hat is k*f(w) + l*q(w)?
-w - 2
Let h(n) be the second derivative of -11*n**3/6 - 3*n**2/2 + 545*n. Let p(t) = 16*t + 5. Give 8*h(x) + 5*p(x).
-8*x + 1
Let j = -95 - -35. Let u = j - -66. Suppose f = c, -c - f = -u - 2. Let n(v) = -4*v**3 - 3*v**2 - 1. Let g(d) = 5*d**3 + 4*d**2 + 1. Determine c*n(s) + 3*g(s).
-s**3 - 1
Let w(i) = 7*i**2 - 3. Suppose 0 = -2*q + k - 10, 36*k - 35*k - 16 = 4*q. Let v(c) = 14*c**2 - 7. Determine q*v(g) + 7*w(g).
7*g**2
Let r(l) be the third derivative of -1/30*l**5 + 0*l + 41*l**2 + 1/2*l**4 + 0 + 16/3*l**3. Let g(t) = t**2 - 5*t - 13. What is -12*g(s) - 5*r(s)?
-2*s**2 - 4
Let a(y) = -8*y - 11. Let q(n) = -n - 1. Let j be 2 - (13/26 + 10/(-4)). Suppose 0 = -j*m + 4*g - 6 + 30, -4*m + 5*g = -24. Determine m*q(x) - a(x).
2*x + 5
Let f(x) = -2*x + 11. Let z(t) = 27*t - 50. Let v(l) = -5*f(l) - z(l). Let h(q) = 16*q + 4. Determine 3*h(d) + 2*v(d).
14*d + 2
Let q(m) = 20009*m + 2568. Let n(c) = 117*c + 15. What is -856*n(b) + 5*q(b)?
-107*b
Let m = 1 - 3. Let p(l) = 9*l**3 - 11*l**2 - 11*l - 11. Let t(k) = k**3 - k**2 - k - 1. Let h(j) = -146*j + 606. Let z be h(4). What is m*p(o) + z*t(o)?
4*o**3
Let i(p) = p**2 + p - 1. Let j(z) = 2*z**2 + z + 3. Let d(v) = -3*v**2 - 2*v - 3. Let m(s) = 3*d(s) + 4*j(s). Let h = -464 - -465. What is h*m(k) + 3*i(k)?
2*k**2 + k
Let b(c) be the third derivative of -c**4/24 - c**3/6 - 312*c**2. Let d(f) be the third derivative of f**3/3 - f**2. Determine -3*b(x) - d(x).
3*x + 1
Let f(m) = 5*m**2 + 89*m - 40. Let v be f(-18). Let q(i) = 12*i**2 + 11*i - 15. Let o(b) = 3*b**2 + 3*b - 4. Give v*o(d) + 6*q(d).
6*d**2 - 2
Let c(k) = 255*k + 13. Let m(v) = -409*v - 21. Let p(x) = -8*c(x) - 5*m(x). Let g(j) = j**2 + 6*j + 3. Let r be g(-6). Let z(w) = 6*w + 1. Give r*z(u) - 4*p(u).
-2*u - 1
Let s(r) = 100*r**3 + 5*r**2 - 41*r - 5. Let p(j) = -7*j**3 - j**2 - j + 1. Determine 5*p(l) + s(l).
65*l**3 - 46*l
Let b(i) = 587*i + 7. Let r(p) = -3*p - 3. Calculate -b(h) - r(h).
-584*h - 4
Let v(o) = -9*o**2 - 2*o. Let z(n) = -4*n**3 - 6*n**2 + 7*n - 1. Let u be z(-4). Let l(q) = 71*q**2 - u*q**2 + 70*q**2 + 2*q. Calculate 6*l(s) + 7*v(s).
-3*s**2 - 2*s
Let k(y) = 2*y**2 + 4*y - 6. Let n(g) = -7*g**2 - 15*g + 25. Let v(j) = 6*j**2 - 247*j + 35. Let r be v(41). Determine r*n(s) - 22*k(s).
-2*s**2 + 2*s - 18
Let i(t) = 750*t**2 - 3. Let k(b) = -125249*b**2 + 502. Determine -502*i(w) - 3*k(w).
-753*w**2
Let f(n) = 3*n**2 + 4*n - 3. Suppose 20*q + 3 = 18 + 5. Let b(d) = -d**2 - d + 1. Determine q*f(k) + 5*b(k).
-2*k**2 - k + 2
Let t(h) = h**2 + 2*h**2 + 3*h**2 + h**2. Let c(z) = 2*z**2. Let o be (-2)/(-2) + (-19 - (-10 - 14)). Determine o*t(x) - 22*c(x).
-2*x**2
Let p be (10/8)/(1/(-4)). Let h(k) = 4*k + 1. Let y(v) = -5*v - 1. Let u be (-1 - (-90)/3)/(11/44). Let w = u - 122. Determine p*y(m) + w*h(m).
m - 1
Let t(c) = -11*c**3 - 10*c**2. Let f(l) = 4*l**3 + 3*l**2. Suppose 7*h = 3*h - 4*a - 52, 5*a = 2*h - 23. What is h*t(r) - 17*f(r)?
-2*r**3 + 9*r**2
Let y(w) = -w**3 - 3*w**2 + w. Let l(u) = 286*u**3 + 8*u**2 - 3*u + 1. What is -l(g) - 3*y(g)?
-283*g**3 + g**2 - 1
Let v(s) = -s - 5*s + 16 - 32 - 14*s. Let f(r) = 4*r + 3. Let m be (-8)/(6 - 13/2). Give m*f(a) + 3*v(a).
4*a
Let x(z) = 46*z - 2257. Let b be x(49). Let h(u) = -u**3 - 4*u - 10. Let m(f) = f**3 + 4*f + 11. Calculate b*m(t) - 4*h(t).
t**3 + 4*t + 7
Let l(r) = r**3 - 4*r**2 + 9*r - 28. Let w be l(4). Let o(n) = -7*n**2 - 4*n. Let h(u) = 10*u**2 + 6*u. Give w*o(z) + 5*h(z).
-6*z**2 - 2*z
Let q(u) = 7*u + 3. Let i(p) = -9*p - 132. What is -i(b) - 2*q(b)?
-5*b + 126
Let f(i) = 1807*i**3 + 16*i**2 + 9*i. Let l(z) = 4216*z**3 + 38*z**2 + 21*z. Give -19*f(a) + 8*l(a).
-605*a**3 - 3*a
Let h(z) be the first derivative of -z**2/2 + z - 10029. Suppose -6 - 2 = -2*x. Let s(o) = o - 1. Determine x*s(y) + 3*h(y).
y - 1
Let g(s) = 66*s + 491. Let w(f) = -22*f - 181. Calculate 4*g(j) + 11*w(j).
22*j - 27
Let q(f) = f**2 - 5*f - 2. Let g(k) = -9*k**2 - 60*k - 21. Let v(r) = -g(r) + 12*q(r). Let z(p) = -p**2 - 1. Calculate -v(y) + 3*z(y).
-24*y**2
Let u(s) = -2*s**2 + 2*s + 6. Suppose -13*y + 25 = 21*y - 39*y. Let w(g) = -2*g**2 + 2*g + 9. Let f(m) = 1. Let c(x) = -4*f(x) + w(x). What is y*c(h) + 4*u(h)?
2*h**2 - 2*h - 1
Let k(h) = 25*h - 1. Let r(x) = 4*x**3 - 2*x**2 + 157*x - 16. Calculate 6*k(m) - r(m).
-4*m**3 + 2*m**2 - 7*m + 10
Suppose -4*k - 17 = -b - 8, -3*k = 3*b + 33. Let w(j) = 8*j**2 + 1. Let n(y) be the third derivative of -3*y**5/20 - y**3/6 + 2*y**2. Determine b*w(g) - 6*n(g).
-2*g**2 - 1
Let n(g) = g**2 - 1. Let s(r) = r**2 + 3*r + 2. Suppose -9 - 2 + 2 = 9*q. Calculate q*s(i) - n(i).
-2*i**2 - 3*i - 1
Let m(r) = -35*r. Let d(p) = -p. Let y(v) = v**2 - 87*v + 1879. Let i be y(47). What is i*m(l) + 6*d(l)?
29*l
Let i(t) = 37*t - 140. Let x(s) = -23*s + 91. Give -5*i(j) - 8*x(j).
-j - 28
Let g(m) = 9*m**2 + m + 1. Let r(u) = -u**2 - 1. Let d be 6 + (-9 - -16)*-1. Give d*g(h) - 4*r(h).
-5*h**2 - h + 3
Let w(m) = 4*m**2 - 13*m + 95. Let u(q) = -7*q**2 + 27*q - 177. What is 6*u(i) + 11*w(i)?
2*i**2 + 19*i - 17
Let r(i) = 7 + 2 - 4*i + 0 - 18 - 7*i**2 + 7. Suppose 5*g - 30 = 4*o, 5*g + o - 2*o - 15 = 0. Let y(a) = -a**2 + g*a - 2*a - a. Calculate -r(v) + 5*y(v).
2*v**2 - v + 2
Let w(r) be the first derivative of -r + 3641. Let y(o) = o - 3. Give w(s) - y(s).
-s + 2
Let m(z) = -z**2 - z + 1. Let d = 40 - 43. Let l be (d + (-13)/(-5))*(-3 + -7). Let c(x) = 8 + 2*x - 4*x**2 - 6*x + 2*x - l*x. Calculate c(j) - 6*m(j).
2*j**2 + 2
Let q(y) = 24*y**2 + 20. Let d(a) = -a**2 - 1. Suppose -431 = 6*c + 91. Let s = 92 + c. Suppose s*o + 200 = -5*o. Determine o*d(w) - q(w).
-4*w**2
Let k(f) = -6*f**3 - 6*f**2 - 6*f - 22. Let v(o) = 20*o**3 + 7*o**2 + 7*o + 22. Give -7*k(n) - 6*v(n).
-78*n**3 + 22
Suppose -7*b + 6*b + 5 = 0. Let y be -4*b/10 + 13 + -5. Let o(q) = -q + 3. Let l(m) be the first derivative of -m**2 + 6*m + 1. What is y*l(x) - 13*o(x)?
x - 3
Let z(p) be the third derivative of -p**5/60 + p**3/6 - p**2 + 15. Let j(t) = 9 + 10820*t - 9*t**2 - 10820*t. Calculate -j(m) + 6*z(m).
3*m**2 - 3
Let q(s) = -s + 8. Let r(f) = -2*f - 25. What is 3*q(w) - r(w)?
-w + 49
Let m(n) = 3*n + 3. Suppose -3*i - 4*i + 28 = 0. Let c(j) be the first derivative of 8*j**2 + 16*j - 38. Determine i*c(o) - 22*m(o).
-2*o - 2
Let o(y) = 34*y**3 + y**2 + 3*y - 8. Let w(n) = -30*n**3 + 2*n**2 - 2*n + 7. Give -2*o(k) - 3*w(k).
22*k**3 - 8*k**2 - 5
Let k(w) = -14*w + 2. Let m(f) = 15*f + 1. Determine -2*k(h) - 3*m(h).
-17*h - 7
Let t(y) = -72*y**3 - 4*y**2 + 13*y - 9. Let k(h) = 205*h**3 + 11*h**2 - 38*h + 25. Determine -4*k(n) - 11*t(n).
-28*n**3 + 9*n - 1
Let s(u) = -418*u**2 + 140*u + 20. Let r(b) = 210*b**2 - 56*b - 10. Give -5*r(o) - 2*s(o).
-214*o**2 + 10
Let u(a) = -2189*a**2 + 11*a - 6. Let q(b) = 2187*b**2 - 8*b + 4. What is -3*q(r) - 2*u(r)?
-2183*r**2 + 2*r
Let b(m) = -16*m**2 - 32*m + 21. Let c(g) = -11*g**2 - 20*g + 14. Let u(i) = 5*b(i) - 8*c(i). Let a(o) = -4*o**2 + 3. Calculate 5*a(w) + 2*u(w).
-4*w**2 + 1
Let s(y) = 42*y**3 + 18*y**2. Let b(a) = -12*a**3 - 5*a**2. Let n = 29606 + -29601. Give n*s(d) + 18*b(d).
-6*d**3
Suppose -612 = 223*s - 70*s. Let u(j) = -j**2 - 1. Let k(t) = 5*t**2 - 11*t + 5. Calculate s*u(f) - k(f).
-f**2 + 11*f - 1
Let m(t) = -24*t**3 + 11*t - 1523. Let x(k) = 9*k**3 - 4*k + 507. Calculate -4*m(h) - 11*x(h).
-3*h**3 + 515
Let f(g) = g + 1. Let x(c) = 7*c + 8. Suppose z - 3*y = 16, z - 6 = -6*y + 11*y. Let i be z/(-62)*2/3*3. Suppose 2*j = -0*j + 12. Calculate i*x(m) + j*f(m).
-m - 2
Let d(p) = p. Let w(k) = -2*k**3 + 3*k - 1. Let s(l) = -3*l**2 - 30*l - 7. Let n be s(-13). Let u = n - -125. Let c = 1 + -6. What is c*d(o) + u*w(o)?
-2*o**3 - 2*o - 1
Suppose -40*l = 9*l + 196. Let h(n) = 51*n**3 + 9*n**2 - 9*n - 9. Let z(x) = -25*x**3 - 4*x**2 + 4*x + 4. What is l*h(a) - 9*z(a)?
21*a**3
Let k(b) = -4*b - 1. Let p(n) = 5*n + 529. Give -2*k(v) - p(v).
3*v - 527
Let c(x) = 5*x**2 + 51 - 15 + 8*x**2 - 25 - 13. Let l(a) = 39*a**2 - 7. Determine 7*c(t) - 2*l(t).
13*t**2
Let b(o) = -5*o**2 - 2*o - 5. Let s(z) = 261*z**2 + 271*z**2 - 531*z**2 - 2 + 3. Calculate b(m) + 4*s(m).
-m**2 - 2*m - 1
Suppose 2 = q + 13. Let k(t) = 9*t + 7. Let j(l) = 1 + 4222*l - 1 + 4 - 4217*l. Give q*j(p) + 6*k(p).
-p - 2
Let o(z) = -z**2 - 8*z + 16. Let p be o(-9). Let n(r