4. What is -6*p(h) - 5*w(h)?
h - 1
Let h(o) be the first derivative of o**2 + 5*o - 255. Let w be 1/(-1*(-3)/(-27)). Let j(u) = -8*u - 20. Give w*h(c) - 2*j(c).
-2*c - 5
Let n(y) = -14*y - 2. Let k(p) = -p - 4. Let h(j) = j + 2. Let d(s) = 2*h(s) + k(s). Determine -10*d(m) - n(m).
4*m + 2
Let l(n) = 6. Let j = 3 + -2. Let x(k) = -3*k + 14*k - 9*k - k. Determine j*x(i) - l(i).
i - 6
Let k(i) = 2*i + 12. Let l(j) = -2*j - 13. Let n = 25032 - 25034. Determine n*l(y) - 3*k(y).
-2*y - 10
Let h(n) = 2*n**3 - 8*n**2 + 3. Let b(x) = 201 + 2*x**3 - 100 - 97 - 9*x**2. Suppose 3*j = -19*j - 66. Determine j*b(t) + 4*h(t).
2*t**3 - 5*t**2
Let z(u) = 12*u**2 - 16*u - 106. Let f(n) = 15*n**2 - 19*n - 105. Determine -5*f(h) + 6*z(h).
-3*h**2 - h - 111
Let v(d) = 30*d + 77. Let m(r) = 34*r + 79. What is 4*m(a) - 5*v(a)?
-14*a - 69
Let p = 1760 - 1762. Let f(m) = m**3 + m**2 - m - 1. Let a(z) = 31*z**3 + 2*z**2 - 2*z - 2. Calculate p*f(l) + a(l).
29*l**3
Let o(w) = 120*w**3 + 15*w + 15. Let y(s) = 17*s**3 + 2*s + 2. Suppose -3*d = -91 + 136. Determine d*y(i) + 2*o(i).
-15*i**3
Let x = 3293 - 3284. Let m(g) = 13*g + 29. Let p(n) = 3*n + 7. What is x*p(s) - 2*m(s)?
s + 5
Let k(z) = -57*z - 6. Let i(x) = -912*x - 95. Suppose a + f + 145 = 44, -5*f = -3*a - 255. Determine a*k(t) + 6*i(t).
-57*t
Let a(o) = o**3 - 28*o**2 - 61*o + 35. Let r be a(30). Let b(l) = -l + 5. Suppose 17*n + 66 = 6*n. Let z(f) = -f + 6. What is n*b(g) + r*z(g)?
g
Let l(w) = -13*w - 1147. Let r(s) = -10*s - 861. Determine -7*l(t) + 9*r(t).
t + 280
Let m(u) = 6*u**2 + 3*u - 5. Let i(r) be the second derivative of -5*r**4/12 - r**3/3 + 2*r**2 + 24*r. Let z = 270 + -267. What is z*m(k) + 4*i(k)?
-2*k**2 + k + 1
Let c(p) = p**3 - 7*p**2 + 14*p - 174. Let x be c(8). Let r(m) = -1. Let u(f) = 2*f + 10. What is x*r(n) + u(n)?
2*n + 8
Let z(b) = 26*b**3 - b**2 - 2049. Let d(u) = 17*u**3 - 2048. Determine -3*d(s) + 2*z(s).
s**3 - 2*s**2 + 2046
Let c(b) = -2*b + 1. Let q(n) = 17*n - 20. Let a(j) = -3*c(j) - q(j). Suppose 1 = 8*i - 31. Let s(g) = -6*g + 9. Suppose v = 2*v + 7. Give i*a(p) + v*s(p).
-2*p + 5
Let a(x) = 1. Let t be 1/((-11)/(-86)) - 12/(-66). Let h(v) = 25*v + 26*v - 74*v + 22*v - t. What is -2*a(p) - h(p)?
p + 6
Let n(j) = 6*j**2 + 2*j - 121. Let w(k) = 18. Calculate n(v) + 7*w(v).
6*v**2 + 2*v + 5
Let a(q) = -2*q**2 - 6*q - 46. Let f(j) = -8*j**2 - 28*j - 228. Calculate 14*a(v) - 3*f(v).
-4*v**2 + 40
Let h(i) = -i. Suppose 3*o + 0*o = -18. Let s(z) = 2*z. Let q be (((-39)/52)/(-1))/(24/32). What is o*h(l) + q*s(l)?
8*l
Let r(y) = y**2 - 4. Suppose -3*n + 6*n - 12 = 0. Let s(i) = -7 - 12 - n + 18. What is 6*r(b) - 5*s(b)?
6*b**2 + 1
Let z(g) = -9*g**3 + 17*g**2 + 18*g + 5. Let f(p) = -19*p**3 + 31*p**2 + 33*p + 11. What is 6*f(v) - 11*z(v)?
-15*v**3 - v**2 + 11
Let k(f) = 7. Let q(b) = -30. Let w(m) = 2278. Let d(i) = 153*q(i) + 2*w(i). Let a(r) = -d(r) - 5*k(r). Let g(p) = -11*p - 3. Determine -3*a(u) + g(u).
-11*u
Let r(f) = 2*f**2 - 3*f - 2. Let p(u) = -u - 1. Let i = -425 + 480. Let t be 2/(-4 + i/15). What is t*p(o) + 2*r(o)?
4*o**2 + 2
Suppose o - 3*o + 1599 = 5*r, r - 4009 = -5*o. Let p = -798 + o. Let v(q) = -7*q**3 - 5*q**2 + 5*q. Let x(f) = -6*f**3 - 4*f**2 + 4*f. Give p*v(c) - 5*x(c).
2*c**3
Let z be 7/(-4)*-2*2. Let l(g) = -6*g - 9. Let a(b) = -b**2 - 8*b + 14. Let v be a(-9). Suppose -4*x - v = 19. Let t(r) = -5*r - 8. Give x*l(h) + z*t(h).
h - 2
Let u(s) be the third derivative of -s**3/6 + 2*s**2 - 972. Let z(h) = -8*h + 2. Let a be (1 + -4)*4/6. Give a*u(i) - z(i).
8*i
Let x = 9819 + -9816. Let v(b) = 26*b**2 - 3*b. Let c(d) = d**2 + d. Determine x*c(g) + v(g).
29*g**2
Let j(h) = 5*h**3 + h**3 - 5*h**3 + h + 1. Let k(g) be the second derivative of -1/20*g**5 + 1/6*g**4 + g**2 - 9*g + 1/3*g**3 + 2. Give -2*j(z) + k(z).
-3*z**3 + 2*z**2
Let l(u) = 651701*u**2 - 2330. Let q(z) = 18187*z**2 - 65. Calculate 13*l(h) - 466*q(h).
-3029*h**2
Let o(d) = -9*d**2 - d - 1. Let t(k) = -6533*k**2 - 556*k - 556. Calculate -1668*o(a) + 3*t(a).
-4587*a**2
Let t(m) = 69*m - 832. Let c be t(12). Let n(k) = 35*k**3. Let a(w) = w**3. Give c*a(p) - n(p).
-39*p**3
Suppose 19 + 7 = 29*b - 32. Let p(y) = -3*y**3 + 3*y - 2. Let m(j) = j - 1. Determine b*m(d) - p(d).
3*d**3 - d
Let b(z) = -2*z**2 + 2*z + 8. Let k(o) be the second derivative of -20*o + 1/6*o**4 - 7/2*o**2 + 3 - 1/3*o**3. Determine -6*b(a) - 7*k(a).
-2*a**2 + 2*a + 1
Let f(n) = 15*n**2 + 74*n - 15. Let w(g) = 33*g**2 + 147*g - 35. Determine 14*f(r) - 6*w(r).
12*r**2 + 154*r
Let t(r) = -1. Let q(f) = 9*f**2 + 12. Let w be 1 + -4 - (-91)/13. Let l be 21/84 - 5/w. Calculate l*q(p) - 12*t(p).
-9*p**2
Let f(k) = 138*k**2 - 3*k - 55. Let x(i) = -184*i**2 + 4*i + 72. Determine -13*f(l) - 10*x(l).
46*l**2 - l - 5
Let c(j) = 6125*j**2 + 22*j - 11. Let r(d) = -2041*d**2 - 8*d + 4. What is -4*c(z) - 11*r(z)?
-2049*z**2
Let p(b) = -6*b**3 + 9*b**2 - 2*b. Let d(y) = -y**2 + y. Calculate 2*d(w) + p(w).
-6*w**3 + 7*w**2
Let u(t) = -374*t + 97. Let d(c) = 188*c - 54. Give 9*d(y) + 5*u(y).
-178*y - 1
Let z(t) = t - 5. Let i(p) = 3*p - 11. Let u(s) = -2*i(s) + 5*z(s). Let h(l) = l + 5*l - 2*l + 16. Suppose 13 + 51 = 12*v + 40. Determine v*h(k) + 11*u(k).
-3*k - 1
Let f(o) = -8*o. Let a(h) = h + 29. Let g be a(-25). Let d(r) = 3*r. Suppose 57*b - 70*b + 143 = 0. What is b*d(y) + g*f(y)?
y
Suppose -956 = 36*l - 812. Let a(c) = -c**3 + c**2. Let w(o) = -5*o**3 + 5*o**2 - 4*o. What is l*a(y) + w(y)?
-y**3 + y**2 - 4*y
Let v(x) = x + 9. Let y(n) = -3*n**3 + 3*n**2 + 3*n + 1. Suppose 5*w = -25, 4*o = -4*w - 0 - 24. Let c be y(o). Let k(b) = -1. Give c*k(t) + v(t).
t + 5
Let t(o) = o**3 + 69*o**2 + 1162*o + 77. Let c be t(-40). Let h(r) = 18*r**3 - 3*r**2 + 3*r - 3. Let y(i) = 35*i**3 - 5*i**2 + 5*i - 5. Give c*y(x) + 5*h(x).
-15*x**3
Let k(y) = 2*y**2 - 3*y. Let o(n) = 7*n**2 + 418*n + 2. Give -4*k(m) + o(m).
-m**2 + 430*m + 2
Let s = 0 + 8. Let n(c) = -62*c + 150*c - 45*c - 44*c. Suppose 2*j + j = 3. Let v(z) = 10*z + 2. Determine j*v(k) + s*n(k).
2*k + 2
Let d(l) = -4*l - 1. Suppose 13 + 181 = -10*g + 107*g. Let u(m) be the second derivative of 0 - 1/2*m**g - 1/6*m**3 + 34*m. What is d(j) - 2*u(j)?
-2*j + 1
Let c(f) = 1928 - 650 - 28*f - 652 - 638. Let x(r) = -5*r - 5 - 5*r - r. What is -5*c(t) + 12*x(t)?
8*t
Let n be ((-481)/(-26) + -21)*(-28)/10. Suppose -9*c = 6 - 24. Let q(p) = p + 2. Let s(f) = -2*f - 6. Give c*s(y) + n*q(y).
3*y + 2
Let k(a) = 13*a. Suppose -152 = -4*n + 4*p, 0 = -187*n + 182*n + 3*p + 192. Let m(d) = -130*d. What is n*k(h) + 4*m(h)?
-13*h
Let f(h) = h**2 + 1. Let z be (-12)/54 - 1848/(-54). Suppose -z*k + 32*k = 4. Let g(m) = m**3 + m**2 - m + 1. Determine k*f(s) + 2*g(s).
2*s**3 - 2*s
Let u(k) = -8*k**2. Let q(r) = 10*r + 486. Let j be q(0). Let o(f) = -40*f**2 - 976*f + j*f + 490*f. Give 3*o(v) - 16*u(v).
8*v**2
Let a(k) = 2*k**3 - 100*k**2 - 5*k + 38. Let d(p) = 5*p**3 - 303*p**2 - 14*p + 104. Determine -11*a(j) + 4*d(j).
-2*j**3 - 112*j**2 - j - 2
Let g(i) = 2*i**2 + 2*i + 11. Suppose 589 = 138*m + 175. Let b(q) = -2*q**2 - 3*q - 10. Determine m*g(v) + 2*b(v).
2*v**2 + 13
Let p(j) = -3*j - 5. Let d(t) = 6030*t + 1675. Calculate d(b) + 335*p(b).
5025*b
Let d(t) = -53*t - 5. Let v(j) = 52*j + 6. Let l(o) = 5*d(o) + 4*v(o). Let u(c) = -1. What is -l(z) + 3*u(z)?
57*z - 2
Let m(a) = a**2 + 38*a + 303. Let i be m(-27). Let k(g) = -g - 1. Let u(q) = 2*q + 6. Give i*k(x) + 2*u(x).
-2*x + 6
Let t = 6 + -10. Let q(v) be the first derivative of -2*v**3/3 - v - 701. Let j(o) = 3*o**2 + 2. Calculate t*j(b) - 5*q(b).
-2*b**2 - 3
Let f(a) = -20*a - 33. Let h(i) = -12*i - 16. What is 2*f(c) - 5*h(c)?
20*c + 14
Let m(s) = -s - 6. Let l be m(0). Suppose 6 = -141*f + 135*f. Let j(q) = q**2. Let o(c) = -7*c**2 + 3*c + 2. Determine f*o(b) + l*j(b).
b**2 - 3*b - 2
Suppose 20*x - 93 + 273 = 0. Let v(i) = -4*i**2 - 9*i + 9. Let o(b) be the second derivative of 22*b + 0 - 2/3*b**3 + 2*b**2 - 1/6*b**4. Give x*o(r) + 4*v(r).
2*r**2
Let k(y) = 173*y**3 - 13*y + 17. Let z(o) = -347*o**3 + 24*o - 35. Give 11*k(v) + 6*z(v).
-179*v**3 + v - 23
Let x(u) = -10*u**2 + 13*u + 15. Let t(h) = 27*h**2 - 39*h - 43. Calculate 6*t(p) + 17*x(p).
-8*p**2 - 13*p - 3
Let q(b) = b**2 + b + 6. Let p(r) = 130*r**2 - 3*r + 20. Determine -p(k) + 3*q(k).
-127*k**2 + 6*k - 2