- 3. Let a(u) = u**2 - 1. What is w*h(f) + 3*a(f)?
-3*f**3 - f
Let v(u) = 9*u - 417. Let h(s) = -5*s + 208. What is -7*h(y) - 4*v(y)?
-y + 212
Let p(s) = -s**2. Let c(d) = 5*d**2 - 12*d + 2. Determine c(b) + 4*p(b).
b**2 - 12*b + 2
Let y(v) = -16*v**2 - 7*v - 6. Let c(d) = -34*d**2 - 15*d - 13. Let r(o) = -6*c(o) + 13*y(o). Let l(k) = 11*k**2 + 4*k. Determine -6*l(x) - 17*r(x).
2*x**2 - 7*x
Let l(h) = 2*h**3 - 7*h - 7. Suppose -2 - 6 = -2*x. Suppose 3*y = -4*j + 6, -3*j - 4*y = -y - 3. Let i(s) = s - 2*s - 3*s - 4 + s**j. Calculate x*l(v) - 7*i(v).
v**3
Let a(d) be the first derivative of -d**2/2 - d + 133. Let i(o) = -o - 1. Calculate -3*a(t) + 4*i(t).
-t - 1
Let o(b) = -7*b - 14. Let g(l) = 8*l + 13. Calculate 6*g(v) + 5*o(v).
13*v + 8
Let p(i) = 29273*i**3 + 803*i**2 - 803*i + 803. Let d(u) = 73*u**3 + 2*u**2 - 2*u + 2. Calculate -803*d(c) + 2*p(c).
-73*c**3
Let t(w) = -w**3 + 6*w**2 + 6*w - 6. Let z(u) be the second derivative of 0 + 2*u - 1/20*u**5 + 7/6*u**3 + 7/12*u**4 - 7/2*u**2. Calculate -7*t(d) + 6*z(d).
d**3
Let o(y) = -2*y - 3. Let f be o(-3). Let k(t) = 6*t - 2. Let r(s) be the first derivative of 5*s**2/2 - s + 298. Determine f*k(z) - 4*r(z).
-2*z - 2
Let o(u) = -3*u + 1. Let r(i) = 16*i + 1. Calculate 6*o(c) + 2*r(c).
14*c + 8
Let v(g) = -87*g + 12. Let p(j) = -j + 1. What is 22*p(d) - 2*v(d)?
152*d - 2
Let h(i) = -i**2 + 3*i - 3. Let x(l) = -3*l**2 + 11*l - 11. Suppose 18*c = -0*c - 108. Give c*x(j) + 22*h(j).
-4*j**2
Suppose 3*q = -0*q + 6. Let z = 5 - q. Let d(m) = m - z + 1 - 2*m - m**2 + 3. Let v(b) = -6*b**2 - 5*b + 4. Calculate 4*d(u) - v(u).
2*u**2 + u
Let m(h) be the third derivative of -h**6/60 - h**5/15 - h**4/12 + h**3/3 + 84*h**2 + 2. Let y(b) = b**3 + 5*b**2 + 3*b - 3. What is 3*m(j) + 2*y(j)?
-4*j**3 - 2*j**2
Suppose 15 = a + 3*o, 5*a + o = 1 + 4. Let h = 16 - a. Let n(c) = 10 - 6*c - 20*c + 6. Let x(k) = 5*k - 3. What is h*x(t) + 3*n(t)?
2*t
Let x be (-5 - (-7 - -1))*(-1 - 53). Let n = x - -52. Let c(k) = 3*k**2 + 2*k + 5. Let d(g) = -4*g**2 - 3*g - 6. Calculate n*d(z) - 3*c(z).
-z**2 - 3
Let d(w) = 3*w + w + w**2 + 2 + 0. Let s(n) = n - n + 3 - 4*n + 0*n + 9*n + 2*n**2. What is -3*d(z) + 2*s(z)?
z**2 - 2*z
Let d(u) be the second derivative of 3*u**5/20 - u**4/3 - 5*u**3/6 - 5*u**2/2 + 133*u. Let o(t) = 3*t**3 - 5*t**2 - 6*t - 6. What is 6*d(w) - 5*o(w)?
3*w**3 + w**2
Let n(k) be the first derivative of -3*k**2 + 3*k - 1. Let c(m) = -m + 1. Suppose 5*b - 60 = -15*b. Determine b*c(x) - n(x).
3*x
Suppose -3*d + 8 + 1 = 0. Suppose -w = -d*u + 1, -3*w - 3*u + 0*u = -21. Let x(f) = 2 + 4 + 5*f - f - w. Let b(y) = -13*y - 4. What is -2*b(a) - 7*x(a)?
-2*a + 1
Let i(l) = -28*l**2 + 8*l - 8. Let o(k) = -2*k**2 + k - 1. Determine -i(a) + 8*o(a).
12*a**2
Let v(p) = 19*p - 4. Let z(g) = 19*g - 3. What is -5*v(t) + 6*z(t)?
19*t + 2
Let p(r) = 8*r**2 - r + 1 + 3*r**2 - 12*r**2. Let w(n) = -6*n**2 - 10*n + 5. Determine -5*p(o) + w(o).
-o**2 - 5*o
Let o(c) = 78*c**3 + c**2 + 4*c + 4. Let v(a) = -158*a**3 - 2*a**2 - 7*a - 7. Give 7*o(d) + 4*v(d).
-86*d**3 - d**2
Let y(r) = -3*r**3 + 8*r**2 - 3*r. Let n(g) = -6*g**3 + 15*g**2 - 5*g. Suppose 2*p = -2*v, -7*p = 2*v - 12*p + 21. Calculate v*n(u) + 5*y(u).
3*u**3 - 5*u**2
Let l(v) = 84*v**2 + 24*v + 22. Let b(p) = 17*p**2 + 5*p + 4. Calculate 11*b(k) - 2*l(k).
19*k**2 + 7*k
Let w(h) = 2*h + h - 4*h**2 - h**2 + 3. Suppose -2*t = -5*r + 77, 5*r = 5*t - 16 + 96. Let d = -8 + r. Let c(y) = -11*y**2 + 7*y + 7. Calculate d*w(x) - 3*c(x).
-2*x**2
Let j(u) = 3*u**3 - 3*u**2 + 3*u + 1. Let n be 232/(-48) + 2/(-12). Let k(c) = 6*c**3 - 5*c**2 + 5*c + 2. Give n*j(p) + 3*k(p).
3*p**3 + 1
Let a(f) = -5*f**3 + 3*f**2 + 3. Let s(u) = -u**3. Let b(l) = -64*l**3 + 40*l**2 + 40. Let g(w) = b(w) + s(w). Give -40*a(n) + 3*g(n).
5*n**3
Let x(q) = 2*q**2 + 2*q + 3 - 3*q - 4*q. Let y = 3 + -4. Let j(v) be the third derivative of -v**5/60 + v**4/24 - v**3/6 - 2183*v**2. What is y*x(c) - 4*j(c)?
2*c**2 + c + 1
Let s(o) = o**3 - o + 1. Let t(z) = -3*z**2 + 5*z + 5. Let w be t(-6). Let b = -146 - w. Let d(l) = 2*l**3 - 2*l + 2. Give b*s(k) + 6*d(k).
-k**3 + k - 1
Let v(t) = 5*t**3 - 51*t - 10. Let p(x) = -3*x**3 + 50*x + 8. Calculate 5*p(l) + 4*v(l).
5*l**3 + 46*l
Let t = 10 - 5. Suppose 0 = t*l - 7*l + 10. Suppose 0 = -2*x - l*j - 37, -3*x - j - 34 = -11. Let i(o) = 7*o + 8. Let c(q) = -q - 1. What is x*c(k) - i(k)?
-k - 2
Let x(n) = 2*n**2 + 3*n - 1. Let y(r) = 14*r**3 - 12*r**2 - 17*r + 5. Determine 6*x(z) + y(z).
14*z**3 + z - 1
Suppose -55*d + 60*d = 2*p - 8, 2*d = p - 6. Let x(k) = -8*k**3 - 7*k**2 + 7*k. Let w(l) = 3*l**3 + 2*l**2 - 2*l. Give p*w(n) + 4*x(n).
10*n**3
Let c(b) = 5 + 4*b - 2 + 2*b - 2*b + 0. Let p(m) = -1. Let x(a) = -a - 4. Let d(y) = 3*p(y) - x(y). What is -c(g) + 3*d(g)?
-g
Let u(w) be the first derivative of 2*w**2 + 141. Let d(o) = -3*o. What is 4*d(j) + 4*u(j)?
4*j
Let x(q) = -49*q**2 + 6*q + 11. Let a(p) = -50*p**2 + 7*p + 14. Calculate -3*a(u) + 4*x(u).
-46*u**2 + 3*u + 2
Let z(y) = 2 - 2 + 1. Let w(c) = -2*c**2 - 2*c - 4. Let q be 31/(-7) - 12/(-28). Determine q*z(d) - w(d).
2*d**2 + 2*d
Let f(x) = -x**2 + 7*x - 1. Let v(q) = 2*q**2 - 13*q + 2. Let h(d) = -131*d + 657. Let l be h(5). Give l*v(n) + 5*f(n).
-n**2 + 9*n - 1
Let y(m) = -20*m**3. Let f(s) = 2*s**3. Let v(a) be the third derivative of -a**4/24 - a**3/2 + 17*a**2. Let p be v(19). Determine p*f(g) - 2*y(g).
-4*g**3
Let p(u) = u**3 - 1. Let l(f) = 4*f**3. Let z be (-15)/10 - (-3 - 15/(-6)). Calculate z*p(j) - l(j).
-5*j**3 + 1
Let g(x) = x. Let h be 5/(-4) - 38/(-152). Let f(l) = 4. Give h*g(j) + f(j).
-j + 4
Let d(a) = -9*a**3 - 5*a**2 + 2*a - 9. Let s(j) = -j**3 - 2*j**2 + j - 2. Let u(k) = -d(k) + 2*s(k). Let h(y) = 3*y**3 + y**2 + 2. Determine 5*h(c) - 2*u(c).
c**3 + 3*c**2
Let i = 17 + -14. Let v(t) = -3 + 8*t - i - 6*t. Let w(c) = 3*c - 7. Suppose 4*b - 4*y = 6*b + 4, 0 = 3*b + y - 14. Calculate b*v(j) - 5*w(j).
-3*j - 1
Let o(i) = -i**2 + i. Let f(n) = 0*n + 2*n + 0*n**2 - n**2. Let g(l) = -33*l**2 + 3*l + 3. Let p be g(2). Let q = -124 - p. Give q*f(h) + 2*o(h).
-h**2
Suppose 6 + 6 = 4*t. Let j(v) = 3*v - 4. Let x(p) be the second derivative of -p**3/3 + p**2 - 3*p - 296. Calculate t*j(l) + 5*x(l).
-l - 2
Let a(j) = 4*j**2. Let x(y) = -2*y**2 + 6*y - 6. Let v(d) = 5*d**2 - 14*d + 14. Let h(k) = 3*v(k) + 7*x(k). Determine a(l) + 5*h(l).
9*l**2
Let s(a) be the third derivative of -a**4/8 + 5*a**3/6 + a**2. Let o(y) = 2*y - 2. Let c = -998 - -993. Give c*o(r) - 2*s(r).
-4*r
Let x(a) = -2*a**3 - 7*a**2 - 2*a - 4. Let r(c) = -c + 34*c**3 + 2*c + 2*c**2 + 2 - 33*c**3 + c**2. Calculate -7*r(y) - 3*x(y).
-y**3 - y - 2
Let r be 13/5 + (-4)/(-10). Let o = -4 + 0. Let z(g) = 2*g - 2*g**2 - 257 - 263 - 264 + 781. Let y(l) = -l**2 + 2*l - 2. Calculate o*y(a) + r*z(a).
-2*a**2 - 2*a - 1
Let r(w) = 7*w**2 - 3*w + 5. Let j(y) = 21*y**2 - 8*y + 16. Give 6*j(x) - 17*r(x).
7*x**2 + 3*x + 11
Let j(z) be the first derivative of -z**2/2 + z + 1. Let i(v) = 5*v - 3. Let q be 14/154 + 42/22. Give q*j(y) + i(y).
3*y - 1
Let l = -24 + 23. Let m be (3 - (3 + -1))/l. Let h(a) = -4*a**3 - a**2 + a + 1. Let b(g) = 5*g - g**2 + 1 - 2*g**3 - 4*g + g**3. Determine m*h(r) + b(r).
3*r**3
Let p(g) = -6*g**2 - 9*g - 15. Let s(k) = 2*k**2 + 3*k + 5. Calculate 3*p(z) + 8*s(z).
-2*z**2 - 3*z - 5
Let j(b) = 5*b**3 + b**2 - 19*b. Let y(x) = -6*x**3 - 2*x**2 + 20*x. Calculate 4*j(z) + 3*y(z).
2*z**3 - 2*z**2 - 16*z
Let l(y) = 2*y. Let b(o) = -5*o - 5. Let h(v) = -b(v) - 3*l(v). Let n(c) = 4*c - 19. Give -9*h(i) - 2*n(i).
i - 7
Let r(v) = v**3 + 11*v**2 + 10*v - 3. Let z be r(-10). Let n(u) = -3*u - u**2 - 3 - 17 + 2 + 15. Let j(g) = -4*g**2 - 14*g - 14. Calculate z*j(q) + 14*n(q).
-2*q**2
Let o = 19 + -13. Let j(n) = 4*n**3 - 6*n**2 - 6*n - 6. Let q(c) = 5*c**3 - 4*c**3 - c - 1 - c**2 + 0*c + 0*c. What is o*q(x) - j(x)?
2*x**3
Let m(w) = 15*w**3 + 3*w**2 + 3*w - 3. Let p(f) = 30*f**3 + 5*f**2 + 5*f - 5. Let r(y) = -y**3 - 35*y**2 - 123*y + 36. Let g be r(-31). What is g*m(v) - 3*p(v)?
-15*v**3
Let i(f) = f**2 - 12*f + 5. Let w(o) = -o**2 - o + 1. What is -i(g) + 2*w(g)?
-3*g**2 + 10*g - 3
Let s(k) = 2*k + 5. Let h(x) = 2*x. Give -2*h(b) + s(b).
-2*b + 5
Let x(l) = -l**3 - 7*l + 4. Let a(p) be the third derivative of -p**6/120 - 5*p**4/24 + p**3/2 - 2