7. Let q(a) = 12*p(a) + 5*z(a). Determine j*d(s) + 4*q(s).
s + 1
Let h(w) = -w**2 - w - 1. Suppose -3*u = -1 + 16. Let k = -3 - -7. Let g(d) = -k*d - 2*d - 3*d**2 + 1 - 5. Give u*h(y) + g(y).
2*y**2 - y + 1
Let b(g) = 9*g - 11. Suppose -7*x + 0*x - 49 = 0. Let z(u) = 5*u - 6. Determine x*z(k) + 4*b(k).
k - 2
Let r(v) = v + 2. Let y(l) = 2*l + 3. Suppose 28 = -4*c - 4*i, 2*i = -4*c - 29 + 9. Give c*y(j) + 5*r(j).
-j + 1
Let l(z) = -2*z**2 + 2*z + 2. Suppose 0 = -2*b + 8, 3*b - 8*b = 5*n - 30. Let g(x) = 0*x**2 + x**2 - 2*x**n + 2*x**2. Determine -3*g(y) - l(y).
-y**2 - 2*y - 2
Let m(p) = 10*p**3 + 31*p**2. Let y(x) = -7*x**3 - 21*x**2. Determine -5*m(w) - 7*y(w).
-w**3 - 8*w**2
Let o be 0 - (-1 + 0 + -14). Suppose -5*y - 4*i - 15 = -7*i, o = -5*y - i. Let u = -5 - y. Let f(z) = 8*z - 5. Let j(k) = 2*k - 1. Calculate u*f(b) + 9*j(b).
2*b + 1
Let b(z) = 2*z**3 - 20*z**2 - 8*z + 21. Let w(o) = o**3 - 7*o**2 - 3*o + 7. Calculate -3*b(y) + 8*w(y).
2*y**3 + 4*y**2 - 7
Let p(l) = -4*l**3 + 3*l + 2. Let t be 3 + -3 - (0 + 6). Let o(x) = -6*x**3 + 2*x**3 + 4 - 3*x**3 + 7*x - 2*x**3. Calculate t*o(j) + 13*p(j).
2*j**3 - 3*j + 2
Let s(c) = 2*c**3 + c**2 + c + 1. Let a be s(-1). Let u(h) = h**2 - h. Let x(v) = -v**2 + 2*v. Determine a*x(g) - 3*u(g).
-2*g**2 + g
Let t(c) = 18*c**2. Let g(j) = 54*j**2. What is -3*g(i) + 10*t(i)?
18*i**2
Let x(q) = -2*q**2 + 3*q - 6. Let z(j) = -j - 14. Let l be z(-11). Let i(a) = 5*a**2 - 8*a + 17. Give l*i(f) - 8*x(f).
f**2 - 3
Let h(o) = -1. Let f(a) = 35*a + 1. What is -f(l) - 2*h(l)?
-35*l + 1
Let h(n) be the second derivative of -n**4/12 + n**3/3 - n**2 - 2*n. Let c(t) = -5*t**2 + 10*t - 10. Let v be (-4)/10 + (-212)/20. What is v*h(q) + 2*c(q)?
q**2 - 2*q + 2
Let i(d) = -d**2 + 4*d - 6. Let k(v) = -v**2 + 3*v - 5. Suppose 4 + 8 = -2*c. What is c*k(b) + 5*i(b)?
b**2 + 2*b
Let o(u) = -u + 5. Let a(q) = -q + 1. Give 2*a(v) - o(v).
-v - 3
Let x(s) = -6*s. Let j(y) = -y. What is 2*j(q) - x(q)?
4*q
Let s(m) = 7*m - 14. Let l(q) = 29*q - 56. What is -2*l(i) + 9*s(i)?
5*i - 14
Let n(u) = 11*u**2 - 6*u. Suppose 21*p = 10*p + 66. Let g(z) = 10*z**2 - 5*z. Calculate p*g(q) - 5*n(q).
5*q**2
Suppose -5*f + x - 7 = -0*f, -5*f - 3*x = -1. Let o(s) = 5*s**3 - 2*s - 6. Let v(g) = -g**3 + 1. Determine f*o(u) - 6*v(u).
u**3 + 2*u
Let j(n) = -17*n + 14. Let k(l) = 6*l - 5. Give 4*j(u) + 11*k(u).
-2*u + 1
Let g be ((-4)/(-12))/(5/30). Let h(a) = a**2 - 4*a + 1. Let t(r) = 2*r**2 - 5*r + 2. Calculate g*t(v) - 3*h(v).
v**2 + 2*v + 1
Let k(z) = -2*z**2 + 2*z - 7. Let f(t) = 5*t**2 - 2*t - 1. Let p be f(-1). Let m be (2/p)/((-3)/45). Let b(c) = -2*c**2 + 2*c - 6. Give m*k(a) + 6*b(a).
-2*a**2 + 2*a - 1
Let i(j) = -4*j - 7. Let u = 18 + -9. Let h = u + -15. Let b(y) = -5*y - 8. Give h*i(z) + 5*b(z).
-z + 2
Let b(q) = 2*q - 3. Let s(g) = g - 1. Let y(v) = -v**3 + 7*v**2 - 6*v - 1. Let t = 4 - -2. Let u be y(t). What is u*b(n) + 3*s(n)?
n
Let n = 15 + -6. Let w = n + -20. Let g(c) = 9*c**2 - 11. Let b(y) = 5*y**2 - 4 - 1 - 1. Calculate w*b(f) + 6*g(f).
-f**2
Let y(b) = 7*b + 20. Let m(l) = -6*l - 19. Calculate 5*m(p) + 4*y(p).
-2*p - 15
Let h be ((-1)/2)/((-3)/24). Let j be (-1 - -2)*(-3)/(-3). Let u(f) = j + h - 4. Let g(x) = -x + 4. What is -g(d) + 4*u(d)?
d
Let m(o) be the first derivative of 5/2*o**2 - o**4 + 5/3*o**3 - 1 + 0*o. Let g(a) = a**3 - a**2 - a. Determine -10*g(k) - 2*m(k).
-2*k**3
Let g(r) = 2*r**2 + 3*r + 4. Let y(f) = f**2 + 2*f + 3. Let w be 3*-1*(1 + 0). Let l(h) = -h**3 + 2. Let q be l(0). Determine q*g(n) + w*y(n).
n**2 - 1
Let o(n) = 17*n - 7. Let g(j) = j - 1. What is 14*g(k) - 2*o(k)?
-20*k
Let c(w) = 4*w**3 - 7*w + 5. Let x(h) = -h**3 + h - 1. Let b(i) = -i**2 - i + 1. Let a be b(-3). Give a*x(m) - c(m).
m**3 + 2*m
Let a(u) = -2*u**2 + 8*u - 6. Let w(y) = -y + 1. Calculate a(z) + 6*w(z).
-2*z**2 + 2*z
Let v(y) = -y. Let x(c) = 3*c**2 - c + 2. Determine -3*v(d) + x(d).
3*d**2 + 2*d + 2
Let m(p) = 6*p**3 - 6*p**2 - 2*p. Suppose 2*i + 4*t = 0, -3*i + 8 = -7*i - 4*t. Let r(o) = -11*o**2 + 11*o**3 + 838*o - 422*o - 419*o. What is i*r(y) + 7*m(y)?
-2*y**3 + 2*y**2 - 2*y
Let s(u) = 6*u**2 + 2*u - 22. Let w(y) = 7*y**2 + 3*y - 21. Calculate -5*s(v) + 4*w(v).
-2*v**2 + 2*v + 26
Let k(j) = -319*j**3 - 29*j**2 + 29*j. Let q(z) = 64*z**3 + 6*z**2 - 6*z. Give 6*k(x) + 29*q(x).
-58*x**3
Suppose -5*w + 236 = 221. Let p(d) = d. Let z(y) = 4*y. Give w*z(u) - 8*p(u).
4*u
Suppose 4*g = 13 - 1. Suppose -4*m = -12, -3*x - 4*m = -21 - g. Let l(r) = 2*r**3 + 4. Let h(j) = -1. Give x*h(b) + l(b).
2*b**3
Let p(m) = 2*m. Let v be p(-2). Let l(o) = -1. Let z(n) = 2*n - 3. Determine v*l(w) + z(w).
2*w + 1
Let l(m) = -2*m. Let f(b) = 15*b. What is -2*f(s) - 10*l(s)?
-10*s
Let o(x) = 3*x**3 - x**2 + 2. Let r(c) = c**3. Suppose 0 = -2*q + i - 15, q + 11 = -2*i - 9. Let b be ((-4)/q)/((-14)/(-35)). What is b*o(w) - 5*r(w)?
-2*w**3 - w**2 + 2
Let z(v) be the third derivative of -3*v**4/8 + 5*v**3/6 + v**2. Let p be (0 - 34/7) + (-220)/1540. Let o(u) = 14*u - 8. Determine p*o(m) - 8*z(m).
2*m
Let a(q) = -61*q**2 - 3*q + 9. Let j(f) = 30*f**2 + f - 4. Calculate -3*a(k) - 7*j(k).
-27*k**2 + 2*k + 1
Let x(h) be the second derivative of h**4/12 + h**3/6 - h**2/2 + 21*h - 4. Suppose 0 = -2*v + 8. Let p(j) = 3*j**3 + 4*j**2 + 4*j - 3. What is v*x(m) - p(m)?
-3*m**3 - 1
Let o(g) = g**2. Let q(l) = -12*l**3 + 12*l**2. Determine -12*o(u) + q(u).
-12*u**3
Let y(s) = -s**3 + 5*s**2 - 5*s + 9. Let z(v) = 2 - v**2 + 0*v**2 + 12*v - 13*v + 2*v**2. Determine 2*y(r) - 9*z(r).
-2*r**3 + r**2 - r
Let h(o) = -3*o**2 + 2*o - 2. Let v(c) be the second derivative of -c**4 + 3*c**3/2 - 9*c**2/2 + 27*c. Give 9*h(q) - 2*v(q).
-3*q**2
Let l(k) = 5 - 8*k**3 + 7*k**3 - 3*k - k**2 + 8*k. Let u(g) = -g**3 - g**2 + 6*g + 6. Give -6*l(i) + 5*u(i).
i**3 + i**2
Let r(p) = -23*p**3 + 3*p**2 + 5*p + 6. Let o(y) = -23*y**3 + 2*y**2 + 4*y + 5. Determine -5*o(m) + 4*r(m).
23*m**3 + 2*m**2 - 1
Let u(h) = h - 5. Let k(z) = -2*z + 11. Let t(y) = -4*y + 22. Suppose -3*i - 1 + 13 = 0. Let q(p) = i*t(p) - 9*k(p). Determine -3*q(d) + 7*u(d).
d - 2
Let a(t) = 9*t + 1. Let c(f) = -f - 1. Let n be c(-7). Let j(v) = -1 - v + 2*v - n*v. Suppose 4*o = -o - 25. Give o*j(u) - 3*a(u).
-2*u + 2
Let q(y) = -2*y**3 - 3*y**2 - 2*y. Let l(c) = 5*c**3 + 9*c**2 + 7*c. Determine 2*l(a) + 7*q(a).
-4*a**3 - 3*a**2
Let d(r) = 2*r**2 - 4. Let v(m) = 2*m**2 - 3. Let b = -9 + 8. Let k = 3 - b. Give k*v(q) - 3*d(q).
2*q**2
Let v(t) = 3*t - 4. Let y be 150/(-138) + -4 - (-4)/46. Let h = -5 + 7. Let o(j) = 7*j - 9. What is h*o(s) + y*v(s)?
-s + 2
Let y(b) = -b**3 + 5*b + 5. Let d(m) = m**3 - 6*m - 6. Give 5*d(w) + 6*y(w).
-w**3
Let u(j) = j**2 - j. Let d(g) = -4*g**2 + 7*g - 1. Determine -d(p) - 6*u(p).
-2*p**2 - p + 1
Let i(s) = -7*s - 17. Let j(k) = -2*k - 4. Calculate 6*i(n) - 22*j(n).
2*n - 14
Let l(t) = -20*t**2 + 3*t + 3. Let j(o) = -41*o**2 + 5*o + 5. Calculate 3*j(s) - 5*l(s).
-23*s**2
Let o(m) = m - 3. Let q(i) = 2*i - 4. What is -8*o(n) + 5*q(n)?
2*n + 4
Let m(g) = -2 + 0*g**3 + 14 - 6*g**3 - 1 + 11*g**2. Let d(y) = -y**2 + 1 + 1 + 2*y**2 - y**3 + y**2. Give -11*d(i) + 2*m(i).
-i**3
Let o(r) be the third derivative of r**5/20 + r**4/24 - r**3/6 - r**2 - 11*r. Let z(n) = n**2. Determine o(j) - 2*z(j).
j**2 + j - 1
Let n(l) = -4*l**3 - 5*l**2 - 5*l - 5. Let b be (-18)/9 + 1 + -3. Let y(f) = 3*f**3 + 4*f**2 + 4*f + 4. Calculate b*n(j) - 5*y(j).
j**3
Let f(m) = 19*m**3 - 3*m**2 - 3*m. Let g(c) = 18*c**3 - 4*c**2 - 4*c. Calculate -4*f(n) + 3*g(n).
-22*n**3
Let g(t) = t**2 - t. Let b(q) = q**2 - 6*q + 2. Give -b(w) + 4*g(w).
3*w**2 + 2*w - 2
Let t(k) = 2*k + 6. Let p(o) = -4*o - 13. Determine 3*p(v) + 5*t(v).
-2*v - 9
Let q(h) = -7*h**3 - 6*h**2 + 6*h + 5. Let l(p) = 6*p**3 + 5*p**2 - 5*p - 4. Let r = -3 + 8. Determine r*q(k) + 6*l(k).
k**3 + 1
Let b(x) = -9*x**3 - 6*x**2 - 6. Let n(q) be the second derivative of -2*q**5/5 - 5*q**4/12 - 5*q**2/2 + 4*q. What is -5*b(k) + 6*n(k)?
-3*k**3
Let g(q) = -4*q**2 + 3*q - 3. Let f(o) = o**3 - 5*o**2 + 4*o - 4. Give 3*f(w) - 4*g(w).
3*w**3 + w**2
Let g be 4/((-1)/(12/(-16))). Suppose 3 = -g*n + 12. Let w(m) = 3*m + 3. Let j(q) = 2*q + 5 + 1 - 4. What is n*w(d) - 5*j(d)?
-d - 1
Let g(z) be the first derivative of z + 18. Let b = 8 - 5. Let n(h) = -3*h + 2*h + b*h + 6. Calculate