hat is the remainder when v is divided by 88?
85
Let a(q) = -q**3 + 8*q**2 + 21*q - 6. Let s be -4 + 56/(8 - 4). Let h be a(s). What is the remainder when 12 - (6/(-3) - h/(-1)) is divided by 3?
1
Suppose 0 = 2*w - 4 - 8. Let u be 1/3 - (2 - 868/w). Suppose -8 - 46 = -2*n + 2*l, 5*n = 3*l + u. What is the remainder when 89 is divided by n?
27
Let d = -16 - 1. Let v be d/(-17) - (109 + -1). Let z = 171 + v. Calculate the remainder when z is divided by 13.
12
Let k(t) = -t**3 + 6*t**2 - 2*t + 7. Let q be k(5). Suppose q*m = 23*m. Suppose l + 6 - 17 = m. Calculate the remainder when l is divided by 6.
5
Suppose 1 = 4*w + 17, -4*z - 4*w = -120. Suppose -8 = g - 7*y + 3*y, -28 = -4*g + y. Calculate the remainder when z is divided by g.
2
Suppose -6*u = -0*u - 24. Suppose -8 = -2*r - 0. Calculate the remainder when r is divided by u.
0
Let n(u) be the first derivative of 6*u**2 - 30*u + 67. Calculate the remainder when 28 - 1*(0 + -3) is divided by n(4).
13
Suppose -29*a = -21*a. What is the remainder when 258 is divided by (a + 4/6)*1110/74?
8
Let a(o) = 21*o**2 - 4*o - 9. Let h be a(3). Suppose h = q + 11*q. Calculate the remainder when 110 is divided by q.
12
Let v(h) = -h**2 - 97*h + 18857. Suppose 0*g - 369 = -3*p + 5*g, p - 3*g - 127 = 0. Calculate the remainder when p is divided by v(-194).
1
Let k = 462 + -433. Let r(o) = o**3 - 28*o**2 - 28*o + 23. What is the remainder when 108 is divided by r(k)?
4
Let p be ((-1)/1 - 4) + (42 - 37). Suppose 3*j - 4*o - 406 = p, 22*j - 5*o - 670 = 17*j. What is the remainder when j is divided by 11?
9
Suppose -2543 = 321*f - 11852. Calculate the remainder when 6938 is divided by f.
7
Let h(y) = -y**2 - 45*y - 181. What is the remainder when 2317 is divided by h(-40)?
18
Let r be -1 - (-847)/8 - 6/(-48). Let p = -100 + r. Calculate the remainder when ((-6)/4 + -1)*-8 is divided by p.
0
Suppose 5*p + 6*g - 1858 = 0, -16*g = 5*p - 12*g - 1872. What is the remainder when p is divided by 35?
30
Let v(t) = -t**3 - 7*t + 19. Let l be v(-6). Let o = l + -228. What is the remainder when o is divided by 6?
1
Let o = -3299 + 3659. What is the remainder when o is divided by 61?
55
Let w = 19 - -7. Let c(p) = -p**3 + 26*p**2 + 8. Let h be c(w). Suppose -2*g + 68 = y, -7*g = -3*g + h. Calculate the remainder when y is divided by 19.
15
Suppose -2*x - x - 4*t + 77 = 0, -x + 11 = 5*t. Suppose -b + 2*o + 12 = 1, 0 = -5*b + 2*o + x. What is the remainder when b is divided by 2?
1
Let g(u) = u + 35. Suppose 90 = -24*k + 18*k. Let s be g(k). Let b = s - -2. What is the remainder when b is divided by 12?
10
Let k(o) = 8*o + 17. Let q be -16 + 10 - 6*-1. Calculate the remainder when 32 is divided by k(q).
15
What is the remainder when (-10)/9 + (-432576)/(-324) is divided by 172?
130
Let r = -160 + 155. What is the remainder when (-1299)/(-15) - (-2)/5 is divided by (-42)/15*r - (0 - 1)?
12
Suppose 43*d - 43 - 86 = 0. Let g(k) = -1 + 9*k**2 + 0 - 4*k + 0. Calculate the remainder when g(d) is divided by 23.
22
What is the remainder when 1*((-117)/(-65))/((-6)/(-1390) + 0) is divided by 102?
9
Let h be (-114)/3*2 + (3 - 1). Let u = h - -110. Let v = 47 - u. What is the remainder when v is divided by 5?
1
Let j(t) = 20*t**2. Let w be j(-1). Let o = w + -7. What is the remainder when o/(-26) - (-219)/2 is divided by 38?
33
Suppose -1723*x + 1722*x - 3*l + 1401 = 0, -5*x + 7101 = -l. Calculate the remainder when x is divided by 25.
19
Let w(r) = -35*r - 151. Let n be w(-5). Let y(j) = j**2 - 9*j + 55. Calculate the remainder when y(n) is divided by 13.
12
Suppose 12 = -4*m - 0*m - 3*v, 3*v = -5*m - 12. Let g be -3*(-5 - (-2 - m - 2)). Calculate the remainder when 217 is divided by (0 - -33)/(g - (-9)/(-4)).
41
Let s(c) = -38*c - 3. Let j = 509 + -482. What is the remainder when s(-5) is divided by j?
25
Suppose 0 = 3*m + 326 - 338. Suppose 0 = 9*k - m*k + 4*j - 58, 28 = 3*k - j. What is the remainder when 54 is divided by k?
4
Let v(p) = -p**3 + 128*p**2 - 1174*p - 25. Let q = 2736 + -1583. Calculate the remainder when q is divided by v(10).
33
Suppose 27*i - 2*n = 31*i - 154, 3*i - 98 = 2*n. Suppose 3 + 3 = 2*w. Let g(t) = 5*t**3 - 4*t**2 + t + 2. Calculate the remainder when g(w) is divided by i.
32
Suppose 0 = 41*j + 107*j - 48617 - 33671. What is the remainder when j is divided by 319?
237
Suppose 3*b - 1 = -h, h + 4*h - 5 = 5*b. Suppose -3*f + 4*g + 646 = b, 4*f - 5*f + 5*g = -208. Calculate the remainder when f is divided by 13.
10
Suppose -3*o = -0*o - 5*m - 357, -2*o = 2*m - 238. Calculate the remainder when 13*3/3 - -1 is divided by 4*(2/(-12) - o/(-84)).
4
Let q(s) = -77*s - 2596. Calculate the remainder when 5147 is divided by q(-35).
98
Let c(b) = -32*b + 1008. Calculate the remainder when c(27) is divided by 67.
10
Suppose -284*c + 325*c = 170929. Calculate the remainder when c is divided by 107.
103
Let o be 10/3*12/(-50)*-5. Suppose -10 = 5*q, -o*s = -3*s + 5*q. Suppose -25*l + 23*l + s = 0. What is the remainder when 7 is divided by l?
2
Suppose -a - 5*z = -28 - 276, -5*z = 4*a - 1246. What is the remainder when a is divided by 51?
8
Suppose -113*t = -109*t - 1448. Suppose -2*r - r + 5*i + t = 0, 3*i + 122 = r. Suppose 34 = 3*b - 38. What is the remainder when r is divided by b?
23
Let r(v) = -76*v - 4368. What is the remainder when r(-88) is divided by 179?
172
Suppose -46*a + 1950 = 3*v - 43*a, 0 = v - a - 656. Calculate the remainder when v is divided by 8.
5
What is the remainder when (73/219)/(1/(-828)*-1) is divided by 154?
122
Suppose 0 = 8*o - 142 - 138. Let r = o + -97. Let z = -26 - r. Calculate the remainder when z is divided by 19.
17
Suppose 5*i + w = 3*w + 762, i - 149 = -3*w. Let d = -98 + i. Suppose -6*f + d + 90 = 0. Calculate the remainder when 95 is divided by f.
23
Suppose 3*h - 4*h - 10 = i, 0 = -3*i + 5*h - 38. Let b(d) = d**2 + 8*d - 6. Suppose -138*x + 128*x = -100. What is the remainder when b(i) is divided by x?
7
Calculate the remainder when -3*440044/(-66) - 6 is divided by 40.
36
Let a = -51 + 426. Suppose 4*f = q - a, 7*q = 8*q - 2*f - 371. Suppose -2*t = -3*u + q, -4*u + 7 + 483 = -3*t. What is the remainder when u is divided by 25?
21
Let g(m) = -53*m + m**2 - 21 - 56*m + 102*m - 7. Calculate the remainder when g(-6) is divided by 17.
16
Let y = 6676 - 6647. Calculate the remainder when 3420 is divided by y.
27
Let m be (-78)/4 - ((-169)/(-26))/13. Let s = 97 - m. Calculate the remainder when s is divided by 28.
5
Suppose 5*l - 2*w - 2 = 0, -l - 3*w - 3 = -0. What is the remainder when 119 is divided by 4/9 + l + (-1290)/(-135)?
9
Suppose 0 = -3*v + 9, 0 = -r - 5*v + 47 + 21. Let j = -10 + 7. What is the remainder when r is divided by 22*(2 - j/(-2))?
9
Suppose 3*t - 116 = 5*b, 4*b - 190 = -5*t + 28. What is the remainder when 213 is divided by t?
3
Suppose -5*r + 170 = -1220. Suppose 13*i - 15*i + 302 = 3*s, -3*s = -2*i + r. Calculate the remainder when i is divided by 35.
5
Let r(a) = -141*a + 5109. What is the remainder when r(32) is divided by 315?
282
Suppose -1318*n + 1328*n - 3620 = 0. Calculate the remainder when n is divided by 62.
52
Let m(i) = 419*i + 21. Calculate the remainder when m(5) is divided by 17.
8
Suppose 0 = 2*l - 2*f + 844 - 1198, 0 = -2*l - 3*f + 364. What is the remainder when l is divided by 45?
44
Let w(q) = -293*q + 3543. Calculate the remainder when 2613 is divided by w(12).
21
Let s = 496 - 494. Suppose 92 - 20 = s*u. Calculate the remainder when 62 is divided by u.
26
Calculate the remainder when (136/102)/(5 + -7)*(-6030)/4 is divided by 228.
93
Suppose -6 = -2*b - 0*k + k, 5*k = 0. Suppose 5*d - j - 80 = 0, 2*d - 2 = d + b*j. Let w = d - -42. What is the remainder when w is divided by 12?
11
Let b be ((-226)/3)/((-16)/24). Suppose 5*g = 14 - 4. Suppose -f + b = -3*w, -g*f - 4*w + 208 = -w. Calculate the remainder when f is divided by 22.
19
Let b = 69 + -44. Let j = 4237 + -4208. What is the remainder when j is divided by b?
4
Let z be ((-232)/14)/((-23)/161). Suppose 3*k + 116 = 4*w, -3*k + z = 3*w + w. Calculate the remainder when w is divided by 3.
2
Let q be 55/(-15)*(-4)/((-4)/3). Let o(k) = -7*k - 4. Let d be o(q). Suppose 3*b - 26 = d. Calculate the remainder when b is divided by 18.
15
Let l(q) = q + 578 + 6*q - 614 + 2*q. Suppose 0 = -m -