emainder when z is divided by v.
48
Let r(u) be the second derivative of 5*u**4/12 + 2*u**3/3 - u**2/2 + 56*u. What is the remainder when 50 is divided by r(2)?
23
Let z(x) be the third derivative of 23*x**4/6 - 11*x**3/6 + 51*x**2. Calculate the remainder when z(1) is divided by 30.
21
Suppose 0 = -34*m + 5896 + 10050. What is the remainder when 796 is divided by m?
327
Let w(j) = j**2 + 13*j - 205. Let s be w(-23). Suppose -4*k - 567 = -s*k. What is the remainder when 63 is divided by k?
9
Let m = 1094 + -407. Calculate the remainder when m is divided by 221.
24
Suppose 2*l - 7*l + 200 = 5*v, -5*l = 25. Suppose 7*n - v = 12*n. Let r = 7 - n. Calculate the remainder when 61 is divided by r.
13
Let p be -35 + 43 + 10/(-1). Calculate the remainder when 80 is divided by (p + 3/2)*-50.
5
Suppose 2*f + 6 = 0, 478 = -10*j + 12*j + 4*f. Calculate the remainder when j is divided by 85.
75
Let l(m) = -m**3 + 16*m**2 - 47*m - 8. Let t be l(12). Suppose -11*k + 2*s = -13*k + 102, t*k - 228 = 4*s. What is the remainder when 431 is divided by k?
53
Suppose 21*z - 23*z - 4*f = -46, -z - 5*f = -8. Calculate the remainder when 224 is divided by z.
26
Let n = -2361 - -2532. Calculate the remainder when n is divided by 168.
3
Suppose -3*m + 2*m + 126 = 0. What is the remainder when m is divided by 3 + -18 + 14 - (-14)/1?
9
Suppose 4*y = -l + 5*y + 177, -15 = 3*y. Calculate the remainder when l is divided by -88 + 96 + (1 - -35).
40
Suppose -119*d + 55*d + 1408 = 0. Let o(s) = -2*s - 4. Let v be o(-3). Calculate the remainder when 6*(86/3)/v is divided by d.
20
Let j = -38 - -141. Let d = j - 62. Suppose 223*w - 8530 - 9087 = 0. What is the remainder when w is divided by d?
38
Suppose 6467*n = 6485*n - 4284. What is the remainder when 472 is divided by n?
234
Suppose 3*f - 203 = -93*c + 97*c, -65 = -f + 4*c. What is the remainder when f is divided by 16?
5
Suppose 8*o = -17*o - 36*o + 23485. Calculate the remainder when o is divided by 19.
5
Calculate the remainder when 3/2*-56*(144/28)/(-2) is divided by 187.
29
Suppose 21 = -3*i - u, 7*i - 3*i + 3*u = -28. Let g(t) = t**3 + 9*t**2 + 7*t + 22. What is the remainder when g(i) is divided by (-4)/(-10)*15*3?
17
Let o be -6 - -3 - 93/(-3). Suppose -2*r = -2*c + 13 + 9, -5*r - 16 = -2*c. Calculate the remainder when (-1)/4 + 623/o is divided by c.
9
Suppose 3*d = -4*b + 154, 11*d + 60 = 12*d - 3*b. Let k = -148 + 306. Calculate the remainder when k is divided by d.
50
Suppose -3*l + 5*q = -981, -202*q - 18 = -205*q. What is the remainder when l is divided by 69?
61
Suppose 0 = 4*b - 5*b + 94. Let u = 20523 - 20498. Calculate the remainder when b is divided by u.
19
Let y = 25237 - 24419. What is the remainder when y is divided by 392?
34
Let v = 28 - 14. Suppose 2*r - 25 = -13. Let z(j) = 18*j - 42. Calculate the remainder when z(r) is divided by v.
10
Let i be 24 + 5 + -3 + 1/1. Let j = i + -24. Suppose -j*m = -3*z - 21, 2*m - 3*z - 13 = m. What is the remainder when 11 is divided by m?
3
What is the remainder when ((-233300)/(-240) - 5) + (-2)/24 is divided by 97?
94
Suppose 3*v - 234 = 357. Let g = 57219 - 57194. Calculate the remainder when v is divided by g.
22
Suppose -v - 4*s + 29 + 26 = 0, 2*s = 0. What is the remainder when 493 is divided by v?
53
Let u(h) = 2*h**2 - 18*h + 10. Let m be u(9). Calculate the remainder when ((-460)/(-25))/(4/m) is divided by 99/8 + (-18)/48.
10
Suppose 3242 = 6*i - 208. What is the remainder when i is divided by 64?
63
Suppose -9*a = -18 - 2341 - 44. What is the remainder when 1076 is divided by a?
8
Let t = -176 + 194. Suppose -5*o - 4*z = 664, 0*o + 3*z = -o - 135. Calculate the remainder when (o/20 - 0)/((-1)/5) is divided by t.
15
Calculate the remainder when ((176/(-40))/22 - 1471/(-5)) + 4 is divided by 92.
22
Suppose -c - 183 = -k + 295, -4*k - 2*c = -1900. Suppose 188*x - 202*x = -k. What is the remainder when 100 is divided by x?
32
Suppose 4*b = 8 + 16. Suppose h - b*h = -145. Calculate the remainder when h is divided by ((-2)/(-8))/(72/4608).
13
Suppose -b - 13 + 300 = -4*z, 4*b - 1141 = 17*z. What is the remainder when 930 is divided by b?
300
Suppose -118*g = -99*g - 17404. What is the remainder when g is divided by 186?
172
Let f = -1205 - -445. What is the remainder when 84 is divided by (-38532)/f + (-6)/(-20)?
33
Let m = -9181 + 12902. Calculate the remainder when m is divided by 162.
157
Suppose -d - 5*c + 203 = 0, -2*d + 35 + 364 = 3*c. What is the remainder when d is divided by (-9)/4 + (-210103)/(-2908)?
58
Suppose -3*p + 5*k = -9, 3*k = -4*p + 5*k + 12. Suppose -p*w + 0 = -96. Calculate the remainder when w is divided by 3 - (7 - 5) - -6.
4
Suppose 23*h + 3*y = 22*h + 14, 32 = 4*h + 4*y. Let c(x) = -21*x + 114. What is the remainder when 222 is divided by c(h)?
6
Suppose -525*n = -522*n - 411. Suppose 15*o - n - 28 = 0. Calculate the remainder when 50 is divided by o.
6
Let m be (12/(-1))/(1/(-36)*6). Suppose -5*i + 726 = -4*j, 0 = 2*i + 4*j - 340 + m. What is the remainder when i is divided by 5?
2
Let t = 5559 + -5554. Calculate the remainder when 1814 is divided by t.
4
Let m(s) = 6*s**2 - 8*s - 23. Let h(w) = w**2. Let i(a) = 14*h(a) - 2*m(a). What is the remainder when 39 is divided by i(-4)?
11
Let x be 1*2/4*0 + 5738. Let s be x/22 - (-32)/176. Suppose s = 5*f + 66. Calculate the remainder when f is divided by 15.
9
Let p = -113 - -81. Let v be (-24)/p + (-482)/(-8). Suppose -w - 5*h = 4*w - 105, -3*w - h = -v. Calculate the remainder when w is divided by 13.
7
Calculate the remainder when 6/(-20)*2 + (-127764)/(-315) is divided by (324/(-2))/(-3) + 4.
57
Suppose 0 = 4*x + 4, -5*x = 2*n + 5396 - 21971. What is the remainder when n is divided by 22?
18
Let m(v) = -v**3 + 5*v**2 - 2*v - 2. Suppose 27 + 53 = 5*c. Let i = 27 - c. Calculate the remainder when i is divided by m(3).
1
Let i(g) = 11*g + 7. Let c(x) = 32*x**2 - 40*x - 82. Let l(h) = -10*h**2 - h. Let j(m) = -c(m) - 3*l(m). What is the remainder when i(6) is divided by j(23)?
8
Let c(p) = -p**3 - 4*p**2 + 13*p + 11. Let r be c(-6). Suppose -r*j = -40 - 335. Calculate the remainder when j is divided by 19.
18
What is the remainder when 292 is divided by (-8 + 7 + (-52)/2)*-1?
22
Suppose -2*p = 5*l - 4047, 88*l - p - 4044 = 83*l. Suppose -b = -4*f + 2005, -3*f + 689 = 5*b - l. What is the remainder when f is divided by 7?
4
Suppose -2*v + 443 = r, -861 = -4*v - 47*r + 50*r. Calculate the remainder when 1097 is divided by v.
2
Let x(s) = s**3 - 19*s**2 + 72*s - 107. Calculate the remainder when 3063 is divided by x(15).
70
Suppose 3*p - 214 = 2*a + 36, -2*p + 4*a = -164. Suppose -4*f - 4*o = -116, -2*o - 91 = -3*f - 4. What is the remainder when p is divided by f?
26
Let n be 15/(405/(-288))*228. Calculate the remainder when 1/(n/488 + 5) is divided by 9.
7
Let f be 9 + 1/(1/(-5)) - 2. Suppose -f*o + 117 - 39 = 0. What is the remainder when 188 is divided by o?
32
Suppose 0 = -2*q - 5*c + 7089, -14788 = -5*q - 2*c + 2882. Calculate the remainder when q is divided by 136.
132
Let t(p) = 8*p - 10. Suppose 96 = 28*n - 4*n. What is the remainder when t(n) is divided by 19?
3
Suppose -4*r = r + 5*j, 0 = -3*r - j + 8. Suppose 71 = r*h - 97. Suppose 3*s + h = 201. What is the remainder when s is divided by 11?
9
Let s(l) = 57 + 41 + 3*l - 9. Suppose 2*f = -3*f + 100. Calculate the remainder when f is divided by s(-27).
4
Let w = 27221 + -27088. Calculate the remainder when 2413 is divided by w.
19
Let z(k) be the second derivative of -k**4/12 + 19*k**3/6 - 8*k**2 + 94*k. What is the remainder when 173 is divided by z(15)?
41
Let v(z) = -66*z - 126. What is the remainder when 291 is divided by v(-4)?
15
Let q = -1035 - -362. Let a = q - -1149. What is the remainder when a is divided by 80?
76
Let c = 458 + -172. Let z = c + -278. Calculate the remainder when 214 is divided by z.
6
Let u = 6794 - 6751. Calculate the remainder when 1599 is divided by u.
8
Let j(z) = -857*z - 18 + 2*z**2 - z**2 + 846*z. Calculate the remainder when j(-9) is divided by 48.
18
Let i(x) = x**3 - 23*x**2 - 41*x - 174. What is the remainder when 809 is divided by i(25)?
44
Let q(h) = 116*h + 292. Let a be q(-10). Let c = a - -899. Suppose 3*u + 2*d = 366, u - 122 = d + 2*d. Calculate the remainder when u is divided by c.