7.
16
Suppose 2*h - 10 = n, 5*h - 16 = n - 3*n. Suppose 16*g + 50 + 78 = 0. Let l = 1 - g. What is the remainder when l is divided by h?
1
Let i(v) be the second derivative of -v**5/20 - v**4/4 - v**3/3 - 3*v**2/2 + v. Let d be i(-2). Let j = 8 + d. What is the remainder when 14 is divided by j?
4
Let n = -74 - -62. Suppose -3*u - 69 = -0*u. Let f = n - u. What is the remainder when 20 is divided by f?
9
Suppose 5*z - 25 = -0. Suppose 4*k = -8, t - 131 = -2*t - z*k. Calculate the remainder when t is divided by 329/21 + (-2)/(-6).
15
Suppose -5*z = -117 + 52. What is the remainder when 49 is divided by z?
10
Let b be (-18)/(-5) - (3 + 85/(-25)). Suppose -b*h = 2*h - 36. Calculate the remainder when 22 is divided by h.
4
Suppose 4*j - 45 = -0*j - 3*r, -4*r + 21 = j. Let s(w) = 116*w + 2105. Calculate the remainder when s(-18) is divided by j.
8
What is the remainder when 1/(-5) - 788*27/(-180) is divided by 20?
18
Let d be 2/4*(0 + 12). Suppose 4 = 4*u - d*u. Let x(r) = -16*r - 2. What is the remainder when x(u) is divided by 11?
8
Suppose -4*n = n + 90. Let v = 61 + n. Suppose -7 = -r + 8. Calculate the remainder when v is divided by r.
13
Suppose -3*g + g + 6 = 0. Suppose 0 = -0*o - g*o. Suppose 2*q + 4*h + o = -16, 4*q + 4*h + 12 = 0. What is the remainder when 4 is divided by q?
0
Let w(b) = -7*b**2 - 3*b. Let x be w(-3). Let d = x - -101. Suppose 25 - 1 = 2*r. What is the remainder when d is divided by r?
11
Let w = -19 - -43. Let c = w - -23. What is the remainder when c is divided by 8?
7
Let p be 88/2 - (-1 - 1). Suppose 5*d = p + 94. Calculate the remainder when d is divided by (3 - -4)*140/98.
8
Let r(t) = 8*t**2 - 15*t - 2. Calculate the remainder when r(-6) is divided by 54.
52
Let j = -33 - -157. Calculate the remainder when j is divided by 53.
18
Let a(b) = -b**2 - 14*b - 38. What is the remainder when 69 is divided by a(-6)?
9
Suppose 2*i - 192 = -4*i. Let v = -21 + i. Calculate the remainder when v is divided by 2.
1
Let p be -6 + 3 + -1 + 8. Calculate the remainder when ((-5)/p)/(11/(-660)) is divided by 38.
37
Suppose 12 = -b + 4*b. Suppose 111 = b*z + 3*i, 4*z = -5*i + 160 - 55. What is the remainder when (-2)/4 + 2055/z is divided by 14?
12
Let x(b) = -4*b - 22. Let f be x(-6). Let t(a) = -a**2 + 3 + 5*a**2 + 8*a**2 - 6*a - 11*a**f. What is the remainder when 16 is divided by t(6)?
1
Suppose 4*k + 3*c - 648 = 121, 0 = 3*c + 3. Let l(j) = -12*j + 2. What is the remainder when k is divided by l(-4)?
43
Let x be (-2)/(3 - 1) - -210. Let s = x + -148. Calculate the remainder when s is divided by 16.
13
Suppose -o + 6 = q, -2*q + 3*o - o + 32 = 0. Let x(y) = 6*y - 19. Calculate the remainder when x(q) is divided by 7.
5
Suppose -2*w - 3*w = -4*b - 12, -b = 5*w - 22. Suppose 125 = 7*o - b*o. Calculate the remainder when 97 is divided by o.
22
Let m(l) = -4*l + 2. Suppose 0 = -4*w + 16, 3*w = -3*r - 2*w - 49. Let t = 21 + r. What is the remainder when 16 is divided by m(t)?
6
Suppose 3*l - 3*n = -0 + 6, -2*n - 14 = -4*l. Calculate the remainder when 342 is divided by l.
2
Suppose s + 90 = 3*z + 18, -3*s + 4*z = 206. Let g = s - -90. What is the remainder when g is divided by 9?
6
Let o(w) = 229*w**2 - 1. Let s be o(1). Let l = -118 + s. Calculate the remainder when l is divided by 28.
26
Let v(s) = -5*s**3 - 20*s**2 + 5*s + 20. Calculate the remainder when v(-5) is divided by 43.
34
Calculate the remainder when (46 + -44)*(2 + 97/2) is divided by 26.
23
Suppose -2*q + 0*q + 70 = 0. Let a be 0 - -2*1/(-2). Let k = 13 + a. Calculate the remainder when q is divided by k.
11
Calculate the remainder when (-5 - (1 - 3))*(-3535)/105 is divided by 17.
16
Let j = -62 - -63. Let p = 14 - 12. Suppose i + 4 = 0, i = -p*s + 2*i + 6. What is the remainder when j is divided by s?
0
Let l(h) = 45*h + 168. What is the remainder when l(6) is divided by 8?
6
Suppose 0 = j + 3*j. Suppose j = 3*h - 20 + 86. Let c = 5 - h. Calculate the remainder when c is divided by 10.
7
Suppose 29*m = -407 + 4438. What is the remainder when m is divided by 5?
4
Let p(o) = o**3 + 9*o**2 + 4*o + 6. Suppose 94*c = 111*c - 680. What is the remainder when p(-7) is divided by c?
36
Let s = -36 - -40. Suppose -s = -2*m + 6. What is the remainder when m is divided by 3?
2
Let w(u) = -u**3 + 7*u**2 + 7*u + 1. Let j be w(8). Suppose 53 = -3*b - 31. What is the remainder when 62 is divided by j/(b/8) + 14?
14
What is the remainder when 65 is divided by 2/22*2 + 744/22?
31
Let i = 172 - 311. Let t = i - -210. Suppose -5*l - 2*u - u + 123 = 0, 0 = -2*l - u + 49. What is the remainder when t is divided by l?
23
Calculate the remainder when 174 is divided by -50*(8/64)/(3/(-12)).
24
Calculate the remainder when (-3088)/(-64) + 2/(-8) is divided by 17.
14
Suppose -2*l = -5*m + 240, -5*m - 45*l + 235 = -46*l. What is the remainder when 60 is divided by m?
14
Let d(a) = -5*a + 1. Let p be d(2). Let i be (10/3)/(6/p). What is the remainder when -47*(-4)/((-20)/i) is divided by 17?
13
Suppose -8*a = 4*x - 3*a, 0 = 4*a + 16. What is the remainder when 18 is divided by 8 + (-3 - (3 - x))?
4
What is the remainder when 896/(-35)*5/(-2) is divided by 22?
20
Let l(z) = 156*z**2 - 5*z - 2. What is the remainder when l(-1) is divided by 9?
6
Let f be ((-6)/(-3))/(9/18). Suppose f*b - 222 - 27 = -5*k, -146 = -3*k + b. Let p = 8 + k. What is the remainder when p is divided by 20?
17
Let n be 3/5 + (-328)/(-20). Suppose 2*i = l - 61, 3*i + 26 + 203 = 4*l. Suppose n*s - l = 12*s. Calculate the remainder when 43 is divided by s.
10
Suppose -3*g + 3 = 0, 3*r - 4*g + 0*g - 905 = 0. Calculate the remainder when r is divided by 22.
17
Let j be 0/(-4 - -1) - -50. Suppose -j = -7*c + 27. Let h(l) = -l**3 + 10*l**2 + 14*l - 16. What is the remainder when 83 is divided by h(c)?
15
Suppose -5*o = -2*o + 15, 4*o = 4*y - 120. Let h = 215 - 172. Calculate the remainder when h is divided by y.
18
Let s = -189 + 127. Let z(v) = -12*v**3 - 2*v**2 + v + 2. Let q be z(-2). Let g = q + s. Calculate the remainder when g is divided by 7.
5
Let d = 4 - -7. Let t(s) = s**3 + 10*s**2 + 7*s. Let q be t(-8). Let a = -40 + q. Calculate the remainder when a is divided by d.
10
Calculate the remainder when 201 is divided by 46/((-50)/(-525) + 4/7).
63
Let m(b) = -14*b - 8. Let f(u) = -15*u - 7. Let p(a) = 5*f(a) - 4*m(a). What is the remainder when 137 is divided by p(-2)?
32
Suppose 0 = -2*f + 437 - 367. What is the remainder when 524 is divided by f?
34
Suppose 13 = 5*c - 3*v - 39, 2*v + 48 = 5*c. Let j be (c - 2)*(-1)/2. What is the remainder when 2 is divided by j/(-6) - 9/(-6)?
0
Let v(w) = 9*w + 77. What is the remainder when v(1) is divided by 39?
8
Let t = 537 - 497. Calculate the remainder when 108 is divided by t.
28
Let u(s) = -s**3 - 7*s**2 - 5*s + 8. Let y be u(-6). Let z be (-8)/(-6) + (5 - (-60)/(-18)). Suppose 15 + z = y*d. What is the remainder when d is divided by 3?
0
Suppose -5*x - 2*o = -176, -5*o - 17 - 2 = -x. Suppose s = 5*d, 5*s - x = d + 38. Calculate the remainder when 58 is divided by s.
13
Let y(u) = u**3 + u - 1. What is the remainder when 12 is divided by y(2)?
3
Let c = 2872 - 1775. What is the remainder when c is divided by 44?
41
Let l(v) = 17*v**2 - 74*v + 3. What is the remainder when 217 is divided by l(5)?
43
Let z(u) = 4*u**3 + 1. Let t(h) = -2*h - 20. Let o be t(-14). Suppose -o = -2*f - 3*g, -g = 4*f - 6*g - 38. What is the remainder when f is divided by z(1)?
2
Let y = 23 + -102. Let r = -25 - y. What is the remainder when r is divided by 11?
10
Suppose -2*y - 38 = -42. Suppose 0 = 2*u - 5 - 3. Let c = u + y. What is the remainder when 21 is divided by c?
3
Let h(a) = -2*a**3 + 5*a**2 + 3*a - 5. Let n be h(-3). What is the remainder when (3 - 5)/(-2)*n is divided by 33?
19
Suppose -5*x = 5*n - 2*n + 8, -4*n - 32 = -4*x. Suppose 0 = f - 4, -2*f - 3*f + 26 = w. What is the remainder when (n/4)/((-2)/12) is divided by w?
3
Suppose -12*f = -13*f + 4. Suppose 0 = -10*p + f + 6. Let j = 1 + 0. What is the remainder when p is divided by j?
0
Suppose -10*x + 15*x + 4*b - 135 = 0, 5*x + 2*b - 135 = 0. Calculate the remainder when 37 is divided by x.
10
Let j = -76 - -79. What is the remainder when 186/j - (-4 + 8) is divided by 15?
13
Let c(l) = -l - 13. Let o be c(9). Let j be o + (1 - (0 