emainder when p(v) is divided by 23?
22
Suppose 506 + 38 + 536 = 30*x. Calculate the remainder when 2978 is divided by x.
26
Let t = 338 + -371. Let x(p) = -p**3 - 35*p**2 - 68*p - 61. Calculate the remainder when 15 is divided by x(t).
0
What is the remainder when 666 is divided by 6/(-129) + (-27417)/(-559)?
29
Let p(f) = -f**3 + 7*f**2 - 8*f + 7. What is the remainder when 7/(-217)*-31 - 368/(-2) is divided by p(5)?
15
Let g(p) be the first derivative of -p**3/3 - 5*p**2/2 - p - 35. Let w be g(-4). Suppose -w = 4*u - 27. What is the remainder when 58 is divided by u?
4
Suppose 14*s = -26*s + 14*s + 1196. Calculate the remainder when 541 is divided by s.
35
Calculate the remainder when 233 is divided by (-399 - -397)*((-3)/(-9) + (-68)/6).
13
Let z(d) = d**3 + 7*d**2 + 2*d + 1. Let o be 0/1 + (1 - (4 - 9)). What is the remainder when z(-5) is divided by (-3)/o + (-62)/(-4)?
11
Calculate the remainder when -25*(141/705 - (-142)/(-10)) is divided by 2/4 - (-28)/8.
2
Let f = -134 + 137. Suppose h = -4*w + 182, -8*w = -f*w. What is the remainder when h is divided by 37?
34
Let a = 2652 - 2569. What is the remainder when 333 is divided by a?
1
Suppose -2*u = x - 3*x, 2*u = -5*x + 28. Let o be (u/8)/(2/236). Let s = o + -39. Calculate the remainder when 98 is divided by s.
18
Let p be 72 - (6 - 0)/2. Let r = 136 - p. Let s(x) = -14*x - 42. What is the remainder when r is divided by s(-4)?
11
Let l = -26799 + 26874. Let p(g) = -5*g**3 - 3*g**2 - 2*g - 3. What is the remainder when l is divided by p(-2)?
17
Suppose 50 - 125 = -37*q - 1. Let m(x) = 9*x**3 + x**2. What is the remainder when m(1) is divided by q?
0
What is the remainder when 538 is divided by (-364)/546 - (-676)/6?
90
Calculate the remainder when -86*(3 - (-3)/((-12)/28)) is divided by 46.
22
Suppose 725 = 15*y - 70. Let z = -34 + y. Let f(k) = k**3 - 7*k**2 + 10*k + 3. What is the remainder when f(7) is divided by z?
16
Let u = 55 - 76. Let f = u + 21. Suppose f*o = 5*o - 370. Calculate the remainder when o is divided by 15.
14
Suppose -6*u = -831 - 1155. Let o = u - 302. Let k(c) = c**2 + c + 172. What is the remainder when k(0) is divided by o?
27
Calculate the remainder when 399 is divided by 16/12*(0 - 6456/(-32)).
130
Let c = -8279 - -9368. Calculate the remainder when c is divided by 514.
61
Let b(z) = -z**2 - 13*z + 205. What is the remainder when 142 is divided by b(7)?
12
Suppose -155*g - 176 = -111*g. Let l be (2/4)/((-2)/20). What is the remainder when 47 is divided by 16/((l + 1)/g)?
15
Suppose 4*q - 5*y = 1212, 2*q - 305 = -y + 287. Let o = q + -213. Let l = -80 + o. What is the remainder when l is divided by 5?
0
Suppose 979 = -53*q + 58*q + 3*m, 0 = -3*q + m + 579. What is the remainder when q is divided by 73?
48
What is the remainder when 203 is divided by ((-1701)/(-486))/(7/34)?
16
Let z(q) = -28*q - 106. Let w be z(-9). Let v = w + -121. What is the remainder when 72 is divided by v?
22
Suppose -7*r + 312 = -r. Let a = r + -76. Calculate the remainder when 134 is divided by (-39)/a*10 - (-18)/24.
15
Suppose 52 + 78 = 3*o + 49. Calculate the remainder when 998 is divided by o.
26
Suppose -4*i = 2*w - 6, -6 = -2*w - 4*i + 8*i. Suppose -10*j + 11*j - 203 = -w*h, -2*h + 5*j = -107. What is the remainder when 180 is divided by h?
48
Let k(z) = -z. Let x(q) = 17*q + 5. Let r(l) = -5*k(l) - x(l). What is the remainder when r(-9) is divided by (-1536)/(-576) - 76/(-3)?
19
Let w(z) = -63*z**3 - 7*z**2 + 3*z + 2. What is the remainder when w(-3) is divided by 51?
50
Let o(b) = 3*b + 19. Let u(m) = -17*m - 96. Let r(d) = 11*o(d) + 2*u(d). What is the remainder when r(-13) is divided by 17?
13
Let z(u) = 17*u**2 + 6*u - 15. What is the remainder when z(4) is divided by 47?
46
Suppose -9*w + 22*w = 2457. Let x = w - 181. What is the remainder when x is divided by 4?
0
Suppose 2*p = 4*p - 10. Suppose 2*v = p*m + 206, -5*m = -4*v + 620 - 208. What is the remainder when v is divided by 6/15 - 63/(-5)?
12
Let a be 1 + 4*-1 + (-68)/(-2). Let c(r) = -62*r + 24 + a*r + 27*r. Calculate the remainder when 9 is divided by c(5).
1
Let n = 191 - -125. Suppose -2*j - 410 = -9*k + 4*k, 0 = -2*j - 10. Calculate the remainder when n is divided by k.
76
Let p(y) = -2*y**3 + 79*y**2 - 513*y + 18. What is the remainder when 914 is divided by p(31)?
10
Suppose -3*d = 16*z - 18*z + 69, 2*d - 220 = -5*z. Calculate the remainder when (55 + 2)*91/21 is divided by z.
37
Suppose 3*o - 5*o + 130 = 0. What is the remainder when (-1272)/(-477)*(-282)/(-4) is divided by o?
58
Suppose -4*i + 0*i = -12. Suppose 356 + 683 - 815 = 32*a. What is the remainder when a is divided by i?
1
Let o be -15*2/3*-5. Suppose 4*r = -5*u + 275, -25*u + 27*u + 2*r - 110 = 0. Calculate the remainder when u is divided by -2*(o/(-4) - 2).
26
Suppose 4*p + 35 + 29 = -4*m, -2*p = 0. Calculate the remainder when 3/((-12)/(-16)) - -75 is divided by (7/2)/((-2)/m).
23
Let r(w) = -311*w + 43682. Let y(v) = -4*v - 7. What is the remainder when r(140) is divided by y(-5)?
12
Suppose 4*x - 13 = 3. Let a = -243 - -250. Suppose -a*r - 14*r + 462 = 0. Calculate the remainder when r is divided by x.
2
Let k(w) = -w**3 + w - 1. Let o(j) = 9*j**3 + 10*j**2 + 13. Let z(n) = -6*k(n) - o(n). What is the remainder when 194 is divided by z(-4)?
47
Suppose -4*d - 4880 = -84*d. Calculate the remainder when d is divided by 21.
19
Let f = 11323 + 10031. Calculate the remainder when f is divided by 63.
60
Suppose -185 = -3*x + 37. What is the remainder when 2514/9 - (-6 + (-28)/6 + (-5 - -15)) is divided by x?
58
Suppose 252*i + 666 = 270*i. Suppose -18*w + 220 = i*w. Calculate the remainder when (-3)/(-1)*(-1 + 8) is divided by w.
1
Let s(f) = 82*f**3 - 9*f**2 + 25*f - 45. What is the remainder when s(3) is divided by 98?
7
Let u = -90 + 137. Suppose -6*r + 11*r + 3*t = 63, 0 = 2*r - 4*t - 20. What is the remainder when 1*u/(-4)*-4 is divided by r?
11
Suppose -2*k = 2*w + 5 - 25, -2*k - w + 21 = 0. Suppose -14*o + 12*o = -102. Calculate the remainder when o is divided by k.
7
Suppose 8*c + 5*p = 1964, -569*p + 492 = 2*c - 568*p. What is the remainder when 18099 is divided by c?
243
Let x(o) = -2*o**3 + 19*o**2 - 7*o - 2. What is the remainder when 841 is divided by x(9)?
9
Suppose -6*q - 4*r - 36 = -5*q, 3*q - r + 121 = 0. Let j be (36/(-30))/(0 - 2/q). Let b = 30 + j. Calculate the remainder when 21 is divided by b.
3
Let x(u) = -5*u + 37. Let y be x(7). Suppose -34 = -y*d + 4*z, -3*d - 5*z + 3 + 4 = 0. Calculate the remainder when 223 is divided by d.
7
What is the remainder when 2098 is divided by 143 - (17 + -29 - (-15)/3)?
148
Let z(f) = -f**2 + 14*f + 47. Let r be z(15). Let l(u) = -u**3 + 3*u**2 + 2*u - 1. Let b be l(-2). Let j = r - b. What is the remainder when j is divided by 9?
8
What is the remainder when (590148/135)/26 + 4/(-30) is divided by 54?
6
Suppose 2*k - 44 = -3*a, 2*k - 2*a - 28 = 3*a. Let v be 7*(2 + 29) + 3/(-3). Suppose -v = 45*s - 49*s. What is the remainder when s is divided by k?
16
Let u(c) = 23*c - 46. Let k be u(2). Suppose k = 21*y + 2*y - 2645. Calculate the remainder when y is divided by 31.
22
Let n = 740 + -684. Let p = 127 - n. Calculate the remainder when 562 is divided by p.
65
Let y(c) = -c**2 + 34*c - 260. Let u = 35 - 15. Calculate the remainder when u is divided by y(12).
0
Let q be (6/(-24)*0)/1. Suppose q = 13*n - 9*n - 48. What is the remainder when (-11)/(((-5)/3)/5) is divided by n?
9
Let g be ((-10719)/(-36))/((-6)/16). Let v = g - -497. Calculate the remainder when 64 is divided by ((-2)/3)/(((-12)/v)/(-2)).
31
Suppose 5*v - 8*v + 12 = 0. Suppose -v*c + 15 = -21. Let u(x) = x**3 - 4*x**2 - 10*x - 8. Calculate the remainder when c is divided by u(6).
1
Let j(d) = -10*d + 127. Let n be j(0). Suppose -36*y - n = -451. Calculate the remainder when 114 is divided by y.
6
Suppose 68 = 4*b - 300. Suppose 172 = 11*u - b. What is the remainder when 181 is divided by u?
13
Suppose 176 = i + 3*i. Suppose -3*o - 29 = 2*c - 64, -4*o + 5*c = -39. What is the remainder when 3/(0 + -3) + i is divided by o?
10
Let u(k) = -2*k**3 + 31*k**2 - 23*k + 174. What is the remainder when 256 is divided by u(15)?
40
Calculate the remainder when (1112/48 + 3)/((-8)/(-48)) is divided by 32.
29
Suppose -4*w + 133 = 3*l, 2*w + 0