 3*f + 88, -5*q - 2*f + h = -55. What is the remainder when q is divided by 8?
7
Suppose 10*w - 988 = 22. Let a = -73 + w. Calculate the remainder when 70 is divided by a.
14
Let h be (-4)/14 + (-2)/(-7). Let g be ((-54)/(-63))/(6/(-21)) - -7. Suppose h = -g*x + 83 + 21. Calculate the remainder when 50 is divided by x.
24
Calculate the remainder when (-144)/(-120) + 88/(-90) + 1886/18 is divided by 7.
0
Let q(r) = 7*r - 4. Let n be q(2). Let t = -112 - -136. Calculate the remainder when 1/(3/57)*n is divided by t.
22
Suppose 302*z + 4*z + 7706 - 49016 = 0. What is the remainder when 4450 is divided by z?
130
Calculate the remainder when 921 is divided by (36/72)/(5/460).
1
Let o(f) = 18*f**3 - 12*f**2 + 22*f + 10. What is the remainder when o(2) is divided by 4*12 + 2 + 1?
48
Let n(o) = 37*o + 22. Let j(u) = -4*u + 25. Let h be j(5). What is the remainder when n(h) is divided by 21?
18
Suppose n - y + 5*y + 6426 = 0, -n + 2*y = 6420. Calculate the remainder when 268 is divided by (-29)/(4147/n) - (-2)/22.
43
Let b = 16678 - 16634. What is the remainder when 579 is divided by b?
7
Let d be (-3 + (-35)/(-21))/((-2)/345). Calculate the remainder when 50 is divided by (d/(-184))/((-10)/48).
2
Suppose -4*t + 1333 = -3*q + 8*q, 3*t - 1020 = 3*q. Let c = t + -143. Calculate the remainder when c is divided by 28.
26
Let q be (-134 - -6)/(-8) + -9. Suppose q + 137 = 6*l. What is the remainder when 104 is divided by l?
8
Let p(m) = -7 + 8*m + 34*m**2 - 36*m**2 + 8*m. Suppose -2*b = -3*s - 13, 2*s + 0*s + 7 = b. What is the remainder when 112 is divided by p(b)?
20
Suppose 16 + 69 = 5*q + 5*o, 2*q - 74 = -12*o. What is the remainder when 597 is divided by q?
12
Let q be 15/18 - 6/(-36). Let p be -7*(2 - q)*(0 - 1). Let j(v) = 7*v**2 - 28*v + 5. Calculate the remainder when j(p) is divided by 39.
35
Let d = 53 - 53. Suppose d = 2*w + 3*w - 10. Calculate the remainder when -42*((-1)/w + -4) is divided by 38.
37
Suppose 0 = -f - 0*f + 2. Suppose -4*k + f = -3*k. Suppose 5*o + 70 = 2*t + k*o, 4*t = o + 120. Calculate the remainder when t is divided by 15.
14
Suppose -9*o + 365 - 1346 = 0. Let n = -68 - o. Calculate the remainder when 80 is divided by n.
39
Suppose 24 - 98 = a. Let l(u) = 4*u**2 + 11*u - 22. Let g be l(5). Let q = a + g. What is the remainder when q is divided by 21?
17
Let n(h) = h**2 + 26*h + 405. What is the remainder when n(-10) is divided by 69?
38
What is the remainder when 2425 is divided by (15 - -4) + -15 + 399?
7
Suppose 15865 = 5*m + 5*b, 126*b = 2*m + 131*b - 6364. What is the remainder when m is divided by 144?
143
Suppose 11*l - 2*l + 27 = 0. Let q be 16 + (0 - -3*(-1)/l). Suppose -q*p + 520 = -7*p. Calculate the remainder when p is divided by 18.
16
Let j(c) = -11*c**2 - 18*c - 27. Let v(r) = 6*r**2 + 8*r + 14. Let m(z) = 4*j(z) + 7*v(z). Let y = 51 + -12. What is the remainder when y is divided by m(-6)?
11
Suppose 0 = -3*h - 5*r + 102, 3*h + r - 54 = 60. Suppose 3*k = 6*k + 9. Let c = k + 13. What is the remainder when h is divided by c?
9
Let f(u) = 3*u + 129. Let v be f(0). Let p = v - 93. Let m = 89 - p. Calculate the remainder when m is divided by 18.
17
Let s = 5618 + -5408. What is the remainder when s is divided by 189?
21
Let g(i) = -i**3 - 7*i**2 - 4*i - 19. Let w(l) = -l**3 - 5*l**2 - 9*l - 16. Let r be w(-3). Calculate the remainder when 15 is divided by g(r).
6
What is the remainder when 524 is divided by ((-552)/(-3) - -5) + 7/((-21)/12)?
154
Suppose -2*r = 4*s - 10, 0 = -r + 10*s + 27 + 62. Calculate the remainder when 711 is divided by r.
8
Suppose 0 = -293*q + 291*q + 258. Suppose 0 = -4*k + 17*x - 14*x + q, 2*k - 2*x = 66. What is the remainder when 58 is divided by k?
28
Suppose 11*c + 728 = -460. Let r = c - -77. Let p = r + 50. What is the remainder when 68 is divided by p?
11
Let p be (0 + (8 - 2))/((-9)/(-12)). Let h be (((-20)/p + 2)*-2)/(-1). Calculate the remainder when (-1)/((-252)/249 - h) is divided by 22.
17
Let p = -1528 + 1682. What is the remainder when p is divided by 105?
49
Suppose -z + 6 = 2. Suppose -z*q - 14*q = -1908. Suppose 2*w + 2*w = -4*c + 140, -4*w = 4. What is the remainder when q is divided by c?
34
Suppose -5*s - 11*k + 8*k = -704, 5*k = -4*s + 558. What is the remainder when 184 is divided by s?
42
Suppose 2*d - 295 = -3*f + 16, 330 = 3*f + 21*d. Let b be (0 - 1)*(2 + -7). Suppose 0 = b*r - 145 - 35. What is the remainder when f is divided by r?
31
Suppose 6 = -3*j, -t + 5*t = 3*j + 26. Calculate the remainder when 147 is divided by t.
2
Let u = -32 + 37. Suppose -2*s + s + 10 = 4*p, p = u*s - 8. Suppose -3*o - 3*g + 33 = 0, -p*o + 22 = -0*g - g. What is the remainder when 16 is divided by o?
5
Suppose 3*o - 5*o + 939 = m, 2*m - 1884 = 2*o. What is the remainder when m is divided by 9?
5
Let k = 642 + -638. What is the remainder when (-5010)/45*(-6)/k is divided by 28?
27
Let c(q) = 2*q**3 - 110*q**2 - 114*q + 120. Calculate the remainder when 227 is divided by c(56).
3
Let w(m) = -2*m**3 + 62*m**2 - 4*m + 657. What is the remainder when w(31) is divided by 12?
5
Suppose -v + 6*v = -5*s + 100, 0 = 2*v - 5*s - 68. Suppose -21*z = -v*z + 15, -o - z = -892. Calculate the remainder when o is divided by 74.
73
Suppose 2924 - 1649 = 36*t - 5493. Let m = 167 - 118. What is the remainder when t is divided by m?
41
Let a(i) be the second derivative of 1/6*i**3 - 19*i - 7/2*i**2 + 0. What is the remainder when a(10) is divided by 2?
1
Let r be (10 - 0)/5*1. Suppose -r*x = x + 111. Let s = 53 + x. Calculate the remainder when s is divided by 4.
0
Suppose -8*y - 18 = 2*t - 7*y, 0 = 4*t + 3*y + 38. Let z(a) = -2*a**2 - 18*a - 6. Calculate the remainder when 43 is divided by z(t).
3
Suppose -55 = -3*s + 8. Calculate the remainder when 56 is divided by (-2)/((-4)/6)*203/s.
27
Let i = 5782 + -5717. Calculate the remainder when 179 is divided by i.
49
Let j(p) = 32*p**2 - 382*p + 10. What is the remainder when 3228 is divided by j(12)?
32
Let z be 5/5 + -5 + 9. Suppose z*h = -h + 66. Calculate the remainder when 15 is divided by h.
4
Calculate the remainder when -63*8/(-216)*579 is divided by 8.
7
Suppose -2*r + 9*h = 10*h - 743, 2*h = 10. Let x = 395 - r. What is the remainder when 39 is divided by x?
13
Suppose -12755 = -29*a + 991. Let x = -397 + a. Calculate the remainder when 307 is divided by x.
76
Suppose -2562 = -4*u + 5*w - 3*w, -5*u - 5*w = -3210. Suppose 2*q + 646 + u = 5*z, 0 = -5*z - 3*q + 1307. Calculate the remainder when z is divided by 20.
19
Let x(o) = o**3 - 35*o**2 - 75*o + 43. What is the remainder when 57 is divided by x(37)?
3
Suppose 2*k = m + 213, -33*m - 292 = -3*k - 37*m. What is the remainder when 2079 is divided by k?
103
Suppose 32*d - 20*d = -60. Suppose 23*o - 25*o = -100. What is the remainder when (11 - -4)/d - -99 is divided by o?
46
Suppose -o - 4*f - 15 = 0, -o - 2*f - 8 = -3. Suppose 3*q + 710 - 88 = 4*n, -2*q = -o*n + 781. Calculate the remainder when n is divided by 27.
22
Suppose -15*b + 230 = -5*b. Let n be (-4)/(-18) - ((-152)/(-36) + -4). Suppose 10*p - 2*p - 128 = n. What is the remainder when b is divided by p?
7
Suppose -2*a + 42 + 46 = 0. Let t(w) = 8 - 19 - 15 + 219*w - 209*w. Calculate the remainder when a is divided by t(5).
20
Let z(a) = a**3 - a**2 - 6*a - 6. Calculate the remainder when 4 - (8 + -9)/((-2)/(-222)) is divided by z(4).
7
Let t(l) = 3*l**2 + 2*l - 1. What is the remainder when (120/(-45))/(-4)*69 is divided by t(1)?
2
Let h be 16/(-12) - (-115)/3. Suppose h*f = 39*f - 112. Suppose 4*q - 104 = 2*m + 18, 58 = 2*q + 2*m. Calculate the remainder when f is divided by q.
26
Let p = 8153 + -8144. What is the remainder when 3566 is divided by p?
2
Let a(m) = -4*m**3 + 226*m**2 - 243*m + 60. Calculate the remainder when a(55) is divided by 440.
5
Let h(b) = 133*b + 726. Calculate the remainder when h(-5) is divided by 55.
6
What is the remainder when 1926 is divided by (-5)/(77 + -81 + 358/92)?
40
Let p(t) = 4485*t**2 - 136*t + 136. Calculate the remainder when p(1) is divided by 24.
21
Calculate the remainder when 5373 is divided by (-34790)/(-2100) + 1/(-6) + (-4)/10.
13
Let j(t) = -102*t + t**3 + 9*t**2 - 4 + 29*t + 7*t**2 + 43*t + 13. What is the remainder when j(-11) is divided by 86?
84
Suppose -5*k + 4*b - 17 = -8*k, 10 = 5*b