 remainder when (-16)/48 + 37/3 is divided by r.
4
Suppose 0 = 4*y - j + 55 - 1328, 3*j = -2*y + 619. Let a = y - 293. What is the remainder when 333 is divided by a?
21
Suppose 12*q + 12*q = -120. What is the remainder when 74 is divided by ((-175)/q)/(-5) - -27?
14
Suppose 0*z - 5*z = -90. Suppose -3*x = -4*x + 5*g + z, 2*x = -2*g. Suppose 3*v = -794 + 809. What is the remainder when v is divided by x?
2
Suppose -4*x = -9*x - 20, 2*x = 2*v - 16. Suppose v*l + 5*o - 4 = 1, 5*l + 2*o - 19 = 0. Calculate the remainder when 14 is divided by l.
4
Let x(c) = -3*c**3 - 26*c**2 + 11*c + 28. Let j be x(-9). Calculate the remainder when 196 is divided by (-1192)/(-60) - j/(-75).
16
Suppose -21312*p - 592 = -21320*p. What is the remainder when 3319 is divided by p?
63
Suppose 2*t + 90 = 6*h - 2*h, 4*t = 4. Let g(d) be the second derivative of d**4/12 - 5*d**3/6 + 7*d**2 + 17*d. What is the remainder when h is divided by g(0)?
9
Let k(s) = s**3 + 28*s**2 + 33*s + 104. Let z be k(-27). What is the remainder when (9/(-3) - z) + -8 + 3 is divided by (-1 - (1 + -2)) + 13?
11
Let h(b) be the third derivative of 3*b**4/8 + 46*b**3/3 - b**2 - 100. What is the remainder when h(5) is divided by 18?
11
Calculate the remainder when 1456 is divided by 339/(6 - 5 - -2).
100
Suppose -235*f + 1095 + 3135 = 0. What is the remainder when 4043 is divided by f?
11
Suppose 17*f - 4538 = 3010. What is the remainder when f is divided by 156?
132
Let x be (-281390)/20 - (-1)/6*-3. Calculate the remainder when x/(-240) + (-9)/(-24) is divided by 32.
27
What is the remainder when 760 is divided by (0 - 1 - 152)*(-5)/60*4?
46
Let c(m) = -m**2 + 34*m - 18. Let d = -85 - -118. Suppose -3*l + z = 2*l - 15, 15 = 5*l + 5*z. Calculate the remainder when c(d) is divided by l.
0
Let i(d) = -d**2 + 5*d + 200. What is the remainder when 272 is divided by i(16)?
8
Let i be 7 + (-6 - (4 - 8)). Suppose 4*j + i = 13. Suppose -22 = -j*r + 2. Calculate the remainder when 20 is divided by r.
8
Let p(y) = -y**2 + 24*y - 18. Let r be p(23). Let z(f) = 5*f**2 - 17*f - 8. Calculate the remainder when 55 is divided by z(r).
23
Let v = 3700 + -3621. Let c = -71 - -139. Calculate the remainder when v is divided by c.
11
Let v(g) = g**3 - 50*g**2 + 151*g - 456. Calculate the remainder when 1491 is divided by v(47).
7
Let x(m) = 223*m + 110. What is the remainder when x(2) is divided by 22?
6
Suppose s = 47*r - 43*r + 1805, 4*s = -2*r + 7310. Calculate the remainder when s is divided by 606.
7
Let w(h) = 6124*h**2 - 12143*h - 3. Suppose -5*z + 77 + 578 = 0. Suppose -37 = -4*d + z. Calculate the remainder when w(2) is divided by d.
39
Suppose -2*p = 2*a - 128, 91*a - 2*p = 94*a - 189. Calculate the remainder when 19395 is divided by a.
58
Let k be (-52)/20 + (-12)/30 - 214. Let h = -74 - k. Calculate the remainder when h is divided by 49.
45
Suppose -2*r = -13*i + 12*i - 237, 5*i = 2*r - 225. Suppose 2*h = n + 47, -5*h + 10*h - 5*n = r. Calculate the remainder when h is divided by 3.
2
Suppose -12*p + 17*p - 3*y - 9 = 0, 0 = -4*p - 4*y + 20. Calculate the remainder when (-237)/(-4)*28/21 is divided by 1*(-9)/p + 23.
19
Suppose -4*b = -8*b + 824. Let g = b - 112. Suppose -172*h = -150*h - 418. What is the remainder when g is divided by h?
18
Suppose -71*z = -90 - 5306. Let r(p) = 6*p + 14. Let j be r(6). Suppose -28 = -3*n + j. What is the remainder when z is divided by n?
24
Let w(l) = 16*l - 69. Let q(d) = d**3 - 11*d**2 + 10*d + 6. Let v be q(10). What is the remainder when 267 is divided by w(v)?
24
Let o = 403943 + -403905. Suppose 2*f = z + 371, 0 = -f + z + 219 - 31. Calculate the remainder when f is divided by o.
31
Let l(k) = k**3 + 19*k**2 - 20*k + 4. Let n be l(-20). Suppose 4*y = -t + 67, 1 = -n*t + 13. What is the remainder when y is divided by 4?
0
Suppose 0 = -4*q + 2 - 10. Suppose -5*p = -s - 90, p + 0*p - 18 = 3*s. What is the remainder when p is divided by (4 + -6 - 3)*q?
8
Suppose 3*y + 139*y - 66172 = 0. What is the remainder when y is divided by 456?
10
Suppose 2*b - 7*b - 5*c = -480, -3 = -3*c. Let i(l) = 6*l**2 + 2*l + 4. Let u be i(-2). What is the remainder when b is divided by (-5 - -2) + u + 4?
20
Suppose -3*u + 15 = 0, -3*h - 4*u + 43 = 8. Suppose 3*a - 821 = -h*o - 0*a, -3*o = 4*a - 486. What is the remainder when o is divided by 43?
37
Suppose 24 - 12 = -2*y. Calculate the remainder when (y/12*9)/((-3)/204) is divided by 31.
27
Let x(k) = 4*k**3 - 186*k**2 - 95*k + 144. What is the remainder when x(47) is divided by 13?
6
Let p(c) = -3*c - 17. Let v be p(-8). Let i(x) = 35 - 27 + 14 - 2*x + v. What is the remainder when 20 is divided by i(13)?
2
Suppose 2*n = 5*a + 77, 5*n = n + 5*a + 159. Let u = -288 + 572. What is the remainder when u is divided by n?
38
Suppose 6 = 3*l, -8*b = -4*b + 2*l - 12. Suppose 0 = -k + 3*c, 7*k - 4*k = b*c + 28. What is the remainder when 28 is divided by k?
4
Let s = -22 + 10. What is the remainder when (-8)/(-6)*(-13275)/(-236) is divided by 52/1*s/(-16)?
36
Let u(g) = 13 + 35*g**2 - 5*g**2 - g**3 - 18*g**2. What is the remainder when u(6) is divided by 58?
55
Suppose -5*r + r - o = -61, 5*o - 50 = -3*r. Suppose -4*f + 7 = r. Calculate the remainder when -1 + 32 + (5 - 3) + f is divided by 16.
15
Suppose 2*g - 3 - 5 = 0. Let x be 62 + 0*(-2)/g. Suppose 37 = 3*y - x. Calculate the remainder when y is divided by 9.
6
Let k be -3*((-8)/(-3) + -2). Let g(t) = 12*t**2 - 2*t - 2. Suppose 8*f - 170*f = 14*f - 2288. What is the remainder when g(k) is divided by f?
11
Let i be -4 + -2 - (245 + 0). Let o = i + 436. Calculate the remainder when o is divided by 17.
15
Let t(c) = c**3 + 7*c**2 - c + 1. What is the remainder when t(-3) is divided by 10/(-45) + 1135/45 + 1?
14
What is the remainder when (3561/18)/(-8*(-3)/144) is divided by 19?
9
Suppose 0 = 5*m - 55 + 485. Suppose 35*b - 32*b = 136 + 137. Let o = m + b. Calculate the remainder when 18 is divided by o.
3
Let s be (-7)/((-196)/(-2359))*-4. Suppose s - 757 = -3*t. Calculate the remainder when t is divided by 24.
20
Suppose 3*y + 3*d = 0, -4*d + 3 = -4*y - 13. What is the remainder when ((-75)/(-10) + -7)*(-256)/y is divided by 13?
12
Let i(h) = -h**3 + 15*h**2 - 44*h + 163. What is the remainder when 22577 is divided by i(5)?
189
Let j = -1982 - -2166. What is the remainder when 374 is divided by j?
6
Let k(y) = 3*y + 2. Let p be k(-6). Let j = p + 19. Suppose -j*i = -0*i - 2*w - 121, 2*w = -5*i + 223. What is the remainder when i is divided by 9?
7
Suppose -608 = 4179*k - 4195*k. Calculate the remainder when 2279 is divided by k.
37
Let a(b) = 1015*b + 15. Let y be a(1). Suppose 710 = 3*c - c + 4*l, -3*c + l = -y. What is the remainder when c is divided by 12?
9
Suppose -66 = -2*v - 3*i, 0 = -2*v + i - 2*i + 58. Suppose 2*x + 1944 = 5*d, -4*d - 3101*x + 1476 = -3107*x. What is the remainder when d is divided by v?
18
Suppose r - 30*h - 914 = -25*h, -h + 872 = r. What is the remainder when r is divided by 244?
147
Let z(j) be the second derivative of -21*j**5/20 + j**4/12 - 5*j**3/6 - 5*j**2/2 - 153*j. What is the remainder when 59 is divided by z(-1)?
15
Let q = -113 - -515. Let r = 17284 - 17269. What is the remainder when q is divided by r?
12
Suppose 13*f - 1387 - 732 = 0. Let n = -149 + f. Let g(p) = 4*p**2 - 3*p + 10. Calculate the remainder when g(5) is divided by n.
11
Let z(b) = b + b**3 + 96*b**2 + 4*b - 101*b**2. What is the remainder when 67 is divided by z(4)?
3
Let v = -211 - -215. Suppose v*l - 369 = -301. Calculate the remainder when 60 is divided by l.
9
Let c be -5 + (-780)/(-14) + 32/112. Suppose -10*p + 11*p - c = 0. What is the remainder when 67 is divided by p?
16
Suppose -10*b + 176 = b. Suppose -b*z + 4015 = -5*z. What is the remainder when z is divided by 23?
20
Suppose 21*i = 8*i + 3211. Let p = -219 + i. What is the remainder when p is divided by 6?
4
Suppose 0 = y + v - 14, 2*y + 4*v - 8*v - 40 = 0. What is the remainder when 278 is divided by y?
6
Let x = 7 - 2. Suppose 2*a - 48 = -p, -4*a + 246 = x*p - 0*a. Calculate the remainder when p is divided by (49/7*2)/(4 + (-102)/12 - -5).
22
Let c = -335 - -482. Calculate the remainder when c is divided by 1024/19 + 0 + (-16)/(-152).
39
Suppose 0 = 313*t - 242155 + 76265. What is the remainder when t is divided by 81?
