- 3. Calculate -9*n(a) - 4*o(a).
-60*a**3 - 1
Let i(f) = 1217*f**3 - 3*f - 3. Let z(r) = 1216*r**3 - 4*r - 4. What is -4*i(u) + 3*z(u)?
-1220*u**3
Let h(r) = -6*r**3 + 7*r**2 - 180. Let d(w) = -5*w**3 + 6*w**2 - 177. Determine -7*d(b) + 6*h(b).
-b**3 + 159
Let g(d) = -d**3 - 5*d**2 + 5*d - 5. Let f be g(-6). Let l(r) = f - 5 - 6*r + 8. Let u(j) = j - 1. Give -l(v) - 4*u(v).
2*v
Let f(w) = -1087*w**3 - 3*w**2 + 7*w + 3. Let s(t) = 1089*t**3 + 2*t**2 - 5*t - 2. Determine -2*f(l) - 3*s(l).
-1093*l**3 + l
Let m = 3 - 5. Let n(g) = -3 - 4 + 9 - 3 + 3*g. Let w(c) be the third derivative of 13*c**4/24 - 5*c**3/6 - 2*c**2. Determine m*w(i) + 9*n(i).
i + 1
Let l(r) = 17*r + 12. Let h(x) = -6*x - 4. Let q(c) = c**3 + 8*c**2 + 11*c + 5. Let j be q(-6). Calculate j*h(a) + 4*l(a).
2*a + 4
Let f(h) = -179*h - 10. Let r(z) = 177*z + 8. Give -3*f(p) - 4*r(p).
-171*p - 2
Let y(a) = 1502*a**2 + 6 - 1501*a**2 - 5. Let z(f) = -4*f**3 + 2*f**2 - f + 2. Give -2*y(w) + z(w).
-4*w**3 - w
Let d(u) = -159*u**3 - 3*u - 1. Let z(o) = -o. What is -d(j) + 3*z(j)?
159*j**3 + 1
Let p(u) be the first derivative of -u**2/2 + u + 528. Let h(k) = -3*k + 14. Calculate h(r) - p(r).
-2*r + 13
Let r(k) = -347*k**2 - 5*k + 3. Let b(s) = -173*s**2 - 2*s + 2. Give 5*b(q) - 2*r(q).
-171*q**2 + 4
Let r(f) = 3*f + 1. Let v(g) = -4*g - 2. Let l(h) = r(h) + v(h). Let o(x) = -x + 4. Determine -2*l(n) - o(n).
3*n - 2
Let u(z) = 52*z**2 - 6*z - 6. Let y(d) = -d - 1. Determine u(s) - 6*y(s).
52*s**2
Let m(c) = -11*c**2 - 2*c + 2. Let n(k) = 14*k**2 + 2*k - 1. Let w(q) = 3*m(q) + 2*n(q). Let l(f) = 6*f**2 + 3*f - 5. What is -3*l(s) - 4*w(s)?
2*s**2 - s - 1
Let w(u) = -u + 1. Let q(o) = -13*o - 50. Let t(i) = i - 2. Let x(p) = q(p) + 2*t(p). Let r be x(-5). Let h(s) = s**2 - 5*s + 5. What is r*h(y) - 5*w(y)?
y**2
Suppose 115*c - 113*c = 2. Let p(q) = 3*q**2 + 3*q + 2. Let u(r) = -r**2 + r + 1. Determine c*p(y) - 2*u(y).
5*y**2 + y
Let k(h) = 10*h - 13. Let l(a) = -22*a + 27. Give -13*k(j) - 6*l(j).
2*j + 7
Let m(v) = -23800*v**2 + 119. Let o(w) = 1190*w**2 - 6. Give 6*m(t) + 119*o(t).
-1190*t**2
Let a(b) = -11*b**3 - 8*b**2 + b + 2. Let t(w) = 32*w**3 + 22*w**2 - 2*w - 5. Determine -8*a(k) - 3*t(k).
-8*k**3 - 2*k**2 - 2*k - 1
Let s(f) = -2*f - 1. Let l(g) = 496*g + 279. Calculate 2*l(q) + 558*s(q).
-124*q
Let a(d) = -d. Let z(v) = 3*v - 1. Suppose -p - 8 = 3*o, -p + 4*o + 1 + 12 = 0. Calculate p*z(s) + 5*a(s).
-2*s - 1
Suppose -5*w - 25 = -0*w. Let x(v) = 2*v**2 + 12*v - 11. Let j(f) = 2*f - 2. Let n(l) = 3*j(l) - x(l). Let p(b) = 2*b**2 + 5*b - 4. Determine w*n(i) - 6*p(i).
-2*i**2 - 1
Let r(o) be the first derivative of -o**4/4 + 7*o**3/3 + 9*o**2/2 + 77. Let m(n) = 4*n**2 + 5*n. Determine -5*m(k) + 3*r(k).
-3*k**3 + k**2 + 2*k
Let k(y) be the first derivative of -2*y**3/3 - y**2 + 3*y - 12. Let o(n) be the first derivative of k(n). Let b(f) = 9*f + 5. Determine -2*b(g) - 5*o(g).
2*g
Let f(w) be the third derivative of w**6/120 - 7*w**5/60 + w**4/8 + w**2 - 6. Let t(j) = j**3 - 8*j**2 + 4*j. What is -6*f(c) + 5*t(c)?
-c**3 + 2*c**2 + 2*c
Let v(y) = -128*y**2 + 2*y - 8. Let w(f) = 129*f**2 - f + 6. Give -3*v(q) - 4*w(q).
-132*q**2 - 2*q
Suppose -74*d - 22 = -72*d - 5*r, -3*d + 3*r - 24 = 0. Let y(p) = -10*p**3 - 7*p**2 - 8*p + 6. Let t(q) = 9*q**3 + 6*q**2 + 7*q - 5. What is d*t(g) - 5*y(g)?
-4*g**3 - g**2 - 2*g
Let x be 6/10 + (-408)/255. Let u(j) = j - 1. Let b(h) = h**2 + 4*h - 7. Give x*b(a) + 6*u(a).
-a**2 + 2*a + 1
Let g(o) = -o**2 + o. Let j(c) = -7*c**3 + 25*c**2 - c. Calculate -g(y) - j(y).
7*y**3 - 24*y**2
Let t(p) = -7*p - 1. Let n(g) be the second derivative of 0 + 0*g**2 - 1/3*g**3 + 9*g. Give 6*n(d) - 2*t(d).
2*d + 2
Let l(v) = 11*v**3 + 7*v**2 + 4*v + 1. Suppose -2*k + g = -17, -33*k + 29*k + 3*g + 37 = 0. Let a(x) = 5*x**3 + 3*x**2 + 2*x. Calculate k*a(s) - 3*l(s).
2*s**3 + 2*s - 3
Let h(v) = 2*v**2 - v + 2. Let k(q) = -14*q**2 + 6*q - 5. Let r(c) = 5*h(c) + k(c). Let z(n) = -n**2 + 1. Determine 2*r(j) - 10*z(j).
2*j**2 + 2*j
Let x(z) = 9*z - 5. Let t(n) be the second derivative of -7*n**3/3 + 4*n**2 + 3*n + 6. Calculate -5*t(a) - 8*x(a).
-2*a
Let d(v) = 23*v. Let x(i) be the first derivative of 63*i**2 - 154. Calculate 27*d(f) - 5*x(f).
-9*f
Let c(i) = -3*i. Let x be -1*(-12)/102 - (-6136)/(-136). Let f(w) = 65*w. Determine x*c(l) - 2*f(l).
5*l
Let i(o) = 2*o**2 + 6*o + 5. Let s(t) = -t - 1092 - 3*t**2 + 2*t + 1093. Let j(g) = -g**2 + g + 1. Let z(c) = 2*j(c) - s(c). Calculate -i(b) + 5*z(b).
3*b**2 - b
Let q(l) = l**3 - 34*l**2 - 5*l + 5. Let h(m) = -11*m**2 - 2*m + 2. Give -8*h(w) + 3*q(w).
3*w**3 - 14*w**2 + w - 1
Let m(k) = -5*k**2 + 4*k - 7. Let q(x) = 11*x**2 - 9*x + 15. Suppose 68*r - 321 = 563. What is r*m(c) + 6*q(c)?
c**2 - 2*c - 1
Let k(i) = -i**3 - 8*i**2 + 67*i. Let r(x) = -3*x**3 - 22*x**2 + 200*x. What is -11*k(n) + 4*r(n)?
-n**3 + 63*n
Suppose 3*d + 3*p = 10 + 38, -d = -3*p - 20. Let j = d - 21. Let i(n) = 7*n + 9. Let l(g) = -3*g - 4. Determine j*i(s) - 9*l(s).
-s
Suppose -4*l = -7 - 5. Let s(h) = -5*h - 2 + 20 - 1 - 16. Let d(q) = 17*q - 15. Let t(o) = 8*o - 8. Let j(w) = -6*d(w) + 11*t(w). Give l*j(f) - 8*s(f).
-2*f - 2
Let c(a) = a + 3. Let b(y) = 6*y + 14. Suppose -2*q = 2*q + 12, 7 = -2*p - 5*q. Suppose 0 = 2*l + 32 - p. What is l*c(x) + 3*b(x)?
4*x
Let v = 4 - 1. Let s(r) = -5*r + 1. Let b(p) = -4*p. Let y be -7 + -15*(-5)/15. What is v*b(w) + y*s(w)?
-2*w - 2
Let v(s) = -61*s**2 + 6. Let t(x) = 60*x**2 + x - 4. Calculate -3*t(o) - 2*v(o).
-58*o**2 - 3*o
Let l(u) be the first derivative of 13*u**4/4 + 7*u**3/3 - 11*u - 220. Let x(y) = 6*y**3 + 3*y**2 - 5. Give 4*l(t) - 9*x(t).
-2*t**3 + t**2 + 1
Let k(c) = -c**3 + 2*c**2 - 3*c + 8. Let m(y) = 6*y**3 - 11*y**2 + 17*y - 48. Determine 34*k(x) + 6*m(x).
2*x**3 + 2*x**2 - 16
Let h(i) = 21*i - 4. Let b(v) = -21*v + 3. Let u(x) = -x**3 + 28*x**2 + 91*x + 59. Let p be u(31). Give p*h(r) - 4*b(r).
21*r
Let r(o) = -2*o + 57. Let p(u) = -3*u + 85. Give -5*p(q) + 8*r(q).
-q + 31
Let q(z) = -6*z + 1. Let i = 16 - 10. Let l(f) = -36*f - 3. Let a(w) = -13*w - 1. Let p(h) = -17*a(h) + 6*l(h). Give i*q(d) + 7*p(d).
-d - 1
Let k(o) = 3*o**2 + 3*o - 2. Let t(l) = l**2 - 1. Suppose 5*y - 16 = 5*a + 8*y, 5*y + 2 = 4*a. Give a*t(j) + k(j).
j**2 + 3*j
Let d(k) = -k**2 - 6*k - 1. Let a(m) = 9*m**2 - 130*m + 8. Calculate a(l) + 6*d(l).
3*l**2 - 166*l + 2
Let d = 37 - 33. Let i(p) = -25 - 4*p**2 + 2*p**2 + 24. Let x(q) = q**2 + 1. Determine d*x(w) + i(w).
2*w**2 + 3
Let s(w) = -15*w + 18. Let p(z) = -7*z + 9. Give -13*p(m) + 6*s(m).
m - 9
Let h(s) = s + 1. Let j(v) = -346*v + 113*v + 115*v + 119*v. Determine 3*h(m) - 5*j(m).
-2*m + 3
Let b(r) = r + 1. Suppose 0*k + 15 = -2*k - 5*l, 3*l + 30 = 3*k. Let v(f) be the second derivative of 0 + k*f - 2/3*f**3 - 5/2*f**2. Give 6*b(o) + v(o).
2*o + 1
Let r(o) = -o**2 + o + 1. Let l(w) = 14*w**2 - 6*w - 8. Let z = -865 + 864. Calculate z*l(v) - 8*r(v).
-6*v**2 - 2*v
Let x(p) = -6*p**3 - p. Let j(i) = i**3. Let v(b) = -5*j(b) - x(b). Let u(h) = -4*h**3 - 3*h - 1. Let f = 1014 + -1016. Determine f*u(o) - 7*v(o).
o**3 - o + 2
Let m(q) = 4*q**3 + 9*q**2 - 5*q - 10. Let d(h) = -2*h**3 - 4*h**2 + 2*h + 5. Let l be (22 - 24)*(30/(-4))/(-3). Calculate l*d(j) - 2*m(j).
2*j**3 + 2*j**2 - 5
Let k(g) be the first derivative of -2*g**3/3 - 5*g**2/2 - 3*g - 106. Let w(f) = -10*f**2 - 24*f - 14. Give -14*k(o) + 3*w(o).
-2*o**2 - 2*o
Let g(m) be the first derivative of 10*m**3/3 + 7*m**2/2 - 3*m + 70. Let f(n) = -5*n**2 - 4*n + 2. Give -5*f(w) - 3*g(w).
-5*w**2 - w - 1
Let x(q) = -2*q**3 + 89*q**2 - 4*q + 2. Let t(f) = f**3 - 89*f**2 + 3*f - 2. Give 4*t(i) + 3*x(i).
-2*i**3 - 89*i**2 - 2
Let x(v) = -26*v**2 - v + 12. Let o(h) = -17*h**2 - h + 8. Determine -7*o(f) + 5*x(f).
-11*f**2 + 2*f + 4
Let x(b) be the second derivative of -b**4/12 + b**3/6 + 2*b. Let y(k) = -k**2 + k + 3. Suppose 3*u = 2*r + 2*u + 1, 5*r = 5*u. What is r*y(s) + 3*x(s)?
-2*s**2 + 2*s - 3
Let g(b) = -25 + 43 + 4*b - 18. Let q(c) = 17*c. Calculate -26*g(w) + 6*q(w).
-2*w
Suppose 4*z = 0, 3*q - 7*q + 24 = 2*z. Let i(c) = 9 - 3*c - 28*c + 8*c + q*c. Let x(t) = 8*t - 4. Give -4*i(p) - 9*x(p).
-4*p
Let r(h) = 21*h + 116. Let k(d) = -10*d - 58. What is 13*k(b) + 6*r(b)?
-4*b - 58
Let k(r) = -17*r**3 - r**2 - 7*r. Let g(o) = 50*o**3 + 2*o