t t(a) = -44*a**3 + 5*a + 5. Determine -7*t(f) - 5*u(f).
-22*f**3
Let x(p) = -64*p**2 + 16*p + 16. Let y(m) = 13*m**2 - 3*m - 3. Calculate -3*x(f) - 16*y(f).
-16*f**2
Suppose 41 = 3*d + 23. Let g(j) = 9*j + 9. Let u(l) be the second derivative of 5*l**3/6 + 5*l**2/2 + l. What is d*g(w) - 11*u(w)?
-w - 1
Let m(o) = -o + 7. Let d(v) = v - 6. Calculate -6*d(j) - 5*m(j).
-j + 1
Let l(x) = 37*x - 13. Let o(j) = -19*j + 6. Determine -6*l(t) - 13*o(t).
25*t
Let q(y) = -y**2 - 5*y - 3. Let l be q(-5). Let p(c) = -c**2 + 3*c. Let s(r) = 271*r - 135*r - 3*r**2 - 128*r. What is l*s(i) + 8*p(i)?
i**2
Let d(q) = 3. Let b be 3/2*(-2)/(-3). Let k(j) = -j - 1. Give b*d(u) + 2*k(u).
-2*u + 1
Let p(u) be the second derivative of u**3/2 + 9*u**2/2 + 61*u. Suppose 16 + 4 = -4*s. Let b(i) = -i - 4. Calculate s*b(l) - 2*p(l).
-l + 2
Let n(d) = 1. Suppose 2*i - 14 = -3*b, -5 - 3 = -2*b. Let k(q) = q + 85 - 170 + 79. Give i*k(s) + 6*n(s).
s
Let y(l) = l**2 - 1. Let k(i) = -i**2 - 7*i + 3. Let h be k(-8). Let a(t) = -7*t**2 + t + 5. Give h*y(q) - a(q).
2*q**2 - q
Let m(y) = -4*y**2 + 3*y + 3. Suppose 0 = -2*j - j - 3. Let u = j + 3. Let b(v) = 5 - 6*v**u + 4*v + v - v**2. Give -6*b(f) + 10*m(f).
2*f**2
Let v(z) = -11328*z**2 + 288. Let a(i) = 197*i**2 - 5. Calculate 288*a(n) + 5*v(n).
96*n**2
Let y(x) = -7*x - 9. Let k(p) = -7*p - 10. Let a be 8/(-3)*3/2. Let w(b) = a*y(b) + 3*k(b). Let f(q) = 8*q + 7. Suppose -4 - 2 = -z. Determine z*w(o) - 5*f(o).
2*o + 1
Let n be (-12)/(-30) - (-24)/15. Let g(o) = o**3 + o**2 - 3*o. Let d(l) = -l**3 + l. What is n*g(i) + 6*d(i)?
-4*i**3 + 2*i**2
Let j(k) = 13*k**3 - 3*k**2 - 5*k + 9. Let a(d) = 6*d**3 - 2*d**2 - 2*d + 4. Determine 9*a(p) - 4*j(p).
2*p**3 - 6*p**2 + 2*p
Suppose 5*t + 2 = -3. Let i(h) = -5*h + 6*h + 1 - 11*h**2 - h**3 + 10*h**2. Let j(g) = -g**3 - 3*g**2 + 4*g + 3. What is t*j(s) + 3*i(s)?
-2*s**3 - s
Let n(f) = f - 4*f + f**3 - f**2 + 2*f - 1. Let l(w) be the third derivative of w**6/20 - w**5/15 - w**4/6 - 5*w**3/6 - 20*w**2. Calculate -l(v) + 4*n(v).
-2*v**3 + 1
Let x(v) = -v. Let r(u) = 6*u + 4. Let b(p) = 13*p + 9. Let g(o) = 4*b(o) - 9*r(o). Calculate -2*g(f) + 3*x(f).
f
Let n(t) = t - 1. Suppose 5*l = 3*v - 8, 4*v - 5 + 1 = 0. Let h(k) be the third derivative of -k**5/60 - k**4/6 - 2*k**2. Determine l*h(i) - 2*n(i).
i**2 + 2*i + 2
Let i(w) = -w**3 + 11*w**2. Suppose -3*b + 4 = -2. Suppose 0 = 8*v - 3*v - 55. Let r(n) = -2*n**2. Determine b*i(z) + v*r(z).
-2*z**3
Let b(r) = -19*r + 2. Suppose 9 - 3 = -z. Let m(w) = -9*w + 1. What is z*b(u) + 13*m(u)?
-3*u + 1
Let w(d) = 2*d + 6. Let m(r) = -1. Let h(x) = x**2 - x + 2. Let y be h(0). Let b be y*(10/(-4) + 2). What is b*w(z) - 6*m(z)?
-2*z
Let a(i) = -2*i**3 + 38*i**2 - 2*i + 2. Let j(k) = -4*k**3 + 76*k**2 - 5*k + 5. Give -5*a(x) + 2*j(x).
2*x**3 - 38*x**2
Let x(z) = 2*z + 3. Let p(b) = 4*b + 5. Calculate -6*p(s) + 11*x(s).
-2*s + 3
Let a(b) = b**2 - 2*b. Let r be a(1). Let o(t) = 3*t**3 + t**2 - 2*t - 2. Let n(x) = x**3 - x - 1. Give r*o(h) + 2*n(h).
-h**3 - h**2
Let s(l) = 9*l + 10. Let j(c) = 7 + 11*c + 0*c - 2 - 6*c. Calculate -11*j(v) + 6*s(v).
-v + 5
Let j(w) be the first derivative of 10*w**3/3 + 8*w**2 - 1. Let r be (-6 + 7)/((-1)/5). Let l(h) = 3*h**2 + 5*h. What is r*j(q) + 16*l(q)?
-2*q**2
Let t(s) = 2*s + 4. Let n(c) = c. Let r(z) = -4*z - 3. Let l(v) = -2*n(v) - r(v). Determine 5*l(w) - 4*t(w).
2*w - 1
Let b(y) = 5*y - 1. Let x(g) = -12 + 29 - 11 + 6*g - 7. Determine 4*b(v) - 3*x(v).
2*v - 1
Let g(l) = 6*l**2 + 2*l + 8. Suppose 0 = -m - 3*y + 9, 0 = -5*m - 4*y - 3 - 7. Let o(i) = 5*i**2 + 2*i + 7. Give m*g(s) + 7*o(s).
-s**2 + 2*s + 1
Let c(y) = -6*y - 8. Let v(m) = m + 1. Give c(l) + 4*v(l).
-2*l - 4
Let g(b) = -b**3 - 5*b**2 + 3*b + 3. Let m(h) = h**2 + h + 1. Calculate g(k) - 3*m(k).
-k**3 - 8*k**2
Let r(p) = -20*p**2 + 30*p - 8. Let h(u) = -7*u**2 + 10*u - 3. What is 17*h(z) - 6*r(z)?
z**2 - 10*z - 3
Let m(n) = 2*n**2 + 8*n. Let w(o) = -o**2 - 5*o. Suppose 5*z = 4*c - 11, -z + 3*c - 15 = -c. Suppose -39 = -5*x + z. What is x*w(i) + 5*m(i)?
2*i**2
Suppose 8*v - 60 = 20*v. Let q(d) = -7*d**2 - d. Let k(f) = 3*f**2. Calculate v*k(r) - 2*q(r).
-r**2 + 2*r
Let k(u) = -3*u. Let w be k(-7). Suppose w = 4*d + 3*f + 58, 2*d = 3*f - 5. Let o(x) = x + 1. Let t(z) = -3*z - 3. What is d*o(h) - 3*t(h)?
2*h + 2
Let b(u) = u**3 + 2*u**2 + 2*u + 1. Let n(x) = 13*x - 5*x - 9*x. Give -b(t) - 2*n(t).
-t**3 - 2*t**2 - 1
Let u(c) = -c. Let y(l) = -20*l. Give -100*u(m) + 4*y(m).
20*m
Let m(g) be the third derivative of 1/24*g**4 + 0*g + 1/6*g**3 + 2*g**2 + 0. Let s(y) = 2*y + 3. What is 4*m(k) - s(k)?
2*k + 1
Let y(p) = -6*p**3 - 2*p**2 + 8*p - 27. Let f(s) = 2*s**3 + s**2 - 3*s + 9. What is 8*f(x) + 3*y(x)?
-2*x**3 + 2*x**2 - 9
Let h(t) = 2*t**2 + 5. Let y(b) = 3*b**2 + 6. Suppose 4 = 4*g + v + 23, 3*v = 3*g + 33. What is g*h(q) + 5*y(q)?
3*q**2
Let v(f) = 2*f**2 - 29*f - 5. Let m(q) = -q**2 + 15*q + 3. Calculate 7*m(c) + 4*v(c).
c**2 - 11*c + 1
Let n(c) be the first derivative of -c**5/24 + c**4/24 - 2*c**3 + 2. Let m(j) be the third derivative of n(j). Let b(a) = -a. Give -4*b(k) + m(k).
-k + 1
Let p(j) = 10*j + 16. Let c(h) = -3*h - 5. Calculate -11*c(n) - 4*p(n).
-7*n - 9
Let l(s) = -2*s + 4. Suppose 3*w = 5*h - 65, -8*h + w = -3*h - 65. Let u(v) = v - 2. What is h*u(z) + 6*l(z)?
z - 2
Let p(r) = -6*r**3 - 6*r**2 + 4*r + 4. Let u(l) = -7*l**3 - 7*l**2 + 5*l + 5. What is -5*p(c) + 4*u(c)?
2*c**3 + 2*c**2
Let d(g) = g. Let p be ((-21)/(-12) - 1)*-20. Let x(h) = -6*h. Give p*d(o) - 2*x(o).
-3*o
Let c(l) = -2*l - 5. Let z(i) = 2*i + 6. Suppose 8 = -a - 4*b, 2*b + 6 = 4*a + 20. Calculate a*z(n) - 5*c(n).
2*n + 1
Suppose f - 5 = -2*s, 19 = 4*s + 4*f + f. Let a(t) = -3*t + 1. Let b be a(1). Let k(m) = -m**3. Let z(c) = -4*c**3. Give b*k(y) + s*z(y).
-2*y**3
Let v be 3/((-3)/6 + 2) + 1. Let a(o) be the first derivative of o**2/2 + o + 1. Let n(j) = -j**2 + 3*j + 3. Calculate v*a(h) - n(h).
h**2
Let f(l) = -3*l**2 + 2*l + 2. Let h be f(2). Let y(v) = 2*v**2 - 3 + 4 + 6*v**2 + 6*v - 7. Let r(j) = -23*j**2 - 17*j + 17. Give h*r(q) - 17*y(q).
2*q**2
Let u(x) = -x**2 - 1. Let k(t) = -3*t**2 + t - 2. Let m be 6*((-4)/(-3) + -1). Suppose -3*q + 11 = 2. Suppose -3 = -0*y + q*y. Give m*u(v) + y*k(v).
v**2 - v
Let i(m) = m - 1. Let g(b) = 12*b - 5. Give -g(n) + 6*i(n).
-6*n - 1
Let d = -3 - 6. Let r(y) = -3*y**2 + 2*y - 1. Let k be 8 - (-2)/((-2)/1). Let f(b) = 2 + 13*b**2 - b + 2 - k*b. What is d*r(m) - 2*f(m)?
m**2 - 2*m + 1
Let o(s) = -3*s + 6. Let t(x) = -2*x + 5. Let m = 32 - 28. What is m*t(n) - 3*o(n)?
n + 2
Let k(l) = 3*l + 4. Let n(j) = -j + 1. Give -k(t) + 2*n(t).
-5*t - 2
Let z(n) = -5*n + 2. Let b(u) = -6*u + 1. Give -4*b(o) + 3*z(o).
9*o + 2
Let t(m) = 1. Let j(u) be the second derivative of -u**4/6 + u**3/6 - 5*u**2/2 - 2*u. Let x be 4/(-2) - -2 - 5. Give x*t(n) - j(n).
2*n**2 - n
Let q(y) = -2*y + 2. Let d(r) = -4*r + 5. Let v be (-9)/2 + 4/(-8). Calculate v*q(g) + 2*d(g).
2*g
Let a be 3/(6/4) - 1. Let y(v) = v**2 - 1. Let n(l) = l**3 + 7*l**2 + l - 6. Determine a*n(g) - 6*y(g).
g**3 + g**2 + g
Let u(j) be the third derivative of -j**4/24 + 2*j**2. Let d(m) = 21*m. Suppose -93 = -5*l - p, 5*p - 3 = 12. Calculate l*u(z) + d(z).
3*z
Let y be 4 + (-36)/8 - 27/(-6). Let m(o) = 3*o**3 + 7*o**2 + 9*o. Let s(w) = -2*w**3 - 4*w**2 - 5*w. Determine y*m(u) + 7*s(u).
-2*u**3 + u
Let p(l) = -2 - 3*l**3 + 0 + 1. Let a(o) = -o**3 - 1. Let v = -2 - -4. Suppose 2 = -v*w + w. Calculate w*a(q) + p(q).
-q**3 + 1
Let y(w) be the second derivative of -w**2/2 - 11*w. Let j(a) = a**3 - 6*a**2 + 5*a + 2. Let g be j(5). Let i(f) = -f - 4. What is g*y(s) - i(s)?
s + 2
Let l(j) = -13*j - 3. Let r(a) = 6*a - 11. Let z(c) = 6*c - 13. Let u(n) = -7*r(n) + 6*z(n). Determine -2*l(v) + 5*u(v).
-4*v + 1
Let k(o) = -5*o - 9. Let y(m) = m + 1. What is k(l) + 3*y(l)?
-2*l - 6
Let h = 2 - -7. Suppose -2*v + h = -1, v = 3*u + 59. Let w be ((-2)/(-4))/((-3)/u). Let g(l) = -l. Let k(y) = -y**3 - 2*y. Calculate w*g(o) - k(o).
o**3 - o
Let i(p) = p**2 - p - 1. Let f(u) = u. Let q(o) = -f(o) - i(o). Let y(x) = -5*x**2 + 4. Let d = -122 + 212. Suppose d = -m - 4*m. Determine m*q(l) + 4*y(l).
-2*l**2 - 2
Let p(k) = -k**2 - k + 1. Let w(h) = 5*h**2 + 4*h - 5. Suppose 5*a + 3*y + 8 = 0, 5*a + 0*y + 4*y + 9 =