What is the remainder when t is divided by 14?
11
Let l(z) = -23*z**3 + z**2 + 8*z + 7. Let b be (2 - 6/4)/((-2)/4). Suppose 5*n = v + 72, -6 = 4*v + 2. What is the remainder when l(b) is divided by n?
9
Let d(r) = r**2 + 9*r - 27. Suppose -95 - 29 = -4*w. Suppose k - 34 = -2*s, -s + 90 = 2*k + w. Calculate the remainder when d(8) is divided by k.
25
Suppose -56*z + 79*z = 9315. What is the remainder when z is divid