remainder when t is divided by a?
6
Let t(p) = 2*p**2 - p + 11. Let g be t(3). Suppose 0 = s - 2*k - 18, 5*s + k = 127 - g. What is the remainder when ((-6)/(-9))/(1/84) is divided by s?
16
Suppose 2*q + 0*j - 8 = 2*j, -q - 5*j = 2. Suppose q*l = -l + 96. What is the remainder when 64 is divided by l?
16
Suppose 13*t + 15 = 10*t. What is the remainder when 119 is divided by t/((-20)/158) + 2/4?
39
Calculate the remainder when (-2)/((-18)/3189) + (-46)/(-69) is divided by 45.
40
Let k(x) = -3*x**3 - x**2 + 3*x - 2. Let c be k(1). Let j = c + 7. Suppose 0 = j*p - 16, 3*p - 60 = -4*o - 0*p. Calculate the remainder when 20 is divided by o.
8
Let z = 2840 - 2585. What is the remainder when z is divided by 123?
9
Suppose -4*l = 8, -l + 81 = m + 3. Suppose -2*j + m = -0*j. Let t = 11347 - 11332. Calculate the remainder when j is divided by t.
10
Suppose -2*l = -2, -6*v + 3*l + 115 = -5*v. Let g(c) be the first derivative of -2*c**2 - 18*c + 10. What is the remainder when v is divided by g(-12)?
28
Let d(i) = 50*i**2 + i - 2. Let x be (0 - (3 - 5)) + 1. Let b(n) = -n**3 + 11*n - 5. Let v be b(x). What is the remainder when d(v) is divided by 25?
24
Let y = 9 - -11. Suppose -2*q + 196 = -374*o + 373*o, -3*o = 12. Calculate the remainder when q is divided by y.
16
Let q = 10 + 34. Let k = -148 + 263. Suppose 44*i - k = 39*i. Calculate the remainder when q is divided by i.
21
Let m = -108 + 121. Suppose -573*j + 7392 = -541*j. Calculate the remainder when j is divided by m.
10
Suppose -4*r + 2636 = -1608. Suppose 3*k - 923 = s + 114, -3*k + r = 5*s. Calculate the remainder when k is divided by 14.
11
Let l(u) = -u**2 + 14*u + 4. Let m be l(14). Suppose 0 = 5*s + m*a - 28, 6*a + 52 = 5*s + 2*a. Calculate the remainder when 15 is divided by (4 - 6) + s + 0.
3
Suppose -119 = -34*z + 27*z. Suppose 0 = z*w - 19 - 950. What is the remainder when w is divided by 11?
2
Suppose 0 = -4*u + b + 3482, -5*u = -9*u - 2*b + 3488. What is the remainder when u is divided by 23?
20
Let a = 504 + -474. Suppose -n - 3*y = -8, a*n = 29*n - 5*y + 4. Calculate the remainder when 61 is divided by n.
5
Suppose -3*b + 23 - 5 = 0. Suppose -3*p - 3*a + 18 = 0, a = 2*p + b*a. What is the remainder when (-20)/(-7)*(-35)/(-10) is divided by p?
0
Suppose 66 - 10 = 2*l. Suppose -3371*i + 3335*i = -324. Calculate the remainder when l is divided by i.
1
Let t(x) be the second derivative of x**4/6 - x**3 - 7*x**2/2 + 4*x. What is the remainder when t(5) is divided by (-2)/((-12)/43) - (-92)/(-552)?
6
Let p be 20*285/(-20)*6/9. Let n = -166 - p. What is the remainder when n is divided by 14?
10
Calculate the remainder when 9/(108/19464) - -13 is divided by 164.
159
Suppose 3*v + 4*u = 3, v = 4*v + 3*u - 3. What is the remainder when v*30/(-9)*(-1488)/32 is divided by 13?
12
Let s be 486/10 - 9/15. Suppose -19*w - 986 = -s*w. What is the remainder when w is divided by 14?
6
Let x(w) = 9*w**2 - 6*w + 5. Suppose -c = -3*q + 14, 3*c + q + 4*q - 28 = 0. Calculate the remainder when 223 is divided by x(c).
7
Let w = 2324 + -2261. Calculate the remainder when 315 is divided by w.
0
Let v(f) = 59*f**2 - 9*f + 5. Calculate the remainder when v(2) is divided by 76.
71
Let t(c) be the third derivative of 19*c**5/30 + 5*c**4/24 + c**3/6 + 71*c**2. What is the remainder when t(1) is divided by 22?
0
Suppose 3*x + 5 = 5*x - d, -d = -3*x + 9. Suppose -q + 5*t + 94 = 0, x*q + 2*t - 21 - 355 = 0. Calculate the remainder when q is divided by 25.
19
Let v(l) = 5*l**2 - 8*l + 14. Let q be v(2). Let b(o) = 3*o**2 - 43*o + 5. Calculate the remainder when b(q) is divided by 52.
47
Suppose 0 = 9*m - 565 - 335. Let d = -98 + 132. What is the remainder when m is divided by d?
32
Suppose -13*f + 17*f + j - 1310 = 0, 0 = 6*f + 3*j - 1962. What is the remainder when f is divided by 184?
144
Suppose 7*b - 8*b - 21 = i, i - 67 = 3*b. Calculate the remainder when 28*(4 - b/(-7)) is divided by 10.
4
Let w(r) = -r**2 - 4*r + 4. Let g be w(-3). Let q(f) = -2 - 23*f**2 + g*f + 5 + 16*f**2 + 9*f**2. What is the remainder when q(-8) is divided by 19?
18
Let r(y) = 149*y**2 - 246*y - 28. What is the remainder when r(3) is divided by 97?
90
Let b = 43 + -47. Let z be ((-2)/b)/(4/88). Suppose 0 = z*q - 9*q - 164. Calculate the remainder when q is divided by 21.
19
Let c be (-48)/26 - ((-134)/(-26) - 5). Let b = -33 + 30. Calculate the remainder when ((-681)/(-9) - 3)/(c/b) is divided by 22.
21
Suppose 3*u - 2*u = 2*k + 95, 2*k + 100 = -4*u. Let n = 63 + k. Let y = n - -2. Calculate the remainder when y is divided by 11.
6
Suppose -18*f - 57*f = 43*f - 236590. Calculate the remainder when f is divided by 145.
120
Let s be (-864)/20 + (-2)/(-10). Let w(x) = x**2 + 28*x + 23. Calculate the remainder when (s/4)/(1/(-8)) is divided by w(-28).
17
Suppose -19*i + 1642 = -885. Let l = -77 + i. Calculate the remainder when l is divided by 16.
8
Let y(i) = 194*i + 3111. What is the remainder when 2638 is divided by y(-16)?
6
Suppose -b + 7*o + 2 = 0, 0 = -0*b + 2*b + 5*o - 156. Let z = 27 - 12. What is the remainder when b is divided by z?
13
Calculate the remainder when 73/((-803)/330)*-1 is divided by 3.
0
Suppose -4*d = -3*g - 124 + 417, 4*d = 4*g - 296. Let m = d - -95. Let c = -51 - -70. Calculate the remainder when m is divided by c.
5
Suppose 619*t - 993 = 228*t + 1427 + 1881. Suppose -39 = -d + 24. Calculate the remainder when d is divided by t.
8
Let h(y) = -y**2 - 11*y - 28. Let o be h(-6). Suppose -5*q + 3*s = o*s - 125, 5*q - 4*s - 140 = 0. Calculate the remainder when q is divided by 10.
4
Suppose -4*j = 5*l + 10, -4*j - 23 = -4*l - j. Suppose -4*p - x + 335 = 2*x, -5*x + 185 = l*p. What is the remainder when p is divided by 18?
8
Suppose -13*u + 36617 = 16215 - 28855. Calculate the remainder when u is divided by 211.
202
Suppose 4 = -5*d + 19. Suppose -4*z - d*j = 282, 4*z - 5*j = -0*j - 298. Calculate the remainder when 35 is divided by ((-2)/(-9) + (-2720)/z)/2.
16
Suppose 4*z = z + 126. Let r = 6754 + -6548. Calculate the remainder when r is divided by z.
38
Let v(r) = 6*r**2 + 34*r - 72. Suppose -13*g = -16 - 10. Let a(u) = 2*u**3 - 7*u**2 - u - 1. What is the remainder when a(5) is divided by v(g)?
9
Suppose -3*m + 110 = 4*t, 4*m - 78*t + 75*t = 155. Calculate the remainder when 43243 is divided by m.
37
Let u(m) = m**3 + 10*m**2 - 5*m - 28. Let g(o) = 2*o - 40. Let y be g(15). Calculate the remainder when 41 is divided by u(y).
19
Let i = 36 + 4. What is the remainder when -2*(1/(-2))/((-12)/(-1788)) is divided by i?
29
Calculate the remainder when 1828/41130 + (-22316)/(-90) is divided by 2/(-4)*96/(-4).
8
Let a(t) = -t**3 - 10*t**2 - 31*t - 79. What is the remainder when 139 is divided by a(-8)?
16
Suppose -29163 = -383*f + 39011. Calculate the remainder when f is divided by 64.
50
Let s = -567 + 586. What is the remainder when 77 is divided by s?
1
Let v be (33/(-22))/((-1)/2). Suppose 5 + 9 = 2*z + 4*h, v*z + 3*h - 36 = 0. What is the remainder when 117 is divided by z?
15
Suppose -54*g + 2618 = -40*g. Let t = -286 + 313. What is the remainder when g is divided by t?
25
Calculate the remainder when 410 is divided by 0 + 42 + -2 - (47 + -52).
5
Suppose -4*n - 5*h + 261 = 0, 3*h + 2 = -7. Let k = n + -162. Let f = k + 155. What is the remainder when f is divided by 16?
14
Suppose -61*b + 9250 = 36*b - 23*b. What is the remainder when 742 is divided by b?
117
Let q(z) be the second derivative of z**5/20 + 7*z**4/12 + z**3 - z**2/2 - 21*z. Let p be q(-6). Calculate the remainder when (60/(-8))/(p/6) is divided by 17.
11
Calculate the remainder when ((-242)/10)/((-97)/485) is divided by 66.
55
Let c be 22/18 - 1 - (-5706)/(-162). Let g = c - -46. Calculate the remainder when g is divided by ((-24)/(-10))/(2/5).
5
Suppose 4*h + 4 - 16 = 0. Suppose 0 = 6*o - 444 + 324. Calculate the remainder when (5 - 2 - 3) + o is divided by h.
2
Let x(p) = 5*p - 28. Suppose -2*d - 4*y = -0*d - 22, 0 = -2*y + 6. Suppose 24 = 8*k - d*k. Calculate the remainder when 45 is divided by x(k).
9
Suppose -351*s + 350*s = -2*c - 49, 5*s + 5*c - 185 = 0. Let g(b) = -b**3 - 4*b**2 + 2*b. Calculate the remainder when s is divided by g(-5).
11
Let d(y) = -y**2 + 12*y + 91. What is the remainder when 544 is divided by d(10)?
100
Suppose 15*p = 3*m