- 15. Let b(s) = -5*s**2 - 6*s + 7. Calculate v*b(w) + 6*z(w).
w**2 + 1
Let s(j) = -4*j**3 + 6*j**2 - 4*j. Let n(g) = -g**3 + g**2 - g. Let d(y) = 5*n(y) - s(y). Let i(a) = 7*a**3 + 6*a**2 + 6*a - 1. Calculate 6*d(z) + i(z).
z**3 - 1
Let j(z) = z**3 - 5*z**2 + 4*z + 2. Let g(f) = 2*f**2 - 2*f - 1. Determine 5*g(v) + 2*j(v).
2*v**3 - 2*v - 1
Let r be -2 - -8 - (1 + -4). Let s(p) = -p + 2. Suppose 5 = 4*i + 21. Let y(m) = -2*m + 4. Determine i*y(k) + r*s(k).
-k + 2
Let x(l) = -2*l. Let p(h) = h + 5. Let u be p(-11). Let r = 0 - -2. Let t(w) = -r*w + 2*w + w. Determine u*x(d) - 13*t(d).
-d
Let a(u) = 14*u - 8. Let p(x) = -5*x + 3. What is 4*a(n) + 11*p(n)?
n + 1
Let u(p) = 13*p**3 + 13*p**2 + p - 7. Let r(h) = -h + 1. Let l(o) = -9*o**3 - 9*o**2 - 4*o + 8. Let i(s) = -l(s) + 3*r(s). Determine 7*i(d) - 5*u(d).
-2*d**3 - 2*d**2 + 2*d
Let r(v) be the third derivative of -v**4/12 - v**3/6 - 10*v**2. Let t(g) = 6*g + 3. Give 7*r(w) + 2*t(w).
-2*w - 1
Let f(s) = -7*s - 5. Let r(u) = -3*u - 3. Determine 3*f(d) - 5*r(d).
-6*d
Let b(z) = -1. Let n(k) = -k - 1. Give -4*b(q) + 2*n(q).
-2*q + 2
Let s(m) = m**3 + m. Let l(c) = -3*c**3 + 10*c**2. What is l(u) + s(u)?
-2*u**3 + 10*u**2 + u
Let v(c) be the second derivative of -5*c**4/12 - 9*c. Let a(m) = -6*m**2 + m. Calculate -2*a(n) + 3*v(n).
-3*n**2 - 2*n
Let y(r) = r. Let n(g) = 41*g. What is -n(f) - 6*y(f)?
-47*f
Let m(s) = -3*s - 4. Let b(t) = 2. Let q(r) = 5. Let i(a) = 2*b(a) - q(a). What is -6*i(u) + m(u)?
-3*u + 2
Let x(q) = 3*q - 1. Let r(g) = 16*g - 4. Determine 2*r(y) - 11*x(y).
-y + 3
Let n(u) = -u. Let l(m) = m**2 + 6*m - 1. Let r be l(-6). Let k(j) = -2*j**2 - 3*j + 1. What is r*k(w) + 3*n(w)?
2*w**2 - 1
Let z(m) = -110*m + 109*m + 1 - 1. Let q(s) = 2*s**2 + 3*s + 1. Calculate -q(r) - 3*z(r).
-2*r**2 - 1
Let h(i) = -7*i**2 + 5*i - 2. Let t(w) = -w**2 + w. Suppose -7*p + 35 = -0*p. What is p*t(n) - h(n)?
2*n**2 + 2
Let g(n) = -23*n**3 - 3*n**2 + 4*n - 2. Let k(s) = 116*s**3 + 16*s**2 - 21*s + 11. Give 11*g(b) + 2*k(b).
-21*b**3 - b**2 + 2*b
Let i be (3 + -11)*(-2)/4. Let q(r) = -r - 5. Let o(j) be the first derivative of j**2 + 11*j - 18. Calculate i*o(g) + 9*q(g).
-g - 1
Let u be (-8)/(-10)*(-15)/(-6). Let i(l) = -3 + u - 3*l + 2 + 2*l. Let k(r) = 5*r - 5. Give -3*i(t) - k(t).
-2*t + 2
Let g(t) = -2*t**2 + 4. Suppose 3*p + 4 - 19 = 0. Let k(l) = -1 + 3*l - 1 - 3*l + l**2. Determine p*k(u) + 2*g(u).
u**2 - 2
Suppose 2*d = 4 + 2. Suppose d*a - 4 = -a. Let o(q) = q - 1. Let g(m) = 17*m - 12. Let c(b) = -8*b + 6. Let l(v) = -7*c(v) - 3*g(v). What is a*l(z) - 6*o(z)?
-z
Let i(b) = 5*b**2 + 3*b - 9. Let c(d) = -3*d**2 - 2*d + 5. What is 7*c(u) + 4*i(u)?
-u**2 - 2*u - 1
Let u(l) = -l**3 + 2*l**2 + 7. Let x(v) = -v**3 + 1. Give -u(h) + 6*x(h).
-5*h**3 - 2*h**2 - 1
Let i(t) = -13*t**2 - 9*t + 7. Let u(k) = 3*k**2 + 2*k - 2. Determine 2*i(y) + 9*u(y).
y**2 - 4
Let x(k) = -9*k + 2*k**3 + 2*k + 9*k. Let y(c) = -8*c**3 + 4*c + 6. Let o(v) = 17*v**3 - 9*v - 13. Let m(p) = -6*o(p) - 13*y(p). What is 4*m(a) - 5*x(a)?
-2*a**3 - 2*a
Let q(d) be the second derivative of d**4/6 - d**3/6 - 28*d. Suppose -2*l + 20 = j - 3*j, -5 = 5*l. Let a(t) = -t**3 - 11*t**2 + 5*t. Determine j*q(x) - 2*a(x).
2*x**3 + x
Let q(o) = -o**2 + o - 1. Let u(k) = 9*k**2 - 12*k + 12. Let c(f) = -f**3 - f - 12. Let v be c(0). What is v*q(p) - u(p)?
3*p**2
Let l(r) = r - 5*r + 1 + 3*r. Let s(i) = i**3 - 4*i + 4. Suppose c + 0 = 1. Give c*s(m) - 4*l(m).
m**3
Let u(r) be the second derivative of r**3/6 + r**2/2 + 43*r. Let c(h) = -2*h**2 - 2*h - 2. Give -2*c(j) - 4*u(j).
4*j**2
Let z(o) = -o**2 - o + 1. Let b(a) = -5*a**2 - 5*a + 4. Suppose -c + 4 - 6 = 0. Give c*b(l) + 9*z(l).
l**2 + l + 1
Let v(j) = -j + 7. Suppose -3 = -k + 6. Let f be v(k). Let s(w) = -3*w + 9. Let a(c) = -c + 4. Calculate f*s(g) + 5*a(g).
g + 2
Let v(g) = -g**2 + g + 1. Let d(j) = j + 6. Let n be d(-4). Let r(a) = -6*a**2 - a - 1. Let m(p) = -3*p**2. Let q(k) = 5*m(k) - 2*r(k). Give n*v(t) - q(t).
t**2
Let v(l) = l**2 + l. Suppose -3*k = 5*t + 8, -2*k + 3*k = -3*t. Let p(x) = x**3 - 6*x**2 - 6*x + 2. Give k*v(j) - p(j).
-j**3 - 2
Let o(n) = -13*n + 1. Let u(y) = 14*y - 1. Determine 7*o(x) + 6*u(x).
-7*x + 1
Let v(p) = p**2 + 7. Let t(h) = -h**2 - 8. Let r be (2/(-3))/(2/18). Suppose 3*j - 9 = -0. Suppose -3*m - 4 = 2*d, m + j = d - 2*d. What is d*t(s) + r*v(s)?
-s**2 - 2
Let t(o) = -o - 1. Let p = 5 - 3. Let q(s) = 3*s - p*s + 1 + 3*s. Determine q(m) + 2*t(m).
2*m - 1
Let k(l) = -l. Let a(c) = -c - 1. Determine a(j) + 3*k(j).
-4*j - 1
Let b(t) = -1. Let l(n) = n + 10. Give -14*b(m) - 2*l(m).
-2*m - 6
Let p(s) = 32*s + 6. Let z(i) = 1. Calculate -p(b) + 5*z(b).
-32*b - 1
Suppose 3*w + 2*w = -25, -4*d + 3*w + 35 = 0. Let a(m) = -6*m - 7. Let o(l) = -7*l - 8. Calculate d*o(z) - 6*a(z).
z + 2
Let f(h) = -h**2 - 3*h - 3. Let z(r) = r**2 + 7*r + 7. What is -7*f(c) - 3*z(c)?
4*c**2
Let f(h) = 3*h**2 + 4*h - 4. Let l(r) = 12*r**2 + 15*r - 15. Let o be (-184)/48 + (-3 + 1)/12. Calculate o*l(w) + 15*f(w).
-3*w**2
Let l(o) be the third derivative of -o**5/30 - 3*o**4/8 - 2*o**3/3 - 2*o**2. Let w(c) = c**2 + 5*c + 2. Give 3*l(s) + 5*w(s).
-s**2 - 2*s - 2
Let l(s) = 5*s**3 - 4*s**2 - 7. Let g = 6 - 5. Let f(u) = -u**3 + u**2 + 1. Give g*l(x) + 4*f(x).
x**3 - 3
Let s(q) = -2 - 3 + 2 - 2*q. Let x(g) be the first derivative of -11*g**2/2 - 17*g + 2. Give -34*s(d) + 6*x(d).
2*d
Let m(o) = 6*o**2 - 5. Let c(z) = -z**3 + 3*z**2 + 5*z. Let d be c(4). Let r(f) = 13*f**2 - 11. Determine d*r(p) - 9*m(p).
-2*p**2 + 1
Let l(a) = -6*a**3 - 5*a**2 - 5*a + 4. Let m(q) = -5*q**3 - 4*q**2 - 4*q + 3. Let r be (-2 - -3)/((-1)/5). Determine r*m(t) + 4*l(t).
t**3 + 1
Let n(h) = -h. Let x(p) = 40*p. What is -80*n(c) - x(c)?
40*c
Let l(n) = 2*n + 1. Let f(x) = 8*x + 5. Let g(y) = -y**2 + 3. Let q be g(3). Let w = q + 8. What is w*f(h) - 9*l(h)?
-2*h + 1
Let u(x) = 3*x**2 + 7*x + 4. Let c(h) = 3*h**2 + 6*h + 4. Calculate 7*c(m) - 6*u(m).
3*m**2 + 4
Let b(y) = 2*y**2 - 2*y - 2. Let x be (-16)/(-3) - (-3)/(-9). Let c(k) = 3*k**2 - 3*k - 3. Give x*b(i) - 3*c(i).
i**2 - i - 1
Let h(j) = j**2 + 19*j - 36. Let p be h(-21). Let k(v) = v**2 - 8*v - 6. Let r(o) = -o - 1. Calculate p*r(i) - k(i).
-i**2 + 2*i
Let o(x) = -24*x**2 + x - 2. Let a(m) = -m**2 + m. What is 3*a(g) - o(g)?
21*g**2 + 2*g + 2
Let i(q) = -15*q + 12. Let t = 23 - 11. Let f(m) = 6*m - 5. Calculate t*f(d) + 5*i(d).
-3*d
Let p be 42/(-15)*5/(-1). Let c(i) = -8*i**2 + 6*i - 6. Let m(a) = 3*a**2 - 2*a + 2. Give p*m(o) + 5*c(o).
2*o**2 + 2*o - 2
Let f(u) = -u**3 + u**2 + u + 1. Let x(h) = -6*h**3 + 3*h + 6. Determine 3*f(r) - x(r).
3*r**3 + 3*r**2 - 3
Let h(z) = -4*z. Let r(i) = -9*i**2 - 64*i - 8. Let n be r(-7). Let y(l) = l + 1. Give n*h(a) - 2*y(a).
2*a - 2
Let k = 11 - 9. Let g(d) = d**2 + 1. Let a(n) = -2 - 4 - 4*n**2 - n + 4 + 2*n**2. Determine k*a(r) + 3*g(r).
-r**2 - 2*r - 1
Let u be 16/(-6) + 4/6. Let q(o) = 4. Let n(b) = b + 21. Let f(i) = u*n(i) + 11*q(i). Let h(m) = 5*m - 4. Determine -7*f(s) - 3*h(s).
-s - 2
Let v(h) = 3*h**3 + 2*h**2 + 2*h - 2. Suppose 0 = 4*t - 2*t - 12. Let m = 3 - t. Let y(z) = -4*z**3 - 3*z**2 - 3*z + 3. Determine m*v(d) - 2*y(d).
-d**3
Let r(c) = 4*c**3 + 13*c**2 - 9*c - 13. Suppose -b + 44 = -3*b + 4*m, -4*m = -4*b - 96. Let x(o) = o**3 + 3*o**2 - 2*o - 3. Give b*x(l) + 6*r(l).
-2*l**3 - 2*l
Let k(v) = -3*v. Suppose -44 = -5*x - 14. Let w be k(x). Let c(q) = -q**2 - 2*q. Let l(a) = -9*a + a**2 - a**2 - 4*a**2. What is w*c(z) + 4*l(z)?
2*z**2
Let s(l) = l + 1. Let p(t) = t + 2. Suppose 4*y - 450 + 10 = 0. Let u be (y/(-33))/((-2)/3). Determine u*s(z) - 3*p(z).
2*z - 1
Let h(g) = g**2 + 7*g + 14. Let s(f) = f**2 + 5*f + 9. What is 5*h(r) - 8*s(r)?
-3*r**2 - 5*r - 2
Let g(f) be the third derivative of f**5/60 - f**4/12 + f**2. Let m(j) be the third derivative of j**5/20 - 5*j**4/24 + 2*j**2. Calculate -10*g(w) + 4*m(w).
2*w**2
Let z(n) = 10*n**3 - 11*n**2 + 6*n + 11. Let y(o) = -3*o**3 + 4*o**2 - 2*o - 4. Determine 11*y(t) + 4*z(t).
7*t**3 + 2*t
Let c(w) = 7*w**2 - 5*w. Let a(r) = 10*r**2 - 7*r. Suppose 2*g = -2*b - 24, -2*g = -2*b + 3*g + 11. Give b*c(x) + 5*a(x).
x**2
Let c(r) = -6*r**2 - 6. Let g(j) = 13*j**2 + 13. What is 9*c(t) + 4*g(t)?
-2*t**2 - 2
Let c(u) = u**3 + 7*u**2 - u + 2. Let t be c(-7). Let v(n) =