r when m(-19) is divided by 4.
1
Let l(t) = -5*t**2 + 233*t - 618. What is the remainder when 664 is divided by l(42)?
316
Let r(u) = 2*u**2 + 9*u + 16. Let t be r(-5). Suppose 0*h = h + 5*f - t, -4*h + 105 = -f. What is the remainder when h is divided by 28/2 - 2/(-2)?
11
Let k(m) = 9*m - 3. Let x be -5*(-1 - 11/(-5) - 2). What is the remainder when (-3)/(-12) + 2515/20 is divided by k(x)?
27
Let d = -1736 - -3141. What is the remainder when d is divided by 38?
37
Let u(q) = 1038*q + 61293. Suppose 2*n = 6*n - 400. Calculate the remainder when n is divided by u(-59).
49
Suppose -2*p - 2*g - 8 = -70, 0 = p - 5*g - 49. Calculate the remainder when 8325/75 + 75/(-5) is divided by p.
28
Let g(u) = 59*u**2 - 2*u - 2. Calculate the remainder when g(2) is divided by 10*2/10*29.
56
Let t(n) be the third derivative of 11*n**4/24 - 49*n**3/6 + 36*n**2. Calculate the remainder when t(16) is divided by 65.
62
Let p = 6035 - 5543. Calculate the remainder when p is divided by 137.
81
Let y = 1418 + -1361. What is the remainder when 163 is divided by y?
49
Let u = -593362 - -593446. Let y = 75 + -51. What is the remainder when u is divided by y?
12
Suppose z - 83*b - 69 = -84*b, 2*z - 2*b = 134. Let l = 56 - 33. Calculate the remainder when z is divided by l.
22
Let x = -124 + 119. Let f(l) = 5*l**2 + 4*l + 27. Calculate the remainder when f(x) is divided by 45.
42
Let u be (-6)/(-12)*-2*(-2)/(-1). Let c(t) = 4*t**2 - 3*t + 2. Calculate the remainder when 144 is divided by c(u).
0
Suppose 0 = 4*l - 2*k - 77 - 15, -k + 42 = 2*l. Suppose -5*a + x = -409, -4 = 34*x - 38*x. Calculate the remainder when a is divided by l.
16
Let h be 45/10*320/16. Let y = 147 - h. Calculate the remainder when 166 is divided by y.
52
Suppose 2*s - 326 = -2*y, -12*s + 5*y + 745 = -7*s. What is the remainder when 519 is divided by s?
51
Let z = 9377 + -9370. Suppose 2*m + 4*b + 580 = 5*m, -4*b + 820 = 4*m. What is the remainder when m is divided by z?
4
Let f(v) = -2*v**3 - 3*v**2 + 22*v - 42. Calculate the remainder when f(-15) is divided by 92.
91
Suppose l = 5*s + 9, -3*l + 2 = -3*s - 1. Let n be (21/84)/(1/(-52)*l). Suppose 14*o - n*o - 33 = 0. What is the remainder when o is divided by 9?
6
Suppose 0*h - h + 58 = -2*i, -5*i - 109 = -2*h. What is the remainder when 1184 is divided by h?
32
Suppose 69*a - 48007 + 14863 - 73254 = 0. Calculate the remainder when a is divided by 43.
37
Let i(v) = 826*v**3 + 2*v**2 + 11*v - 11. What is the remainder when 842 is divided by i(1)?
14
Let h be (-162)/(-12)*(-32)/(-6). Suppose -3*w - 2*w - 120 = -3*k, 3*w - 2*k = -h. Let p = -13 - w. Calculate the remainder when 197 is divided by p.
10
Suppose -1683 + 4587 = 24*m. Let f = 176 - m. What is the remainder when f is divided by 23?
9
Suppose -2*m + 15 = -3. Suppose 819 = -m*b + 12*b. Suppose 4*h - b = -3*h. Calculate the remainder when h is divided by 21.
18
Let p = -25 + 45. Let j = p - 8. Let r(x) = -32*x - 1211. Calculate the remainder when r(-40) is divided by j.
9
Suppose -238 = -4*h + 242. What is the remainder when h is divided by (3/(-99))/((-8)/48) + 678/22?
27
Let w(k) = 46*k - 4227. What is the remainder when 1872 is divided by w(96)?
171
Let f(r) = -199*r - 2355. What is the remainder when 1670 is divided by f(-16)?
12
Let m be 9/(-27) - 10/(-3) - 1. Suppose 6*n + m*j - 81 = 3*n, 0 = -4*n + 4*j + 108. Calculate the remainder when n is divided by 14.
13
Let p(z) = -z**2 - 2*z + 6188. Let f = -31 - -68. Calculate the remainder when p(77) is divided by f.
31
Suppose -2*t = -4*p + 758, 3*t + 194 = 4*p - 563. Suppose -4*b - y + p = 0, -5*b - 3*y + 97 = -137. What is the remainder when b is divided by 25?
23
Let a = 415 + 1875. Suppose -a = -11*k + 1659. What is the remainder when k is divided by 72?
71
Let z = -6232 + 6326. What is the remainder when z is divided by 24?
22
Let f be (0 - -1) + (2951 - -9). Let p = 179 + -150. Calculate the remainder when 2/(-8) + f/36 is divided by p.
24
Suppose -4*d + 3 = z, -5*d = -7*z + 10*z - 16. What is the remainder when z is divided by 7?
0
Suppose -k + 125 = 4*j, -k - 237*j + 131 = -234*j. What is the remainder when k is divided by 40?
29
Suppose 104 = 6*k + 7*k. What is the remainder when 56 is divided by (-1 - (30 - 2))*(-9 + k)?
27
Let d(z) = z**3 - 3*z**2 - 7*z - 2. Let n = 933 + -606. Let r = n - 312. What is the remainder when r is divided by d(5)?
2
Suppose 33*t - 948 = -592 + 4066. What is the remainder when 531 is divided by t?
129
Let p = 1 - -1. Suppose z - p + 3 = 0. What is the remainder when (z/(-2))/(2 + (-147)/74) is divided by 19?
18
Let n(m) = m + 16. Let i(d) = 2*d. Let c be i(-4). Suppose 3*p - 7 - 2 = 0. Calculate the remainder when n(c) is divided by p.
2
Suppose -10 - 6 = -2*m. Let f = m - 5. Suppose -12*d = -f*d - 288. Calculate the remainder when d is divided by 9.
5
Suppose -3284 = 14*s - 3606. Calculate the remainder when 222 is divided by s.
15
Let w = -52252 + 78186. Calculate the remainder when w is divided by 37.
34
Calculate the remainder when (-1)/((-2)/1334 + (-13 - -13)) is divided by 27.
19
Let g = -324 - -542. Let i = g - 166. Calculate the remainder when i is divided by 19.
14
Let v(q) = 15*q**2 + 417*q - 303. Let s = -6 - -10. Let n(l) = 2*l**3 - 6*l**2 + l + 1. Calculate the remainder when v(-29) is divided by n(s).
34
Let i = 184 + 222. Let j = i + -403. Suppose 0 = -4*k + 16 + 40. Calculate the remainder when k is divided by j.
2
Suppose -96 = 3*h + 21*h. What is the remainder when 141 is divided by ((-54)/h)/(-9)*(-1 + -5)?
6
Suppose 12*j - 17*j + 710 = 0. What is the remainder when j is divided by 1 + (8 - (10 + -4)) + 13?
14
Suppose -42*t - 108*t = -2700. Calculate the remainder when 34 is divided by t.
16
Suppose 2533*w - 2581*w + 1008 = 0. Suppose -3*j + 0*j + 59 = f, 0 = -5*f - 5*j + 295. What is the remainder when f is divided by w?
17
Suppose 5*k - k = 60. Suppose 0 = -b + k. Suppose 3*q + 3*l - 29 = q, -5*l = -b. What is the remainder when 39 is divided by q?
9
Let x = 9179 + -8253. Calculate the remainder when x is divided by 258.
152
Suppose 642*u - 6500 = 622*u. Calculate the remainder when u is divided by 41.
38
Suppose 3*q + 3*w - 342 = 0, 139 = 2*q - q - 4*w. Let l(f) = 539*f - 4281. Calculate the remainder when q is divided by l(8).
26
Let h(y) = 2*y**2 + 11*y - 2. Let s be h(-5). Let q = s + 14. Let f(k) = -k**2 - 45*k + 169. Calculate the remainder when f(-48) is divided by q.
4
Let h(m) be the second derivative of 2*m**3/3 - 31*m**2 - 54*m. Calculate the remainder when 4 is divided by h(16).
0
Suppose -3*l = -7*l - 5*b + 463, -5*l = 2*b - 566. What is the remainder when l is divided by 101?
11
Let w(v) = -v**2 - 10*v - 22. Let z be w(-11). Let l = z + 29. What is the remainder when 49 is divided by 26/l*32/(-8)?
23
Suppose -172*u - 96*u = -4020. What is the remainder when 696 is divided by u?
6
Let x(f) = f**3 - 74*f**2 + 16*f + 1022. What is the remainder when x(74) is divided by 170?
166
Let s(d) = -23 - d**2 - 12*d + 16 + 11. Let t be s(-12). Suppose 5*x = -t*o + 363, -x + 6*x - 351 = 2*o. What is the remainder when x is divided by 36?
35
Let i = -4917 - -5758. What is the remainder when i is divided by 148?
101
Let c(w) = w**3 + w**2 + w + 5. Let q be c(0). Let p(m) = m**2 + m + 7. Calculate the remainder when (-55)/(-10)*(q - 17)/(-6) is divided by p(0).
4
Suppose 0 = 2*q + 4*o - 0*o - 14, 2*o + 2 = 2*q. Suppose -23 = -n - 3*r, -q*n + n - 5*r + 41 = 0. What is the remainder when 78 is divided by n?
6
What is the remainder when 566 is divided by 19 + -60 + 34 - 1*-39?
22
Let r(j) = -j**2 + 45*j + 279. Calculate the remainder when 99 is divided by r(50).
12
Let v be (-460)/(-120) - 3/(-18). Let p be 2 - 4 - (-73 - -1). Suppose -i = v*i - p. What is the remainder when 26 is divided by i?
12
Let a(h) = 142*h**3 - 3*h**2 + 2*h. What is the remainder when a(1) is divided by ((-27)/2)/(84/(-224))?
33
Suppose 0 = -5*c + 25, 7*y - 9*y + c - 41 = 0. Let f be (-6)/2 + (4 - 5). What is the remainder when 188 is divided by 8/((-75)/y + f)?
44
Calculate the remainder when 2308 is divided by (-70)/3*(6/(216/(-558)) - -14).
33
Let h be 6 - 8 - (2 + -6). Suppose h*w = -5*f + 129, w = -f + 3*f - 48. What is the remainder when f is divided by 16?
9
Let n(h) = 3*h**2 - 6*h - 13. Let z be n(-4). 