a. Determine 3*t(p) + 5*u(p).
2*p + 1
Let h(l) = 3*l**2 - 5*l - 2. Let b(f) be the first derivative of -f + 1/3*f**3 - 20 - 1/2*f**2. Determine -4*b(q) + h(q).
-q**2 - q + 2
Let p(k) = 6*k**3 - 2*k**2 - 2*k + 4. Let v(w) = 7*w**3 - 3*w**2 - 3*w + 3. Determine 3*p(o) - 2*v(o).
4*o**3 + 6
Let r(o) = 3*o - 11. Let l(h) = -h + 4. Let i be 8/((7/14)/(4/(-8))). What is i*l(p) - 3*r(p)?
-p + 1
Suppose -90*m = -145*m + 275. Let i(v) = 5*v - 2. Suppose -2*k + 5*l = -0*k - 17, 4*k - 28 = 4*l. Let b(s) = -k*s + 0 + 0 + 2. Calculate m*i(p) + 4*b(p).
p - 2
Suppose 0 = -2*r + 2*l + 4, -5*r - 2*l + 23 + 1 = 0. Let w(m) = -2*m**3 - 2*m + 4. Suppose -12*v - 46 = -34. Let a(z) = -z + 1. Give r*a(h) + v*w(h).
2*h**3 - 2*h
Let f(g) = -2*g**2 + 6*g + 7. Let u(i) = 139*i - 134*i - 413*i**2 + 412*i**2 + 6. Calculate -4*f(m) + 5*u(m).
3*m**2 + m + 2
Suppose -4*b + 9 = 3*s, -6 + 3 = 4*b - s. Let d(l) = 1 + b + 6 + 2*l. Let r(q) = -q - 3. Give -2*d(v) - 5*r(v).
v + 1
Let u(i) be the third derivative of -i**5/30 - i**3/6 + 62*i**2. Let l(b) = -4*b**2 + b - 1. Calculate 2*l(f) - 5*u(f).
2*f**2 + 2*f + 3
Let v(n) = n + 1. Let b(j) = -j**2 - 3*j - 1. Let s = 23 - -33. Suppose -5*q + 61 - s = 0. Determine q*b(l) + 3*v(l).
-l**2 + 2
Suppose -13*t = -9*t - 20. Let v(w) = w**3 - 2*w - 1. Let y = -7 - -10. Suppose y*j - 10 = -4. Let i(x) = -2*x**3 + x**2 + 5*x + 2. Give j*i(o) + t*v(o).
o**3 + 2*o**2 - 1
Let b(i) = -8*i**3 + 17*i**2 + 3*i + 6. Let l be 20/30*-33 + 5. Let v(j) = -3*j**3 + 6*j**2 + j + 2. Give l*v(t) + 6*b(t).
3*t**3 + t + 2
Let x(v) = 21*v + 3. Suppose 0 = 5*i - 29 - 56. Let n(z) = -7*z - 1. What is i*n(c) + 6*x(c)?
7*c + 1
Let c(j) = -2*j**2 - 5*j - 3. Let z(k) = -k**2 - k - 1. What is -4*c(v) + 14*z(v)?
-6*v**2 + 6*v - 2
Let w(q) = -3*q + 2. Let u(d) = -9*d - 4. Give u(b) - 5*w(b).
6*b - 14
Suppose -3*a - 4 = -13. Let i(c) = -c - 4 - a + 7. Let y(q) = -15*q. Give -12*i(f) + y(f).
-3*f
Let k(n) = -11*n**3 + 14*n - 13. Let c(v) = 9*v**3 - 15*v + 11. Calculate -6*c(z) - 5*k(z).
z**3 + 20*z - 1
Let k = -1969 - -1964. Let d(z) = z + 1. Let c(b) = -5*b - 2. Determine k*c(q) - 10*d(q).
15*q
Let z(h) = 2*h**2 + 2*h - 1. Let j(u) = 121*u**2 + 8*u - 6. Give -j(f) + 6*z(f).
-109*f**2 + 4*f
Suppose 0 = -5*n - 6 - 4. Let b(s) = s - 1. Let i(q) = 0*q - 12 + 14 - 4*q. Give n*b(x) - i(x).
2*x
Let i(v) = v - 2. Let h(c) be the second derivative of -c**3/2 + 5*c**2/2 + 27*c. Suppose b - 6 = -2*b. Give b*h(d) + 5*i(d).
-d
Let q(g) = -3*g**3 - g**2 + 5*g + 9. Let l(t) = t**3 - 9*t**2 - 7*t - 9. Let b(y) = 2*y**2 + y + 1. Let p(z) = 5*b(z) + l(z). What is -5*p(d) - 2*q(d)?
d**3 - 3*d**2 + 2
Let d(x) = 431*x + 7. Let z(p) = 217*p + 3. Determine 4*d(c) - 9*z(c).
-229*c + 1
Let f(u) = 8*u**3 + 3*u. Let i(y) = -y**3 + 15*y**2 - 44*y - 20. Let a be i(9). Let h(n) = 95*n**3 + 35*n. Determine a*f(o) - 6*h(o).
-10*o**3
Let f(x) = 2*x**3 - 3*x**2 + 9*x. Let p(d) = d**3 - d**2 + 2*d. Calculate -2*f(o) + 9*p(o).
5*o**3 - 3*o**2
Let x(s) be the first derivative of -s**3/3 + s**2/2 + 1. Suppose -119 = -11*y - 9. Let h(r) = 2*r**2 - 2*r. Give y*x(g) + 6*h(g).
2*g**2 - 2*g
Let c(x) = -3*x**3 - x**2 - 2. Let a(v) = -10*v**3 - 4*v**2 - 7. Let n = 2135 + -2142. Let j = 8 - 6. Calculate j*a(o) + n*c(o).
o**3 - o**2
Let g(a) = -a**3 - 5*a**2 - 2. Let k(y) = 20*y**2 + 4*y**3 - 19*y + 19*y + 9. Suppose 3*u + 2*l = u - 22, 0 = 4*u - 2*l + 32. What is u*g(i) - 2*k(i)?
i**3 + 5*i**2
Let i(j) = j**2 - 1. Let p(t) = t**2 - 1. Let c = -33 - -36. Let v(b) = c*p(b) - 2*i(b). Let y(x) = x**2 - x - 3. Give -6*v(h) + 2*y(h).
-4*h**2 - 2*h
Let l(v) = -8*v**2 - 1. Let r(z) = -z**2 + z. Give l(b) - r(b).
-7*b**2 - b - 1
Let o(q) = 70*q**2 - 14. Let c = 1668 - 1682. Let g(r) = -14*r**2 + 3. What is c*g(y) - 3*o(y)?
-14*y**2
Let y = 28 - 26. Let v(p) = -3*p + 6*p + 1 - y*p. Let o(i) = 4*i + 2. What is o(m) - 3*v(m)?
m - 1
Let f(a) = 4*a - 2. Let i be 66/14 - (-38)/133. Let h(p) = 9*p - 5. Give i*f(z) - 2*h(z).
2*z
Let a(f) = 4*f**2 - 5*f + 7. Let c(x) = -37*x**2 + 41*x - 14. Let k(w) = 18*w**2 - 20*w + 8. Let b(t) = 6*c(t) + 13*k(t). Calculate -17*a(r) + 6*b(r).
4*r**2 + r + 1
Let k(q) be the first derivative of 4*q**4 - 9*q**2 + 134. Suppose 3 = -a, -168 = -2*g - 3*g - 4*a. Let z(l) = -l**3 + l. What is g*z(t) + 2*k(t)?
-4*t**3
Let n(x) = -5*x**3 - 8*x**2 - 3*x + 1. Let b(h) be the second derivative of 9*h**5/20 + 5*h**4/4 + 5*h**3/6 - h**2 - 4*h - 10. Give -3*b(z) - 5*n(z).
-2*z**3 - 5*z**2 + 1
Let v(y) = 5*y**2 - y - 7. Let h(d) = 14*d**2 - 3*d - 19. Let j(o) = 4*h(o) - 11*v(o). Let q(f) = 6*f**2 - 3*f + 4. Calculate 4*j(i) - q(i).
-2*i**2 - i
Suppose -7*a + 19*a - 96 = 0. Let z(b) = -11*b - 2. Let j(m) = 4*m + 1. Give a*j(p) + 3*z(p).
-p + 2
Let w(c) = c - 1. Let y be -2 + (2 - 2/2). Let l = y - -6. Suppose -4*g = 4*k, 3*k - 3 = l*g + 5. Let p(d) = -d + 2. What is k*p(q) + 2*w(q)?
q
Let h(g) = -290*g + 10. Let v(r) = -288*r + 13. What is 5*h(b) - 4*v(b)?
-298*b - 2
Let v(n) = 9*n**2 + 7*n - 1. Let c(z) = -4*z**2 - 3*z. Let h = 10 + -6. Suppose 8*u = h*u - 12. Calculate u*v(g) - 7*c(g).
g**2 + 3
Let y(t) = -2*t**2 + 10*t**2 - 10*t**2 - 2*t**2. Suppose 0 = 13*w - 10*w - 12. Let z(g) = 11*g**2. Determine w*z(q) + 10*y(q).
4*q**2
Let o(s) = 15*s - 79. Let c(m) = 15*m - 68. Give -7*c(n) + 6*o(n).
-15*n + 2
Let p(r) = -8*r**2 + 12*r + 13. Let j(c) be the second derivative of c**4/6 - c**3/2 - 3*c**2/2 - 43*c - 2. What is -9*j(a) - 2*p(a)?
-2*a**2 + 3*a + 1
Let d(c) = 3*c**3 - 2*c**2 + 5*c + 2. Let s(q) = -10*q**3 + 7*q**2 - 17*q - 6. Give 7*d(o) + 2*s(o).
o**3 + o + 2
Let l = 16 - 12. Suppose 5*v - 6 = l. Let a = v - -3. Let h(m) = 4*m - 3. Let q(b) = -3*b + 2. What is a*q(p) + 4*h(p)?
p - 2
Let r(g) be the third derivative of 5*g**4/24 - 2*g**2. Let a(s) = -s. Let d be 663/(-117) - (-2 - (-7)/3). Determine d*r(l) - 25*a(l).
-5*l
Let w(k) = -k**2 + 1. Let g(n) = -n**2 + n + 6. Let h(z) = z**2 - 4*z - 40. Let i be h(9). Suppose i*y + 18 + 5 = 2*j, 0 = -y - 3. What is j*w(r) - g(r)?
-3*r**2 - r - 2
Let k(z) = -3*z**2 + 6*z - 7. Let f = 399 + -394. Let g(h) = -2*h**2 + 3*h - 4. Determine f*g(b) - 3*k(b).
-b**2 - 3*b + 1
Let l(h) = 2*h**2 - 4*h + 23. Let u(d) = -d**2 + 3*d - 22. What is -3*l(b) - 4*u(b)?
-2*b**2 + 19
Let f(o) be the first derivative of -o + 186. Let v(q) = q + 3. Let r(h) = 5*h + 13. Let j(x) = -2*r(x) + 9*v(x). Give 2*f(y) + j(y).
-y - 1
Let u(b) = -5*b + 9. Let h(o) = -o + 2. Suppose -z + 7*z = -6. Let q be (z + 0/(-1))/((-4)/(-36)). Determine q*h(c) + 2*u(c).
-c
Let w(n) = 4*n**2 - 9*n - 6. Let f(s) = -4*s**2 + 7*s + 5. Determine -5*f(l) - 4*w(l).
4*l**2 + l - 1
Let x(l) = l**2 + 8. Suppose 42 + 23 = -5*c. Let n(t) be the first derivative of -2*t**3/3 - 17*t + 396. Give c*x(f) - 6*n(f).
-f**2 - 2
Let l(f) = -1. Let c(t) = -2*t. What is -18*c(s) + 2*l(s)?
36*s - 2
Let w(i) = -56. Let y(l) = 2*l + 27. Calculate 2*w(d) + 5*y(d).
10*d + 23
Let g(l) = l**2 + 18*l + 21. Let t be g(-17). Let v(p) = 5*p**2 + p - 4. Let s(d) = -10*d**2 - 2*d + 9. What is t*s(m) + 9*v(m)?
5*m**2 + m
Let s(q) = 4*q**2 - 2*q + 11. Let n(m) = 4*m**2 - 2*m + 10. What is 3*n(u) - 2*s(u)?
4*u**2 - 2*u + 8
Suppose -5 - 3 = -2*p. Let n(t) = -4*t**2 + 1. Let j(i) = 2*i - 11. Let u(v) = -v**2 - v + 6. Let d(c) = -j(c) - 2*u(c). Determine p*n(r) + 7*d(r).
-2*r**2 - 3
Let v(u) = 12*u + 11. Let d(b) = -10*b - 9. What is 3*d(g) + 2*v(g)?
-6*g - 5
Let o(p) = -3*p**2 + 6*p - 2. Let n(j) = -j + 1. Let f(c) = 39*c - 545. Let a be f(14). Determine a*o(q) + 6*n(q).
-3*q**2 + 4
Let c(x) = 0*x - 4*x + 4*x - x + 1. Let l(v) = 2*v + 5. What is 2*c(q) - l(q)?
-4*q - 3
Let n(k) = -2*k**2 - k + 1. Let t(j) = -101*j**2 + 9*j - 8. Calculate 6*n(o) + t(o).
-113*o**2 + 3*o - 2
Let q(m) = -3*m**3 + 5*m**2 + m - 5. Let h = -21 + 25. Let r(v) = -2*v**2 + 14*v + 5. Let p be r(7). Let w(o) = 2*o**3 - 4*o**2 - o + 4. Give h*q(y) + p*w(y).
-2*y**3 - y
Let j = 5 + -2. Let i(h) = -4*h**3 - 2*h**2 - 7*h - 7. Let g = 2824 - 2817. Let k(c) = 2*c**3 + c**2 + 3*c + 3. Give g*k(t) + j*i(t).
2*t**3 + t**2
Let c(j) = -5*j**2 + 12*j - 10. Let k(w) = 4*w**2 - 11*w + 8. Give -5*c(r) - 6*k(r).
r**2 + 6*r + 2
Let w(c) = -2*c + 3*c - 390 + 391. Let j(d) = -3*d - 3. Calculate 4*j(u) + 11*w(u).
-u - 1
Let r(l) be the second derivative of l**4/12 + l**3/3 + l**2 + 9*l - 9. Let o(f)