t = 57 + i. Calculate the remainder when t is divided by 36.
27
Let s = 29 - -8. Let f = 8459 - 8436. Calculate the remainder when s is divided by f.
14
Suppose 0 = 4*w + 5*a + 22, 5*w - 6*w - 13 = 5*a. Calculate the remainder when ((-2)/2 - w) + -34 + 40 is divided by 3.
2
Let j(y) = -2*y**2 + 25*y - 71. Let t be j(5). Suppose 5*u - 632 = -t*z, 5*u + z - 602 - 21 = 0. What is the remainder when u is divided by 16?
12
What is the remainder when (24/(-15) + 0)/(956/(-227050)) is divided by (-2)/(-6) - (-586)/6?
86
Suppose -7*g - p = -89596, -2*g + 9*p + 25595 = 8*p. What is the remainder when g is divided by 173?
170
Let j be (11 - 21) + 8 + 35*1. Let l(u) = -4*u + 10. Let s be l(-7). Let y = s - j. Calculate the remainder when 9 is divided by y.
4
Let m be (-27)/6 + (-2)/(-4). Let l be (m - 17) + 0/(-1). Let c = l - -39. What is the remainder when 70 is divided by c?
16
Suppose 5*q - 109 = 101. Suppose -z - 11*z = -614 + 482. Calculate the remainder when q is divided by z.
9
Suppose 3 = 3*y, 3*d + 2 = -4*y + 9. Let u be 576/112 + d/(-7). Suppose n = -2*f + 12 - u, -3*n = -3*f + 24. What is the remainder when 5 is divided by f?
0
Let i(c) = c**2 + 55*c + 438. What is the remainder when i(-47) is divided by 29?
4
Suppose -4*j = -9*g + 5*g + 4708, 4*g - 4700 = -4*j. Suppose -20 = g*s - 1178*s. Calculate the remainder when 78 is divided by s.
8
Suppose -4*h + 3 = -9. Suppose 3*i - 1 + 4 = -4*g, -3*i = 3*g + h. Suppose -o + 70 = -g*o. Calculate the remainder when o is divided by 24.
22
Suppose 0 = -4*o - 12152 + 13216. Calculate the remainder when 274 is divided by o.
8
Suppose 0 = -3*d - s + 106, 0*d - s = 2*d - 70. Suppose 47*a + d = 48*a. Calculate the remainder when 106 is divided by a.
34
Let b(r) = 10*r + 9*r + 26 + 140. Calculate the remainder when b(0) is divided by 20.
6
Let a = -544 - -570. Let w = 76 - 46. Let h = w - a. What is the remainder when 4 is divided by h?
0
Suppose 0 = -5*a - 3*b + 5*b + 28, 4*b - 4 = 0. Suppose 2712*o = 2660*o + 416. Calculate the remainder when o is divided by a.
2
Let z = 786 - 430. What is the remainder when z is divided by (((-1)/(-5))/(2/(-10)))/(1/(-51))?
50
Suppose -12*u - 5*u = -7293. Suppose 24*n - u = 13*n. What is the remainder when n is divided by 21?
18
Suppose -232*j - 28 = -228*j, j = 2*b - 29. What is the remainder when 279 is divided by b?
4
Let z(v) be the second derivative of -5*v**3/3 - 148*v**2 + 2*v - 50. Calculate the remainder when z(-40) is divided by 18.
14
Let i(q) be the first derivative of -q**4/2 + 7*q**3/3 + 3*q**2 + 8. What is the remainder when 30 is divided by i(4)?
6
Let n = -46 - -53. Suppose n*w = -0*w - 2205. What is the remainder when 110 is divided by ((-1)/3)/(7/w) - 1?
12
Suppose 4*k - 564 = -3*t, -4*t + 3*k + 564 = -t. Suppose 42*w = -4*u + 41*w + 179, 4*u + 4*w - t = 0. What is the remainder when 124 is divided by u?
36
Suppose -8*o + 50 = -30. Suppose o = -28*u + 33*u. Suppose -7*p - 42 = -3*h - u*p, -2*h - p + 15 = 0. Calculate the remainder when 24 is divided by h.
6
What is the remainder when (-392)/616*4/(-14) - 32330/(-55) is divided by 117?
3
Let f(j) be the first derivative of -1 + j**2 + 0*j**2 - 2*j**2 + j + j. What is the remainder when f(-1) is divided by 3?
1
Let q = -11167 - -15064. Calculate the remainder when q is divided by 130.
127
Let h(n) = -n**2 + 8*n - 12. Let s be h(5). Suppose 3*d = 4*c - 2*c - 66, -42 = -2*c - s*d. Calculate the remainder when 80 is divided by c.
26
Calculate the remainder when (632/(-32) + 15)/(2/(-32)) is divided by (-4 + 0)*-2*2.
12
Suppose -9*m + 0*m + 738 = 0. What is the remainder when 257 is divided by m?
11
Let v(n) = 10*n - 1. Suppose 21974*u = 21965*u + 45. What is the remainder when v(1) is divided by u?
4
Suppose -7*g + 3*g - 20 = 0, 3*g = -4*j + 681. Suppose -169*k - 310 = -j*k. What is the remainder when k is divided by 23?
16
Suppose -5*p + 24 + 106 = 0. Suppose 0 = 6*x - 2031 - 993. Let l = 513 - x. Calculate the remainder when p is divided by l.
8
Let q = -6472 + 8806. Calculate the remainder when q is divided by 15.
9
Let j(u) = 2*u**3 - 3*u**2 + 4*u - 2. Let y = 12 - 10. Suppose -3*h = -3*s - 126, -4*h + 0*h - 2*s + 150 = 0. Calculate the remainder when h is divided by j(y).
9
Let c be 3660/(-360) + ((-2)/(-12) - 0). Let q(w) = 20*w + 204. Calculate the remainder when 37 is divided by q(c).
1
Let l(m) = m**2 + 22*m - 96. Let z be l(-24). Let v(i) = -i**3 - 48*i**2 - 6*i - 199. What is the remainder when v(z) is divided by 8?
1
Let u be (96/(-6) + -8)/(6/44). Let w = 224 + u. What is the remainder when w is divided by 3?
0
Let l(r) = r**3 - 8*r**2 + 35*r - 19. What is the remainder when l(10) is divided by 144?
99
Let d(r) = r**2 + 2*r - 5. Let p be d(-4). Suppose 3*u = -5*a - 16, -2*a - 4*u - p = a. What is the remainder when (-6398)/(-70) - (-2)/a is divided by 31?
29
Suppose u - 4*u + 3 = 0. Suppose -534*z + 522*z = -84. Calculate the remainder when z is divided by (3 + u - 5)*-3.
1
Suppose 3*a + 0 - 24 = 0. Let c be ((-3)/((-60)/(-464)))/(10/(-25)). What is the remainder when (-1 + -1)*(-2)/(8/c) is divided by a?
5
Let v(d) = -50*d**3 + 3*d**2 + 26*d + 51. What is the remainder when v(-2) is divided by 10?
1
Let v = -3273 - -3393. Calculate the remainder when 5275 is divided by v.
115
Let b = -60 + 67. Let r = -474 - -479. Calculate the remainder when b is divided by r.
2
Let f(n) = -n**3 + 7*n**2 - 6*n - 2. Let h be f(6). Let v be -1*(-10)/(-5)*h/(-4). Calculate the remainder when 36 is divided by 38/1*v*(-18)/36.
17
Let b(y) = 2*y**3 + 7*y**2 - 149*y - 9. Calculate the remainder when b(8) is divided by 26.
11
Let t(x) be the third derivative of 7*x**4/24 - x**3/2 - 16*x**2. Let p be t(1). Let o(c) = 21*c - 8. Calculate the remainder when o(p) is divided by 13.
11
Suppose -4*m + 13144 = 2*g, -6*m = -3*m - 7*g - 9807. Calculate the remainder when m is divided by 15.
13
Let l = 783 - 778. Suppose 0 = -l*h + 29*h - 27336. What is the remainder when h is divided by 76?
75
Let z(i) = -i**3 - 103*i**2 + 193*i - 1197. What is the remainder when z(-105) is divided by 16?
12
Calculate the remainder when 158/(-632) + 2381/8*2 is divided by 63.
28
Let g(t) = 14*t**3 + t**2 + 6*t + 19. Let f be g(-3). Let v = f - -705. What is the remainder when v is divided by 11?
7
Suppose -21*h = -762 + 6. Let x(g) = 3*g - 88. Suppose -2*r - r + 222 = 3*m, -3*r = -m - 214. What is the remainder when r is divided by x(h)?
12
Let p = -3773 + 5477. What is the remainder when p is divided by 19?
13
Let w(l) = -1123*l**3 - 6*l**2 - 9*l + 1. Calculate the remainder when w(-2) is divided by 10.
9
Suppose 11*n = 70 - 37. Suppose d + 3*d - 5*r = 5, -4*r = -n*d + 3. Calculate the remainder when 17 is divided by d.
2
Let h(q) = q**3 + 10*q**2 + 13*q - 17. Suppose -788 - 2026 = 14*g. What is the remainder when 7/((-7)/4) - (6 + g) is divided by h(-7)?
35
Suppose -3*k - h = -54, 3*h - 186 + 232 = 4*k. Calculate the remainder when 99 is divided by k.
3
Let o = -13953 + 14675. What is the remainder when o is divided by 247?
228
Let s(f) = -4*f - 78. Let b be s(-21). Calculate the remainder when ((2 - b) + 0)*9243/(-316) is divided by 10.
7
Let k be 145/(-58)*(4 + 72/(-15)). Let n = 0 + 5. Suppose z = n*z - k*m - 130, 3 = m. What is the remainder when 167 is divided by z?
31
Suppose 5*g - 448 = -s, -9*s + 12*s - 1325 = 4*g. Calculate the remainder when s is divided by 113.
104
Let x(p) = 2*p**2 + 10*p + 76. Suppose -c + 9 = 5. What is the remainder when x(-6) is divided by c?
0
Suppose 23*t + 10 + 243 = 0. Let i(c) = 2*c**2 + 13*c - 35. What is the remainder when i(t) is divided by 6?
4
Let f(x) = -259 + 187 + 33*x + 19*x - 113. What is the remainder when f(6) is divided by 33?
28
Let x be (-150)/35 + (-4)/(-14). Suppose -4*q - 20 = -2*t + 42, -3*t = -4*q - 93. What is the remainder when t is divided by 142/7 - x/(-14)?
11
Let z = 2161 - 2126. Calculate the remainder when 480 is divided by z.
25
Let h(y) = 2*y**2 + 468*y + 3192. Let k be ((-9)/(-6))/(3/4). Calculate the remainder when (75 + (-2 - -1))/k is divided by h(-7).
9
Suppose 6*l = 2*l + 20. Suppose q + 2*o = 25, l*q - 15 - 68 = 4*o. What is the remainder when q is divided by (-4)/30 - (7453/(-435) + 12)?
4
Let c be (66/15)/((-14)/770). Let x = -235 - c. Calculate the remainder wh