1*x**3 - 13*x**2 + 8*x + 17. Let h(k) be the second derivative of k**5/4 - k**4/2 + 2*k**3/3 + 4*k**2 - 56*k. Give -6*b(g) + 13*h(g).
-g**3 + 4*g + 2
Let w(s) = -4*s**3 + 10*s**2 - 4*s. Let p(l) = 12*l**3 - 30*l**2 + 13*l + 1. Give -2*p(d) - 7*w(d).
4*d**3 - 10*d**2 + 2*d - 2
Suppose 39*c = 41*c. Suppose c*y - 2*y + 3*t + 7 = 0, 0 = -5*t + 25. Let p(q) = 9*q**2 + 8*q. Let i(s) = -3*s**2 - 3*s. Give y*i(d) + 4*p(d).
3*d**2 - d
Let x(m) = 2*m**2 - 3*m**2 + 0 + 3*m - 2*m + 1. Let h be -2 + (-16)/((-4)/1). Let y(n) = n - 16*n**h + 3 - 2 + 13*n**2. Give x(i) - y(i).
2*i**2
Let g(y) = 3*y - 3. Let b(u) = -6*u + 8. Give -2*b(k) - 5*g(k).
-3*k - 1
Let u(t) = -t - 4. Let w(o) = -3*o - 11. Let r(h) be the first derivative of -11 + 2*h + 1/2*h**2. Let a be r(-6). What is a*w(c) + 11*u(c)?
c
Let q(k) = -k**3 + 20*k**2 - k - 2. Let i(b) = b**3 - 40*b**2 + 3*b + 5. What is 2*i(r) + 5*q(r)?
-3*r**3 + 20*r**2 + r
Suppose 28*k - 25 = 23*k. Suppose -2*t - 22 = 2*x + 2*t, -3*x + k*t = 0. Let c(u) = -3*u**3 + 6*u - 6. Let j(m) = -2*m**3 + 5*m - 5. What is x*c(n) + 6*j(n)?
3*n**3
Suppose 0 = -t + 4*t + 240. Let b = 105 + t. Let x(y) = 5*y**3 + 2*y. Let o(d) = 60*d**3 + 25*d. Calculate b*x(r) - 2*o(r).
5*r**3
Let t(w) = 10*w**3 - 3*w**2 - 13*w + 4. Let m(n) = -11*n**3 + 4*n**2 + 16*n - 5. Determine -3*m(j) - 4*t(j).
-7*j**3 + 4*j - 1
Let i(d) = -5*d + 1. Suppose 0 = 3*s + 9 - 0. Let l be -7 - -4 - (-2 + s). Let k(u) = 1 - 5 + l + 12*u - u. Calculate -7*i(c) - 3*k(c).
2*c - 1
Let v(q) = -6*q**2 + 7*q - 3. Let k(w) = 16*w**2 - 20*w + 8. What is 5*k(m) + 14*v(m)?
-4*m**2 - 2*m - 2
Let f(i) = 2 + 2 - 3 - 100*i + 3*i**2 - 2*i**2 + 101*i. Let t(b) = -2*b**2 - 3. Determine f(h) + t(h).
-h**2 + h - 2
Let t(l) = -l**2 - 2*l + 1. Let i(v) = -3*v**2 - 9*v + 1. Determine -3*i(u) + 6*t(u).
3*u**2 + 15*u + 3
Let l(o) = -7*o + 1. Let p(q) = 3*q - 1. Determine -4*l(r) - 9*p(r).
r + 5
Let a(j) = -j**2 + 5*j - 3. Let t(f) = -2*f**2 + 6*f - 4. Suppose -2*u + 3*n = -u + 11, u - 4*n = -16. Give u*a(m) - 3*t(m).
2*m**2 + 2*m
Let p(n) = 18*n**3 + 4. Let h(m) = 18*m**3 + 5. Let y(q) = 125*q + 746. Let t be y(-6). Give t*h(c) + 5*p(c).
18*c**3
Let y(w) = 115*w + 1. Let c(k) = -114*k - 2. Calculate -2*c(r) - 3*y(r).
-117*r + 1
Let j(w) = 5*w - 7. Let q(z) = -13*z + 15. Give -10*j(d) - 4*q(d).
2*d + 10
Let p(m) = 3*m**2 - 3*m + 4. Let v(j) = 5*j**2 - 7*j + 9. Let c = -213 - -206. Determine c*p(h) + 3*v(h).
-6*h**2 - 1
Let g be 3/5 - 24/(-10) - 3. Suppose 3*j - 2*j - 2 = g. Let v(z) = -5*z - 1. Let m(b) = -4*b. Calculate j*v(a) - 3*m(a).
2*a - 2
Let t(c) = -11*c**3 - 3*c + 30. Let h(d) = 2*d**3 + d - 1. Calculate 6*h(u) + t(u).
u**3 + 3*u + 24
Let j(n) = 7*n - 3. Let z(p) = p - 1. Let i = 118 + -112. What is i*z(y) - j(y)?
-y - 3
Suppose 0*a + 12 = -4*a. Let v(p) = -p + 5. Suppose -32*b = -37*b + 55. Let k(s) = 2*s + b - 32 + 10. What is a*k(l) - 7*v(l)?
l - 2
Let q(r) = r. Let b(l) = -4*l. Suppose 10*f = -2*j + 5*f + 1, 0 = -3*j + 4*f - 10. Let v(u) = -u**3 - u**2 + 1. Let i be v(1). What is i*b(d) + j*q(d)?
2*d
Let l(g) = 73*g + 5. Let m(o) = 75*o + 4. What is 3*l(p) - 4*m(p)?
-81*p - 1
Let j(w) = w**2 - 5*w + 1. Suppose 15 = 9*g - 3. Let l(u) = 0*u + g*u - 3*u. What is -j(n) + 5*l(n)?
-n**2 - 1
Let w(u) = -16*u**2 - 4*u - 1. Let j(y) = -129*y**2 - 33*y - 9. Give 4*j(g) - 33*w(g).
12*g**2 - 3
Let s(h) = 57663*h**2 - 559. Let i(m) = 620*m**2 - 6. Give 559*i(a) - 6*s(a).
602*a**2
Let r(s) = 2*s**2 + 4*s - 1. Let i(b) = -b**2 - 3*b + 29. Let q be i(-7). Let v be q*3/2*4/(-6). Let f(p) = -p. Calculate v*r(n) - 6*f(n).
-2*n**2 + 2*n + 1
Let r(y) = 7*y - 100. Let c(m) = -m - 1. What is 5*c(u) + r(u)?
2*u - 105
Let v(c) be the first derivative of 7*c**3/3 + 7*c**2/2 + 102. Let u(k) = 3*k**2 + 4*k. Determine -7*u(y) + 4*v(y).
7*y**2
Let o(w) = w**3 - w**2 - w - 1. Let z(t) = 6*t**3 - 4*t**2 - 27*t - 4. Give 4*o(k) - z(k).
-2*k**3 + 23*k
Let y(p) = -p**2. Let n(t) = 3*t**3 + 6*t**2 + 5*t. Calculate n(c) + 6*y(c).
3*c**3 + 5*c
Let h(z) = -7*z**2 + 11*z + 2. Let k(g) = -g**3 - 4*g**2 - g + 1. What is -h(n) + k(n)?
-n**3 + 3*n**2 - 12*n - 1
Suppose 3*f - 20 = -17. Let u(s) = -3*s**3 + s**2. Let o(b) = b**3. What is f*u(j) + 5*o(j)?
2*j**3 + j**2
Let t(i) = 49*i**2 - 42*i + 42. Let a(p) be the third derivative of -p**5/60 + p**4/24 - p**3/6 - 190*p**2. What is 42*a(o) + t(o)?
7*o**2
Suppose 6*x - 3 + 69 = 0. Let c(f) = -4*f + 10. Let w(k) = -7*k + 19. Determine x*c(p) + 6*w(p).
2*p + 4
Let q(h) be the second derivative of 45/2*h**2 + 0*h**4 - h - 11/4*h**5 + 15/2*h**3 + 0. Let b(u) = -5*u**3 + 4*u + 4. Give 45*b(m) - 4*q(m).
-5*m**3
Let f(j) = 201*j**3 + 4*j - 1. Let y(c) = 100*c**3 + 2*c - 1. Calculate -3*f(i) + 5*y(i).
-103*i**3 - 2*i - 2
Let c(d) = 12*d**3 + d**2. Let f(m) = -m**3. Let b(x) = 193*x - 1157. Let h be b(6). Determine h*c(r) + 6*f(r).
6*r**3 + r**2
Let w(u) = -u**2 + u + 1. Let m be (-1)/(3 - (6 + -4)). Let t(j) be the first derivative of -16*j**3/3 + 6*j**2 + 12*j + 11. Calculate m*t(y) + 12*w(y).
4*y**2
Let r(n) be the second derivative of -n**2/2 - 374*n. Let w(z) = 2*z + 2. Calculate -5*r(g) + w(g).
2*g + 7
Let v(j) = 1275*j**3 - 51*j**2 - 51*j. Let r(q) = 98*q**3 - 4*q**2 - 4*q. What is 51*r(d) - 4*v(d)?
-102*d**3
Suppose -h - 141 + 148 = 0. Let a(x) = -4*x**3 - 25*x**2 + 10. Let j(n) = 3*n**3 + 17*n**2 - 7. Determine h*j(k) + 5*a(k).
k**3 - 6*k**2 + 1
Let r(u) = u. Let p(h) = 2*h + 240. What is p(o) - 4*r(o)?
-2*o + 240
Let n(o) = 4*o. Let m(a) = 17*a. Suppose 4*x - 2*x + 5*y = 7, -y = 5*x - 6. Suppose -c - x + 3 = 0. Let f = 104 - 113. Calculate c*m(q) + f*n(q).
-2*q
Let f(o) = 16*o**3 - 9*o**2 + 4. Let v(c) = -17*c**3 + 10*c**2 - 5. Determine -5*f(h) - 4*v(h).
-12*h**3 + 5*h**2
Let z(c) = 3*c**3 + 59*c**2 + c - 6. Let s(o) = 16*o**3 + 296*o**2 + 6*o - 32. What is 2*s(w) - 11*z(w)?
-w**3 - 57*w**2 + w + 2
Let y(c) = -90*c**2 + 6*c + 6. Let u(d) = 30*d**2 - 2*d - 2. What is 10*u(w) + 3*y(w)?
30*w**2 - 2*w - 2
Let d(a) = a**2 - 4 + 1 - 1. Let u(m) = -1. Let t = -3797 + 3796. What is t*d(v) + 5*u(v)?
-v**2 - 1
Let w(x) = 12*x. Let q(b) be the first derivative of -11*b**2/2 + 9. Give -5*q(v) - 4*w(v).
7*v
Let z(u) = -u. Let k(i) = i**2 + 8*i - 15. Let o be k(-9). Let p = 7 + o. Let m(x) = -x**2 + 5*x - 2. Determine p*m(t) + 6*z(t).
-t**2 - t - 2
Let v(g) = 3*g + 4. Let z = -50 - -70. Suppose -t - t + z = -4*n, 5*n + 5*t = -25. Let h(s) = 13 + 20 - 28 + 4*s. Determine n*v(a) + 4*h(a).
a
Suppose 0*f + 3*x + 14 = f, x + 18 = 3*f. Let w(n) = -4 + f*n - 3 - 4 - 3*n**2 + 12. Let h(v) = 7*v**2 - 11*v - 3. What is -2*h(c) - 5*w(c)?
c**2 - 3*c + 1
Let x(z) = -17*z**2 - 2*z - 10. Let c(w) = 18*w**2 + 3*w + 11. Give -2*c(g) - 3*x(g).
15*g**2 + 8
Let s(o) = 3*o - 9. Let u(c) = -c + 4. Suppose -4*x = 0, 3*v = 2*v + x + 5. Give v*u(w) + 2*s(w).
w + 2
Let l(f) = 7*f. Let r(d) = 13*d. Let z(s) = 2*s**2 - 76*s + 69. Let n be z(37). What is n*l(j) + 2*r(j)?
-9*j
Let i(a) = 6*a**3 - 16*a**2 - 4*a + 8. Let y(m) = -m**3 + 2*m**2 - m - 1. Determine -i(u) - 8*y(u).
2*u**3 + 12*u
Let h = 4 - -2. Let o = 3 - h. Let t = 2132 - 2130. Let l(u) = u - 2. Let n(w) = w - 1. Determine o*n(b) + t*l(b).
-b - 1
Let i(y) = y**3 - 3*y**2 - 180*y + 3. Let t be i(15). Let g(a) = -20*a - 16. Let d(h) = -1 - 4*h + 1 - 3. Determine t*g(z) - 16*d(z).
4*z
Let v(p) = -2*p**2 - p + 2. Let l(c) be the third derivative of c**5/15 + c**4/12 - 2*c**3/3 - 137*c**2. Determine 4*l(s) + 7*v(s).
2*s**2 + s - 2
Let r be ((-22)/7)/((-14)/(-49)). Let s(w) = -6*w**3 - 4*w - 4. Let p(f) = -17*f**3 - 11*f - 11. Determine r*s(g) + 4*p(g).
-2*g**3
Let h be 0 + 3 + 24/6. Let d(k) = -7*k**2 - 6*k - 4. Suppose 5*g = 10, -2*l = l + 2*g - 16. Let z(c) = 13*c**2 + 11*c + 7. Determine h*d(r) + l*z(r).
3*r**2 + 2*r
Let c(u) = -8*u**3 - 2107 + 1050 + 1048. Let g(b) = -2*b**3 - 2. Let k(r) = -3*r + 1. Let q be k(-1). Determine q*c(l) - 18*g(l).
4*l**3
Suppose d + 5*n - 12 = 0, -3*n = -3*d - 34 + 16. Let y(l) = -l - 1. Let m(p) = -2 + 2 + 3. Give d*y(z) - m(z).
3*z
Suppose -70 = 19*i - 697. Let g(q) = 48*q - 33. Let m(u) = 6*u - 4. Calculate i*m(v) - 4*g(v).
6*v
Let z(q) = -126*q**2 - 28. Let r(k) = -23*k**2 - 5. Let a(p) = -p**2 + 6*p + 68. Let i be a(10). Determine i*r(y) - 5*z(y).
-14*y**2
Let x = -1075 + 1078. Let q(b) = 7*b**3 - 3*b + 3. Let g(w) =