v(-29). Let l = p + -299. Calculate the remainder when l is divided by 29.
5
Let w(u) be the third derivative of -u**5/60 + 3*u**4/4 + 7*u**3/6 - 126*u**2. What is the remainder when w(17) is divided by (-36)/10*15/(-6)?
6
Let p = -84 - -73. Calculate the remainder when (218/8)/((-14)/2464*p) is divided by 22.
18
Let f = -385 + 576. What is the remainder when f is divided by 14?
9
Suppose 3 = 14*w + 171. Let u(m) = -5*m**2 - 80*m - 15. What is the remainder when u(w) is divided by 19?
16
Let r = -3827 - -3840. Let f = 171 - 68. Calculate the remainder when f is divided by r.
12
Let a be (-16)/12 + 1 + (-96)/9. Let v(w) = 3*w + 35. Let z be v(a). Suppose 0 = s + z*s - 6. Calculate the remainder when 6 is divided by s.
0
Suppose 0 = 3*c + 6, -c + 192 = 2*m - 6*c. Calculate the remainder when 4/7 + (10959/m - -11) is divided by 35.
27
Let r(j) = j**3 - 4*j**2 + 8*j + 3. Calculate the remainder when r(6) is divided by 316/10 - (-5)/((-25)/(-2)).
27
Let g = -416 - -2106. Suppose -17*l - 449 = -g. Calculate the remainder when 161 is divided by l.
15
Let o(s) = -s**3 + 13*s**2 - 22*s - 12. Let b be o(11). Calculate the remainder when 355/3 + 4/b is divided by 24.
22
Suppose 6 - 61 = -3*s - 4*i, 0 = 4*s - 3*i - 90. What is the remainder when 5646 is divided by s?
18
Suppose 2*o = 6*o - 20. Let x = -18412 + 18486. What is the remainder when x is divided by o?
4
Suppose 3398 - 578 = 15*a. Suppose 10*b = a - 88. Suppose -3*c = 95 - 236. What is the remainder when c is divided by b?
7
Let z(m) = 2*m**2 + 18*m + 7. Let q be z(-8). Let n be -2*q/6 + 45. Let r = n + -33. What is the remainder when 59 is divided by r?
14
Let b = 57 + -16. Calculate the remainder when (((-24)/15)/(-2))/((-2)/(-195)) is divided by b.
37
Suppose -21*g = -25*g + 16. Suppose 5*j + 982 = 5*n + 3177, -g*n - 2196 = -5*j. Calculate the remainder when j is divided by 111.
107
Suppose 3*h - 159 = 5*r, -4*h + 106 = -2*h + 5*r. What is the remainder when h is divided by 27?
26
Suppose -5*s + 16 = -9, 4*n - 1644 = 4*s. What is the remainder when n is divided by 109?
89
Let w(v) be the second derivative of -v**5/20 + 5*v**4/2 - 29*v**3/3 + 67*v**2/2 - 269*v. Calculate the remainder when 164 is divided by w(28).
10
What is the remainder when -5 - (((-14)/21)/(2/3) + -865) is divided by 243?
132
Let g = -169 - -88. Let m be 2 - 3 - 58/(-1). Let l = m - g. What is the remainder when l is divided by 35?
33
Let p(n) = -n**3 + 8*n**2 + 109*n - 145. Calculate the remainder when p(14) is divided by 70.
65
Let f be ((-2)/(-3))/(6000/(-3006) + 2). Suppose -4*b - 151 = -3*o, -4*b + f = 30*o - 27*o. Calculate the remainder when 317 is divided by o.
52
Suppose 0 = 16*n + 1374 + 4162. Let w = n - -401. What is the remainder when 268 is divided by w?
48
Let p = 19 - 67. Let i = p + 33. Calculate the remainder when 59 is divided by ((-65)/i + -4)*63.
17
Suppose 51*n - 105*n = -65*n + 1661. Suppose 0 = -0*t - 3*t + 66. What is the remainder when n is divided by t?
19
Suppose -2*n = -4*z + 2*z + 568, 0 = -3*z - 3*n + 858. Suppose z = -2*k + 101. Let r = k - -214. Calculate the remainder when r is divided by 25.
22
Suppose -40*y - y + 693 = -8*y. Let n be (-1 + 1/1)*1. Suppose -3*c + n = -24. What is the remainder when y is divided by c?
5
Suppose -a + h + 412 = 0, 4*h + 423 = 2*a - 387. What is the remainder when a is divided by 194?
31
Let a = 4664 - 4189. What is the remainder when a is divided by 48?
43
Suppose 5*u = 10*u - 95. Suppose -b + 257 = -56 - 28. Calculate the remainder when b is divided by u.
18
Let p be 5/(-5) + 3/3 - 8. Let v be (((-300)/16)/(-3))/((-1)/p). Let o = v + -38. Calculate the remainder when 20 is divided by o.
8
Let w be (4/(-3) - -2)*-6. Let p = 44 + w. What is the remainder when (-2382)/(-15) - (-3)/15 is divided by p?
39
Calculate the remainder when 3378 is divided by (-412)/(-16) - (-44)/176.
24
What is the remainder when 497 is divided by 149 - (1 - 0) - (4/4 + -9)?
29
Suppose 4*o - 4*i - 6092 = 0, o - 5*i - 3058 = -o. What is the remainder when o is divided by 152?
151
Suppose 4*q - 40*n - 120 = -36*n, -3*q + 92 = -n. What is the remainder when q is divided by 4?
3
Let p = 11621 + -11490. Calculate the remainder when 315 is divided by p.
53
Let o = -1342 + 22125. What is the remainder when o is divided by 12?
11
Let y(c) = c**3 - 15*c**2 - 9*c - 12. Let m be y(15). Let u = -67 - m. What is the remainder when u is divided by (63 - 0)*(4/3 + -1)?
17
Let h = 39 + -32. Suppose 2*q + 213 = -5*n + 235, -n - 28 = -5*q. Calculate the remainder when h is divided by n.
1
Calculate the remainder when 293 is divided by (-9)/(-1 + 33*(-2)/(-84)).
41
Let x be 3/(2 + (-477)/225). What is the remainder when 196 is divided by (-1655)/x - (2 - (-36)/(-20))?
64
Suppose 10*z - 2*z - 40 = 0. Suppose z*j = 3*s - 11, -s + 0*s + 3*j = 3. Calculate the remainder when 45 is divided by s.
9
Suppose 303*c = 318*c - 930. Calculate the remainder when 169 is divided by c.
45
Let c(y) = -12*y + 124. Let d be c(-22). Let q = -307 + d. What is the remainder when q is divided by 21?
18
Suppose 89*w + 144*w - 59*w = 9396. What is the remainder when 1667 is divided by w?
47
Suppose -3*m - d = -209, -116 + 1035 = 13*m + d. Calculate the remainder when 771 is divided by m.
61
Let p(m) = m**3 - 5*m**2 - 7*m + 17. Let d be p(7). Let z = d + -66. Suppose 9*j + 2*j - 2233 = z. What is the remainder when j is divided by 17?
16
Let v(s) = s**2 + 7*s + 92. Suppose -425 + 517 = -4*f. Calculate the remainder when v(f) is divided by 66.
64
Calculate the remainder when 0/2 - 1*-278 is divided by 41 + (100/750 - (736/(-30))/(-4)).
33
Let m(a) = 60*a**2 - 53*a - 18. What is the remainder when m(-3) is divided by 198?
87
Let o(c) = -c**3 - 7*c**2 - 46*c - 207. What is the remainder when o(-7) is divided by 39?
37
Suppose -5*x = -3*w - 128, -4*w = -0*w + 4. Let p = x + -5. Suppose 2*o - p = -3*o. What is the remainder when 23 is divided by o?
3
Let n(w) = w**3 - 49*w**2 + 138*w + 107. Calculate the remainder when 211 is divided by n(46).
104
Suppose -2805 = -7*u + 1150. Suppose 0 = 3*c - 2*q - 185, q = -4*c + 387 - 133. Calculate the remainder when u is divided by c.
61
Let t = 34 + -23. Let h = 551 + -268. Suppose 6*w - h = -247. Calculate the remainder when t is divided by w.
5
Let q(k) = -k**2 + 9*k + 40. Let b be q(12). What is the remainder when 13 is divided by (-23)/(-3) - b/(-42)*-7?
6
Suppose 349*n - 440 = 171*n + 170*n. What is the remainder when 1026 is divided by n?
36
Let g = 245 - 194. What is the remainder when 489 is divided by g?
30
Suppose -4*i - 5*b + 80 = 0, 5*i + 225*b = 222*b + 100. Let f be 11 - (0 - -1)*-1. Let k = i - f. Calculate the remainder when 28 is divided by k.
4
Suppose -3*x = -9*x + 18. Suppose -3*r = 9, 0 = -2*h - x*r + 5 + 184. Let v = 111 - h. Calculate the remainder when 24 is divided by v.
0
Suppose 10*q - 937 = -327. Suppose 18*a - 20825 + 20339 = 0. What is the remainder when q is divided by a?
7
Suppose -8*j + 9*j + 71*j = 780696. Calculate the remainder when j is divided by 22.
19
Let i(g) = -5*g**3 - 3*g**2 + 31*g + 69. Calculate the remainder when 279 is divided by i(-2).
34
Let y = 15 + 5. Let m(l) = 8*l**2 + 12*l + 39. Calculate the remainder when m(-3) is divided by y.
15
Let s(i) = -5*i - 78. Let v be s(-16). Suppose -2*d - v*u + 64 = -5*u, -16 = 4*u. What is the remainder when 121 is divided by d?
17
Suppose -9*r - 3*r = r. Suppose r = -26*i + 17*i + 3213. What is the remainder when i is divided by 36?
33
Calculate the remainder when 927 is divided by 14*((-1)/18)/((-235)/2115).
3
Suppose 3*f - 439 + 418 = 3*y, -f = 2*y - 7. Let k = -6 - -8. Suppose -2*w + 20 = -k. Calculate the remainder when w is divided by f.
4
Let f = -218 + 245. Suppose -845 = -3*d + 4*i, f - 22 = 5*i. Calculate the remainder when d is divided by 32.
27
Suppose 2*x + 1570 = 6*x - 3*a, -2*x - 2*a = -778. Let j = 726 - x. Calculate the remainder when j is divided by 21.
20
Suppose -710*c - 22516 = -1148576. What is the remainder when 4773 is divided by c?
15
Suppose 0 = 4*y - 2*y - 96. Let f = -299 + 440. Let b = f - 132. What is the remainder when y is divided by b?
3
What is the remainder when 68 is divided by (-940)/423*(-135)/10?
8
Let k(u) be the third derivative of u**6/20 - u**5/30 - u**4/24 + u*