late a(t).
20
Let u(y) = -30 - 47*y - 43*y + 144*y + 5 - 50*y. Calculate u(6).
-1
Let o(g) be the first derivative of 25*g**3/6 + g**2/2 + 12*g + 31. Let n(t) be the first derivative of o(t). What is n(-1)?
-24
Let t(j) = -j**2 + 16*j + 20. Let u(f) = -3*f**3 + 14*f**2 + 17*f - 50. Let q be u(5). Calculate t(q).
80
Suppose -3*h = -l - 13, 2*h - 9 = h - 2*l. Let s(g) = h*g - 4*g - 3 - 2*g**2 + 0*g + 2*g. Determine s(2).
-5
Let a(i) = -310*i**2 + 18*i - 19. Let t(l) = -143*l**2 + 9*l - 9. Let s(p) = 6*a(p) - 13*t(p). Calculate s(-11).
-19
Let x(a) = 2*a**3 - 2*a**2 + 3*a - 4. Let k be x(2). Suppose -5*l + k*l = n + 16, -2 = 2*n. Let p(f) = 0 + 1 - 3*f - l + 3. What is p(1)?
-2
Let m(r) = -2*r**2 - 7*r + 2. Suppose 3*a = -5*o - 25, -10 = 2*o + 4*a + a. Let s be (20/15)/(o/15). Let h be -6*(3 - s/(-2)). Give m(h).
-28
Let q be -5 + 1 + 4 + 2. Suppose -q*n = 5*b + 7, -7*n - 3 = -2*n - 2*b. Let d(u) = 0 + 5*u + 1 + 0*u. What is d(n)?
-4
Let k(a) be the second derivative of -1/10*a**5 - 7/24*a**4 + 3/2*a**3 + 1/120*a**6 + a + 0 - 3*a**2. Let o(n) be the first derivative of k(n). Determine o(7).
9
Let v = -256 - -261. Suppose -6*a = -v*a - 7. Let q(o) = o**2 - 2*o - 10. Calculate q(a).
25
Let z = -65 - -86. Let d = 19 - z. Let c(u) = u**3 - 2*u**2 + u + 2. Give c(d).
-16
Let c(m) be the third derivative of m**6/120 - 2*m**5/15 - m**4/3 + 23*m**3/3 - 2*m**2 + 1662. Calculate c(8).
-18
Let y(b) be the third derivative of b**6/120 - 13*b**5/60 - 29*b**4/24 - 7*b**3/3 - 10*b**2 - 2*b + 56. Calculate y(15).
1
Suppose 7*q = 4*b + 8*q - 9, -q = -5*b. Let o(a) = 8*a**2 + 10*a + 11*a**2 + b - 4*a - 20*a**2 - 6. Calculate o(4).
3
Let x(i) = 10*i**2 - 28*i + 11. Let r(q) = 3*q**2 - 11*q + 1. Let f(y) = -3*r(y) + x(y). Determine f(0).
8
Let s(m) = -3*m**2 + 5*m**2 + 4*m - 3*m + 458 - 451. What is s(2)?
17
Let z(j) = 2*j**3 - 26*j**2 + 58*j + 20. Let r be z(10). Let b(u) = u**2. What is b(r)?
0
Let v(k) = 85*k + k**3 + 63*k**2 - 84*k - 15*k**2 - 44*k**2. Let c = -14 - -10. Calculate v(c).
-4
Let x(u) = u**2 + 7*u + 9. Let z be x(-6). Let k(q) = -q + 5*q**3 - 4*q**3 + 0*q**z + 5*q**2 + 2. Let g = -3864 - -3859. Calculate k(g).
7
Suppose -27*y - 14 - 40 = 0. Let w be y/(-3) - 539/147. Let h(q) = -1 + 2 + q - 2*q**2 + 0 + 6*q**2 + q**3. Determine h(w).
7
Let t be (-6 + 5)/((-6)/(-108)). Let b be (t/21)/3*7. Let k(p) = 2*p**3 - 2*p**2 - p + 2. Calculate k(b).
-20
Suppose 286 = -32*y + 6*y. Let k be (-13)/(1/1) + 14 + y. Let j(u) = -u - 1. What is j(k)?
9
Let y(l) = 11*l - 3. Let k(t) = -49*t + 27*t - 2 + 29*t. Let q(b) = 8*k(b) - 5*y(b). Let c(i) = i**3 + 4*i**2 - 4*i + 7. Let p be c(-5). Determine q(p).
1
Suppose -2*j - 38 = 7*x, -j + x + 3009 = 3010. Let m(d) = 3 + 4*d + d**2 + 4*d**2 + d**3 - 2. Calculate m(j).
-19
Let u(o) = -8*o + 199. Suppose -17*n + 216 = -8*n. Let c be u(n). Let m(r) = -6*r - 9 - 2*r**2 + r**3 - r - 4*r**2. What is m(c)?
-9
Let l(i) = 20*i**3 + 67*i**2 + 93*i + 67. Let z(y) = -7*y**3 - 23*y**2 - 31*y - 23. Let b(v) = -6*l(v) - 17*z(v). Give b(-6).
-5
Suppose 3*c - 2 - 4 = 0. Let w(v) = 8 - 14 - 3*v**3 - 1 - 4*v + 9*v**c - 4. Let n(z) = -z**3 + 5*z**2 - 2*z - 5. Let l(s) = 5*n(s) - 2*w(s). Determine l(-7).
11
Let s(f) be the first derivative of -1/2*f**2 - 5*f - 279 - 1/3*f**3 - 1/4*f**4. Let i(u) = -u**3 - 4*u**2 - 2*u + 3. Let t be i(-3). Calculate s(t).
-5
Let l(k) = 7*k + 15*k**2 - 7 + 18*k - 44*k**3 + 98*k**3 - 53*k**3. What is l(-13)?
6
Suppose 7*o = 11*o. Suppose 0 = -5*f - 5, 2*t + 3*f = -o*f + 5. Let k(w) = -22*w + 5*w + 14*w - 12 + t*w. Calculate k(10).
-2
Suppose 3*u + 87 = -33. Let h = u + 42. Let j(n) = n - h - n - n + 7. Calculate j(8).
-3
Let y(f) be the first derivative of -194 + 2/3*f**3 - 7/2*f**2 + 3*f. Calculate y(5).
18
Suppose 1543*c = 1555*c - 10788. Let h = -899 + c. Let r(i) be the second derivative of -i**3/6 - 3*i**2/2 - i. Determine r(h).
-3
Let m(v) = v. Let t = 378 + -352. Suppose 0 = 3*q - 3*c, t*q + 4*c + 10 = 25*q. Give m(q).
-2
Let v(x) = -5*x**3 + 13*x**2 - 13. Let q(h) be the second derivative of h**5/20 - h**4/4 + 3*h**2/2 - 55*h. Let f(k) = -9*q(k) - 2*v(k). Determine f(2).
11
Let s(j) = 2*j**3 - 35*j**2 - 5*j - 10. Let i(g) = 2*g**3 - 24*g**2 - 3*g - 11. Let p(q) = 3*i(q) - 2*s(q). What is p(3)?
26
Suppose 32*t - 108 = 25*t + 25*t. Let a(g) = -9*g + 14. Determine a(t).
68
Let b(z) be the third derivative of z**6/120 + z**5/12 + 5*z**4/24 + 5*z**3/6 + 10*z**2. Let v be b(-2). Suppose -5*i = -13 - v. Let l(k) = k - 8. Give l(i).
-4
Let f(u) = 16*u**3 - 18*u**2 - 13*u + 58. Let r(b) = 13*b**3 - 17*b**2 - 14*b + 58. Let p(h) = -4*f(h) + 5*r(h). Determine p(14).
2
Let g(l) = l**3 + 7*l**2 - 6*l - 2. Let p(n) = -44*n - 169. Let u be p(-4). Let m be (-1 + -2)*u/((-105)/(-40)). Calculate g(m).
-18
Let w(i) be the second derivative of i**3 + 3*i**2/2 - i - 608. Determine w(-2).
-9
Let t(o) be the second derivative of 2*o**3/3 + 3*o**2 - 2*o. Let p = 106 - 116. Let y be 12/30 - (-2 - 64/p). What is t(y)?
-10
Let j be (-2)/5 + (-23)/((-1495)/2366). Let q = 32 - j. Let r(y) = y**3 + 3*y**2 - 6*y - 3. Calculate r(q).
5
Let j be (-10 + 8)/(-1 + 30/24). Let d(v) = v**2 + 6*v - 22. Determine d(j).
-6
Let i(y) be the third derivative of -y**6/120 - y**5/6 + y**4/3 + 2*y**3 - 487*y**2. Calculate i(-11).
45
Let r(y) be the third derivative of 1/6*y**5 - 5/3*y**3 + 1/3*y**4 - 8*y + 0 - 4*y**2 + 1/120*y**6. Give r(-9).
-1
Let n be 5/(-25) + 21/5. Suppose 0 = -n*g + 2 - 6. Let p be (0 - g) + 17 + -26. Let o(v) = v + 11. Determine o(p).
3
Suppose -6*f + 24 = -2*f. Let l(s) = -4*s + 3*s - 7 + f. Suppose 2*y - 3*z + 16 = -6*z, 5*y + 2 = 2*z. Determine l(y).
1
Let w(r) = -r**3 + 26*r**2 - 25*r - 14. Let y(s) = -97*s - 2109. Let k be y(-22). Determine w(k).
-14
Let a(m) = 8*m + 149. Let b(h) = 4*h + 74. Let d(x) = -6*a(x) + 11*b(x). What is d(-21)?
4
Let t(j) = -2*j - 22. Suppose -245*z - 827 = -69*z + 933. What is t(z)?
-2
Let f be -6 + 11/(33/36). Let z(s) = -3*s**2 - 10*s + 12. Let y(b) = -2*b**2 - 5*b + 6. Let c(k) = -5*y(k) + 3*z(k). Calculate c(f).
12
Let l = 181 - 173. Let o(y) = -y + 29 + 2*y - 17 - l. Suppose -m - 14 = 5*v, 3*m = 1 - 13. Calculate o(v).
2
Let c be ((-1)/(-9) - (-1250)/900)*-2. Let h(f) = -f**3 - 4*f**2 - 8*f - 3. Calculate h(c).
12
Suppose 4 = -b - 60. Let l = -63 - b. Let x(i) = l - 6 - 6*i + 6. Calculate x(1).
-5
Let m(l) = -l**3 + 7*l**2 - l + 7. Let n be m(7). Let j be (1 - n) + 0/(2 - 9). Let r(f) = -3*f - 2 + 2 - 1. Give r(j).
-4
Let l(z) = -z**2 + 18. Let g be l(-4). Suppose -o = -5*b, 5*o = -2*b - g*b + 29. Let y = o + -1. Let c(x) = -x**3 + 3*x**2 + 3*x + 1. Calculate c(y).
-3
Suppose -2*k - 9 = k. Let n(w) = 3*w**2 - 8*w - 11. Let t(q) = -2*q**2 + 4*q + 6. Let j be (-22)/55 - (-46)/(-10). Let l(u) = j*t(u) + k*n(u). What is l(-2)?
-1
Suppose 30 = 8*b - 42. Suppose 0 = -4*s + 2*r - r - 3, -3*s - 3*r + b = 0. Suppose 0 = -3*q - s + 12. Let j(d) = d**3 - 4*d**2 + 2*d - 3. Determine j(q).
5
Suppose 6*i - 3*i - 3 = 0. Let n = i + -4. Let r(c) = c**2 + 5*c + 3. Let v(a) = -a**3 - 34*a**2 - 154*a - 96. Let h(k) = -31*r(k) - v(k). Determine h(n).
6
Suppose 8*z - 321 = 2687. Suppose 382*n = z*n. Let k(l) = l**2 + l - 8. What is k(n)?
-8
Let l(r) = -r**2 - 14 + 10 + 3*r - 5 + 95. Determine l(-7).
16
Let o = 790 - 823. Let j be 0/1 + (-231)/o. Let d(w) = w**3 - 6*w**2 - 7*w + 2. Give d(j).
2
Let l(h) = -2*h**2 + h - 3. Let i(r) = -r**2 - 22*r - 53. Let n be (13/26)/((-3)/114). Let d be i(n). Determine l(d).
-31
Let l(h) be the third derivative of h**6/120 + 7*h**5/15 + h**4/8 + 46*h**3/3 - 2255*h**2. Determine l(-28).
8
Let m(y) be the first derivative of -y**3/3 + 7*y**2 + 195*y - 13746. Give m(24).
-45
Let l be 1*(-2)/2*-1. Suppose 0 = -45*j - 4*j + 49. Let s(m) = -m**2 - m - 4. Let h(x) = x**3 + x**2 + x. Let z(k) = j*h(k) + l*s(k). Give z(0).
-4
Suppose 0 = 3*w - 3*i + 39, -2*i + 62 = -5*w + 2*i. Let b be (-1)/((-1)/((-2)/2))*w. Let y(k) = 2 + 1 - b - 3*k**2 + 5 + 4*k. Calculate y(2).
-6
Let o(x) be the third derivative of -x**8/20160 + x**7/1008 + x**6/120 + 17*x**5/20 - 3*x**2 + 17. Let f(t) be the third derivative of o(t). Determine f(8).
-18
Suppose 8*z = 6*z + 4. Let g(y) = 7*y - 3. Let o be g(z). Let u(b) = -o*b + 9*b + 11*b + 1. Give u(-1).
-8
Let y = 24889 - 24885. Let a(k) be the third deri