r = 4*t - 11. Let n be 235/35 + (-2)/(-7). Suppose n*u - 8 = 5*u. Calculate the remainder when t is divided by u.
1
Let g(t) = -t**2 - 18*t + 25. Let k be g(-19). Suppose -k*n = -5*n - 40. Calculate the remainder when 157 is divided by n.
37
Suppose 0*n - 422 = -2*j + 5*n, 189 = j + 3*n. Suppose 2*h - j + 7 = 0. Suppose -5*w = -48 - 77. What is the remainder when h is divided by w?
22
Let c(l) be the first derivative of -39*l**2/2 + 1. Let a be c(-4). Let g = a + -82. Calculate the remainder when g is divided by 25.
24
Calculate the remainder when -90*(7 - (-4 + 12)) is divided by 32.
26
Let h be (-6)/2 - (-6 - 1). Suppose i - h*i = -90. What is the remainder when i is divided by 16?
14
Suppose -3*x = 5*j - 15, -2*x = -4*j + 3*x + 49. Suppose 0 = -j*s - 53 + 629. Calculate the remainder when s is divided by 35.
26
Suppose i + 3236 = 4*q, 2*i - 1257 = -3*q + 1181. Suppose 0 = -13*o + 7*o + q. What is the remainder when o is divided by 34?
33
What is the remainder when 30 is divided by (34/6)/(7 - (-80)/(-12))?
13
Suppose -2*k - 3*a + 100 = 2*a, 140 = 3*k + 5*a. Calculate the remainder when 68 is divided by k.
28
Let g(u) = -u**3 - u**2 - u + 3. Let d be g(0). Suppose 0 = d*w - 3*i - 195, -5*i - 27 - 118 = -2*w. What is the remainder when w is divided by 21?
18
Let u(h) = h + 48. Calculate the remainder when u(-18) is divided by 11.
8
Let q(u) be the first derivative of u**3/3 - 7*u**2/2 + 5*u + 1. Let y be q(6). Calculate the remainder when 2 - -1 - (-23 + y) is divided by 10.
7
Let n(w) = w**2 + 7*w - 10. Let f be n(-9). Let d(p) = -7 + 2*p + 6*p - 4*p + f*p + p**2. Calculate the remainder when d(-15) is divided by 13.
12
Calculate the remainder when (6/(-4))/(4*(-39)/43160) is divided by 13.
12
Let j = 122 - 108. Suppose -2*t + 2*h = 6, -11 + 1 = 5*t - 4*h. Suppose -t*g = -114 + 36. What is the remainder when g is divided by j?
11
Let s(h) = h**3 + 23*h**2 - 2*h - 31. Calculate the remainder when 69 is divided by s(-23).
9
Let d(y) = 2*y**2 + 8*y + 16. What is the remainder when d(-5) is divided by 11?
4
What is the remainder when 10/(-16) - (-42)/(-112) - -149 is divided by 80?
68
Let n(s) = -11*s + 436. What is the remainder when 431 is divided by n(33)?
66
Let d(t) = t**3 + 17*t**2 + 16*t + 1. Let s be d(-16). Suppose -2*x = 5*c - 43, 11 = -4*c - s. Calculate the remainder when x is divided by 15.
14
Let y(u) = 2*u**3 + 8*u**3 - 8*u**3 - 2*u + 7 + 36*u**2. Calculate the remainder when y(-18) is divided by 15.
13
Let i be (56/84)/((-1)/90). Let a = i + 77. What is the remainder when 50 is divided by a?
16
Let m = 15 + 12. Let f = 34 - m. What is the remainder when f is divided by 3?
1
Calculate the remainder when (-1592)/6*14/(224/(-12)) is divided by 68.
63
What is the remainder when 50 is divided by (-6 + 7)*-6 + 34?
22
Suppose 0 = -4*u + 152 + 116. What is the remainder when u is divided by 10?
7
Let k(w) = -w**3 + 20*w**2 + w + 16. What is the remainder when 139 is divided by k(20)?
31
Let h = -2 - -4. Suppose -4*z - 17 - 8 = -r, h*z - 37 = -5*r. Let m = -6 + r. Calculate the remainder when 9 is divided by m.
0
Suppose -272*z + 275*z + 166 = b, 5*b - 2*z - 804 = 0. Calculate the remainder when b is divided by 18.
16
Suppose 5*h - 444 = 95*n - 99*n, -2*n - 4*h = -216. Calculate the remainder when 408 is divided by n.
60
Let m = 341 - 311. What is the remainder when m is divided by 4?
2
Suppose -z = -2*a + z + 30, -5*z = a + 15. What is the remainder when 3/(-2) - (-158)/4 is divided by a?
8
Let p = 191 + -178. Calculate the remainder when (-150)/(-2 - 1) - 1 is divided by p.
10
Suppose 3*p + 117 = -n - 24, -5*p + 173 = -n. Calculate the remainder when (n/(-3) - -3)/(1/1) is divided by 10.
4
Suppose 0 = 3*v - 66 - 63. Calculate the remainder when 169 is divided by v.
40
Suppose -d - 8 = -3*d. Let f(m) = -m**3 + 3*m**2 + 3*m + 4. Let c be f(d). What is the remainder when 0 - c - (-623)/7 is divided by 23?
20
Suppose -48 = 3*w - 9. Let i = w - -16. What is the remainder when 13 is divided by i*2 - (4 + -3)?
3
Calculate the remainder when 133 - (-3 + 8 + (7 - 5)) is divided by 69.
57
Suppose 2*b - u - 16 = 0, 3*u = 2*b - b + 2. Let x = -2 + b. Let p = -37 + 52. Calculate the remainder when p is divided by x.
7
Suppose 4*y + 23 = 15. Calculate the remainder when (-58)/y + -3 - -3 is divided by 8.
5
Suppose 4*q - 75 = -3*k, -q + 3*k - 4*k = -18. Calculate the remainder when 1/(16711/(-1394) - -12) is divided by q.
19
Suppose 0 = g - 8 + 3. Suppose g*k + 34 - 9 = 0. Calculate the remainder when 38 is divided by ((-78)/15)/(2/k).
12
Let l(t) = t**2 + 2*t + 36. Let b be l(0). Suppose 0 = 2*x - b + 4. Suppose 16 = -4*d, -d - 29 - 3 = -s. Calculate the remainder when s is divided by x.
12
Let o = 996 + -973. What is the remainder when o is divided by 7?
2
Let g(l) = 3*l + 3. Let c be g(-4). Let m = c + 18. Suppose -v = -2*v - x + 19, 4*v + 2*x = 86. What is the remainder when v is divided by m?
6
Let z(f) = -10*f + 3. Calculate the remainder when 42 is divided by z(-1).
3
Calculate the remainder when ((-5)/50*18)/(2/(-130)) is divided by 6.
3
Suppose 8*l + 12*l - 800 = 0. Suppose p - 234 = -p. What is the remainder when p is divided by l?
37
Let o(s) = -s**2 + 7*s + 108. Calculate the remainder when 257 is divided by o(-7).
7
What is the remainder when 75/(-150) + (-2294)/(-4) is divided by 36?
33
Let h(l) = l + 1. Let u be h(5). Let a be (1 - -1)*(18 - 9). Suppose a = u*m - 4*m. Calculate the remainder when 17 is divided by m.
8
Let y(j) = -3*j**2 - 11*j - 16. Let q be y(-6). Let k = -9 - q. Calculate the remainder when k is divided by (-24 + 25)*13*1.
10
What is the remainder when (206/(-6))/((-2)/6) is divided by 21?
19
Let f be (4 + -7)/(-1) + (4 - -1). Suppose 18*r - 170 = f*r. What is the remainder when 151 is divided by r?
15
Let s(q) = -q**3 + 18*q**2 + 14. Let w be s(18). What is the remainder when 5/(-20)*0 - w/(-2) is divided by 3?
1
Suppose 2*d + 3*y - 38 = 20, 5*d + 4*y - 145 = 0. Let a(o) = -2*o**3 + 23*o**2 - 28*o + 36. Calculate the remainder when a(10) is divided by d.
27
Suppose 0*l - 632 = -2*l - 2*z, -2*l - z + 636 = 0. Suppose 4*b + l = 4*i, b + 319 = 4*i - 2*b. What is the remainder when i is divided by 27?
25
What is the remainder when ((-22)/8)/(34/(-680)) is divided by 15?
10
What is the remainder when 31 + (-1 - 1*-2) is divided by 71 - 64 - (-5 - 0)?
8
Let r = -285 + 641. What is the remainder when 41 is divided by 10/(-8) + r/16?
20
Let g = -40 + 122. What is the remainder when g is divided by 14?
12
Calculate the remainder when 5/((-30)/(-948))*2 is divided by 80.
76
Suppose -2 = -4*h + 2*h, 0 = p - 4*h - 47. Let j = 65 + -38. What is the remainder when p is divided by j?
24
Let s(v) = v**2 - 15*v + 4. Let x be s(15). Suppose -24 = -x*o + 8. What is the remainder when 63 is divided by o?
7
Let d(m) be the first derivative of -m**4/2 + 5*m**2/2 + 2*m - 7. What is the remainder when 9 is divided by d(-2)?
1
Let l be (-8)/(-2) - (-160)/(-4). Calculate the remainder when -82*(4 + l/8) is divided by 22.
19
Let d = -621 - -839. Calculate the remainder when d is divided by 45.
38
Let l = -255 + 315. What is the remainder when 116 is divided by l?
56
Let a(l) = -17*l + 527. Suppose m - 39 = -2*m. What is the remainder when a(25) is divided by m?
11
What is the remainder when 8*52*(-2)/(-4) is divided by 10?
8
Let v = -28 - -17. Let j = 29 + v. Suppose 3*i - j = 9. What is the remainder when i is divided by 6?
3
Suppose -92 = 54*j - 58*j. Calculate the remainder when 136 is divided by j.
21
Let h(k) = -2*k + 10. Let z be h(5). Suppose -12 = -4*t - z*t. Suppose -4*u + 16 = 4*o, 2*u + 1 = -5*o + 4*u. What is the remainder when t is divided by o?
0
Let l(c) be the second derivative of -c**4/12 - c**3/6 + 15*c**2/2 + 13*c. What is the remainder when 58 is divided by l(0)?
13
Suppose 18*n - 7*n = 77. Calculate the remainder when 12 is divided by 0 + 7 + (4 - n).
0
Let c be (-2 + 4 + -1)*1. Suppose 5*y + 54 = 379. What is the remainder when y is divided by (c + 1)*51/6?
14
Suppose 5*i = 64 + 31. Calculate the remainder when 6 + -9 - -1*57 is divided by i.
16
Suppose -4*u - n = -22, 147 = -u - 5*n + 162. Suppose -d = 0, 2*s + 5*d = 4*s - 28. What is the remainder when s is divided by u?
4
Let m = -449 - -469. What is the remainder